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Characterizing the disk around the TW Hydrae Association brown dwarf 2MASSW J1207334-393254

a r X i v :a s t r o -p h /0702442v 1 16 F e

b 2007

Characterizing the disk around the TW Hydrae Association

brown dwarf 2MASSW J1207334-393254

Basmah Riaz and John E.Gizis

Department of Physics and Astronomy,University of Delaware,Newark,DE 19716;

basmah@https://www.doczj.com/doc/fe15727025.html,,gizis@https://www.doczj.com/doc/fe15727025.html,

ABSTRACT

We present detailed modeling of the disk around the TW Hydrae Association

(TWA)brown dwarf 2MASSW J1207334-393254(2M1207),using Spitzer obser-

vations from 3.6to 24μm.The spectral energy distribution (SED)does not show

a high amount of ?aring.We have obtained a good ?t using a ?at disk of mass between 10?4and 10?6M ⊙,˙M

10?11M ⊙yr ?1and a large inclination angle between 60?and 70?.We have used three di?erent grain models to ?t the 10μm

Si emission feature,and have found the results to be consistent with ISM-like

dust.In comparison with other TWA members,this suggests lesser dust pro-

cessing for 2M1207which could be explained by mechanisms such as aggregate

fragmentation and/or turbulent mixing.We have found a good ?t using an inner

disk radius equal to the dust sublimation radius,which indicates the absence of

an inner hole in the disk.This suggests the presence of a small K-L ′excess,

similar to the observed K-[3.6]excess.

Subject headings:accretion,accretion disks –circumstellar matter –stars:low-

mass,brown dwarfs –stars:individual (2MASSW J1207334-393254)1.Introduction

Over the last decade,a large number of sub-stellar mass objects have been discovered,

with masses ranging from the hydrogen burning limit ( 0.075M ⊙)down to the mass of giant planets and below the deuterium burning limit ( 0.013M ⊙).The presence of accretion disks in sub-stellar objects has been con?rmed by signatures of ongoing accretion (e.g.Muzerolle et al.2003,2005;Mohanty et al.2005)and the presence of excess emission in the near-and mid-infrared (e.g.Jayawardhana et al.2003;Muench et al.2001;Mohanty et al.2004;Apai et al.2004;Luhman et al.2005).The fraction of circumstellar disks appears to be similar for young brown dwarfs and T Tauri stars (e.g.Luhman et al.2005;

Jayawardhana et al.2003).Furthermore,brown dwarf disks have been found to show a range in disk properties,similar to T Tauri disks.The observed SEDs have been well?t by models of both?ared and?at disks using a range of grain sizes from ISM-like dust to grains as large as1mm(e.g.Allers et al.2006;Muzerolle et al.2006).Inner holes of a few sub-stellar radii have been found to be common in brown dwarf disks(e.g.Mohanty et al. 2004;Allers et al.2006).Recently,Muzerolle et al.(2006)have reported the?rst brown dwarf with evidence of an AU-scale inner disk hole.The inner disk lifetimes for brown dwarf disks appear to be similar to the disks around T Tauri stars(Jayawardhana et al.2003). While some brown dwarfs demonstrate an absence of the silicate emission feature near10μm (e.g.Cha Hα2;Apai et al.2002),others display a variety in the shape and strength of this feature,that have been explained by the presence of either small ISM grains(e.g.Cha Hα1; Sterzik et al.2004)or large amorphous grains of sizes~2μm(e.g.CFHT BD Tau4;Apai et al.2004).Disk masses in the range-4 log(M d/M⊙) -7have been determined for young brown dwarf disks(e.g.Walker et al.2004),with no change seen in the relative disk mass with object mass at the substellar boundary(Scholz et al.2006).A similar absence of discontinuity has been seen in the distribution of disk accretion rates with stellar mass (Muzerolle et al.2005).Together such similarities indicate that brown dwarf disks are just scaled-down versions of T Tauri disks.

A detailed study of brown dwarf disks is important to test the di?erent formation mechanisms for these sub-stellar objects.The numerical simulations of star formation by Bate et al.(2003)have shown that for brown dwarfs that form via the ejection mechanism, i.e.,as stellar embryos in multiple systems that are ejected at an early stage,disks of radii larger than~20AU are rare(~5%).This is because brown dwarfs are ejected so soon after their formation that they do not have time to accrete the high angular momentum gas required to form a large disk.On the other hand,if most brown dwarf disks observed have large outer radii,it would suggest that the ejection mechanism rarely operates and would support a star-like formation,i.e.via the collapse of molecular cloud cores with sub-stellar masses.Planet-like formation of a brown dwarf in a circumstellar disk would,however, require an absence of dust around it(e.g.Apai et al.2002).Recent e?orts by Scholz et al. (2006)have shown that25%of their target brown dwarfs have disk radii>10AU,indicating star-like formation.Observations of larger samples of sub-stellar disks would be able to con?rm or reject the di?erent formation scenarios.Characterization of brown dwarf disks is also important to understand the conditions under which planets can form in these disks. Processes that may lead to planet formation such as grain growth,crystallization and dust settling have been reported for some brown dwarfs(e.g.Apai et al.2005),suggesting that even sub-stellar disks of a few Jupiter masses can harbor planets.

The brown dwarf2MASSW J1207334-393254(hereafter,2M1207)was discovered by

Gizis(2002)and was con?rmed to be a TW Hydrae Association(TWA)member by Scholz, R.-D.et.al.(2005),based on its proper motion.It is known to be undergoing accretion that varies by a factor of5-10on a time scale of~6weeks(Scholz et al.2005).Excess emission has been detected in the infrared(IR)by Sterzik et al.(2004;hereafter S04)and Riaz et al.(2006;hereafter R06),indicating the presence of a circumsubstellar disk of gas and dust.The UV spectrum for2M1207shows H2emission lines as due to the presence of circumsubstellar gas,that gets(shock)heated up to high temperatures of~105K as it falls along an accretion column onto the substellar surface,giving rise to C IV lines in emission (Gizis et al.2005).Gizis et al.had also shown that the lack of Si emission in the hot spots is due to its depletion into dust grains in the circumsubstellar disk.Indeed,observations by S04indicated the presence of Si emission in the dusty disk.Based on their8.7and10.4μm observations,S04had found that both a large grain size(up to5μm),large inclination angle ?ared disk,and a?at disk composed of small(0.1μm)or large(2μm)grains provide a good ?t.In R06,we had reported on the Spitzer observations of2M1207from3.6to24μm,and had shown the presence of warm(T>100K)dust close(R<0.2AU)to the brown dwarf. We were able to get a good?t to our observations using a straight line of slope of~-1.3, indicating a?at disk for2M1207.Here we have used disk models to further characterize the disk.

2.Disk modeling

We have used the2-D radiative transfer code by Whitney et al.(2003).The circum-stellar geometry consists of a rotationally?attened infalling envelope,bipolar cavities,and a ?ared accretion disk in hydrostatic equilibrium.With evolution from a Class0to Class III source,the cavity density and the envelope infall rate decreases,while the disk radius and the cavity opening angle increases.The disk density is proportional to??α,where?is the radial coordinate in the disk midplane,andαis the radial density exponent.The disk scale height increases with radius,h=h0(?/R?)β,where h0is the scale height at R?andβis the?aring power.Since we are?tting a disk source,the envelope was turned o?by setting its mass infall rate equal to zero.For the stellar parameters,we have used T eff=2550K and M?=0.024M⊙(Mohanty et al.2006).Mohanty et al.have considered an age of5-10Myr to determine the https://www.doczj.com/doc/fe15727025.html,ing this T eff and M?,the evolutionary tracks by Burrows et al. (1997)imply R?~0.024R⊙.A distance of59pc(Song et al.2006)was used to scale the output?uxes from the models to the luminosity and distance of2M1207.The NextGen (Hauschildt et al.1999)atmosphere?le for a T eff of2600K,and log g=3.5was used to ?t the atmosphere spectrum of the central sub-stellar source.We note that Mohanty et al.have determined the e?ective temperature by using the DUSTY models by Allard et al.

(2001).However,we could not?nd any di?erences between the two atmospheric models at a T eff of2600K.As noted by Gorlova et al.(2003),variations in these models due to the inclusion of dust opacities become apparent only below~2300K.Table1lists the IRAC and MIPS observations from R06.Table2lists the stellar parameters used,and the range of disk parameters that provide good?ts to2M1207.

Fig.1compares the amount of?aring in2M1207disk with other brown dwarf disks,by looking at the ratio of24and4.5μm?uxes as a function of the24μm?ux.The dashed line represents a geometrically thin,optically thick?at disk with a spectral slopeλFλ∝λ?4/3. The solid line represents the photosphere of a brown dwarf at T eff=2600K.L1707and L291 are two brown dwarf disks in IC348that show some amount of?aring,and have been?t by a model disk with˙M=10?11M⊙yr?1,a max=0.25μm and an inclination of60?(Muzerolle et al.2006).2M1139511-315921(hereafter,2M1139),another brown dwarf in TWA,is nearly photospheric,while TW Hya has a highly?ared disk.2M1207lies just at the dashed line, indicating an optically thick?at disk.That the disk is optically thick can also be inferred from the3.6to8μm slope,α,of the https://www.doczj.com/doc/fe15727025.html,da et al.(2006)have used the values ofαto discriminate between sources with and without disks in IC348.Sources withα>-1.8have optically thick disks,while the ones with-1.8>α>-2.65have anemic or optically thin disks.A source withα<-2.56is photospheric(i.e.disk-less).Anαof-1.5for2M1207thus indicates the presence of an optically thick disk.

For a disk in vertical hydrostatic equilibrium,the amount of?aring in the disk depends on the stellar mass and the disk temperature,as the disk scale height h∝(T d/M?)1/2(Walker et al.2004).Thus the scale height increases with decreasing mass,resulting in more vertically extended disks for brown dwarfs compared to those around classical T Tauri stars(CTTS). Walker et al.found h(100AU)for a0.01M⊙brown dwarf to be~60AU,compared to~15 AU for a CTTS.Due to the larger scale heights for lower masses,the disk can intercept and thus scatter and reprocess more stellar radiation,resulting in large infrared excesses.We have varied the degree of?aring by adjusting the values of the?aring powerβ.Fig.2a shows that for M2M1207~0.024M⊙,the SED is highly?ared forβ=1.25(typical value for models of T Tauri disks in hydrostatic equilibrium).The variations in the SEDs asβis lowered are more evident forλ>10μm.Our24μm observation indicates that the models withβbetween1.05and1.1are good?ts to2M1207disk.

The models we are using here consider a?ared accretion disk.Walker et al.(2004) have shown that low mass?ared disks are a good?t to SEDs that had been previously ?t by a?at disk.Even though the hydrostatic solution gives a highly?ared disk,most of the mass is in the gas due to a gas-to-dust mass ratio of100.So if there is dust settling in a?ared disk,the dust disk observed in the IR could still be?attened compared to the

gas disk.Walker et al.have concluded that long wavelength observations are required to discriminate between a?at disk and a low mass?ared disk.The typical range of brown dwarf disk masses is found to be-4 log(M d/M⊙) -7(e.g.Walker et al.2004,Scholz et al.2006).In Fig.2b,we have varied the disk masses between10?2M⊙and10?9M⊙.Higher mass disks are more?ared,while the10?9M⊙SED is nearly photospheric.As the disk mass decreases,the disk becomes optically thin,and near and mid-infrared radiation is seen from the whole disk,whereas for larger disk masses,the disk is optically thick and IR radiation is only seen from the surface layers of the disk.Variations in the SEDs are more evident for λ>10μm,and our24μm observation indicates disk masses between10?4and10?6M⊙to be good?ts.Observations at far-IR/sub-mm wavelengths can correctly determine the disk mass and con?rm the presence of a population of large grains that dominate the disk mass but contribute little to the opacity at near-and mid-IR wavelengths.

In Fig.2c,we have explored a range of inclination angles to the line of sight.Due to binning of photons in the models,there are a total of10viewing angles,with face-on covering0-18?inclinations.The mid-and far-IR?uxes increase with decreasing inclinations, as the emission at these wavelengths is from an optically thick disk,while the optically thin millimeter?uxes are independent of the inclination.For edge-on disks,the star contributes only indirectly through scattered light.The10μm silicate feature is a broad absorption band for such sources,since the large extinction in the disk midplane blocks thermal radiation from the deeper layers,and low albedos prevent radiation from scattering out through the upper disk layers(Whitney et al.2003).Fig.2c shows that bins of63?and69?are a good?t to 2M1207disk.On the basis of the redshifted absorption component in the Hαpro?le,Scholz et al.(2005)had concluded that2M1207is seen with an inclination of i 60?.Our model ?ts are thus consistent with previous conclusion on the inclination angle.

A well-mixed model assumes di?use ISM-like dust(i.e.silicates and graphite grains with a maximum size of~0.25μm)to be uniformly mixed with the disk gas.However, such models exhibit too little mm-?ux and larger far-infrared?uxes than those observed for CTTS(D′Alessio et al.2006).Indeed,Scholz et al.(2006)could not?nd a good?t to their Taurus brown dwarf disks using models with dust and gas well mixed in vertical hydrostatic equilibrium,as these produce too large far-infrared emission,while underpredict the mid-infrared?uxes.The?at SED slopes observed at mm-wavelengths in some T Tauri disks indicate the presence of grains larger than those in the ISM.This suggests dust settling and grain growth that a?ect disk temperatures and vertical structures,resulting in dust photospheres that are?atter rather than?ared(e.g.,Dullemond&Dominik2004).With grain evolution,the upper disk layers are rapidly depleted of the dust material,leaving only the smallest grains at larger scale heights while the larger grains settle in the disk midplane. With reduction in number of small grains in the upper layers,the IR opacity decreases,which

results in lower IR?uxes.Also,this small population of small grains at larger scale heights produces the observed emission features such as the silicate bands near10μm.The large grains that settle in the interior are able to produce large mm?uxes(due to their larger mm emissivity)and can explain the observed?at SED slopes at mm wavelengths(D′Alessio et al.2006).Thus models in which grain sizes vary with the scale height in the disk are better able to?t the observed SEDs,compared to the well-mixed models.

The models used here provide the capability to include di?erent grains in di?erent regions(see Whitney et al.2003,Fig.1).There are three grain models supplied by the code.All of these grain models use a range of grain sizes that can be approximated as a power-law.The di?erence is in the maximum grain sizes.The three grain models used are: large grains with a size distribution that decays exponentially for sizes larger than50μm up to1mm,grains of sizes with a max~1μm,and ISM-like grains with a max~0.25μm.We have varied these three di?erent grain sizes in the disk midplane and the upper atmosphere. The upper atmosphere corresponds to the highest layers in the disk,while the disk midplane is the densest region.The code,by default,uses the large grains of a max=1mm in the disk midplane,the a max~1μm grains in the disk atmosphere,and the ISM-like grains in the out?ow.In short,the grain size decreases with increasing scale height in the disk,with the small grains in the upper layers and large grains in the midplane.

Using these default parameters,while the model SED is a good?t to our IRAC and24μm observations(Fig.3a),it fails to produce the silicate emission feature near10μm,as can be seen from Fig.3b.Wavelengths between7and14μm cover the10μm silicate emission feature,whose shape and strength is determined by dust grain size and composition.A peak at9.8μm indicates the presence of amorphous interstellar grains,while disks that show prominent crystalline silicate emission features,indicative of highly processed dust,have characteristic peaks at9.3and11.3μm(e.g.,Apai et al.2005).For the case of2M1207, there are only three observations(at8,8.7and10.4μm)in this wavelength range to indicate the presence of a silicate emission feature.We have used a simple reducedχ2analysis to determine if the large or the small grains provide a good?t to this feature.Fig.3b shows that if the disk midplane grain model is changed from a max=1mm to the a max~1μm sized grains,the SED is a good?t to the8.7μm observation,but the?uxes are still low to?t the10.4μm point.On the other hand,reducing the grain size further to ISM-type grains with a max~0.25μm provides the best?t(lowest reducedχ2value)to the silicate feature. For our IRAC and24μm observations,any grain model provides a good?t,as variations in the SEDs for di?erent grain sizes are evident at either~10μm or at far-IR/sub-mm wavelengths.The presence of large grains in the disk midplane results in?atter slopes at longer wavelengths,as can be seen from Fig.3a.

The changes in the grain sizes discussed above were made in the disk midplane,while setting the disk atmosphere grains to sizes of a max~1μm.We next varied the disk upper atmosphere grain sizes,while setting the disk midplane grains to a max~1mm.In the disk atmosphere,using ISM-like grains or any other grain size fails to produce the silicate emission feature.The10μm silicate feature only seems to be sensitive to the grains in the disk midplane.This can be explained by the di?erence in theτ=1surface depth as a function of wavelength of the emission.Though the10μm silicate feature arises from the optically thin surface layer of the disk,it probes a deeper layer compared to shorter wavelengths.The upper atmosphere corresponds to the highest layers of the disk,where the disk material is optically thick toλ~1μm stellar radiation.Atλ~10μm,characteristic of the reprocessed radiation from the top disk layers,the disk has less optical depth and the reprocessed radiation can di?use and heat up the inner layers of the disk.The disk atmosphere is heated up to a higher temperature than the inner layers,resulting in a vertical temperature inversion that produces the silicate feature in emission(Calvet et al.1992).The model used here assigns large grains to the high density regions.Due to this,when large grains are used in the disk midplane,similar grains are placed close to the inner wall since it is of high density.This a?ects the emission from the inner wall and hence the observed?ux at10μm.Thus by using sub-micron sized grains in the disk midplane,we have indirectly reduced the inner wall grain size,and were able to obtain a good?t to the10μm Si feature. There could still be bigger grains in the really dense midplane region of the disk,the presence of which can be con?rmed with far-IR/sub-mm observations.On the other hand,if this were a′′three-layered′′disk model instead of a′′two-layered′′one,large grains could be placed in the very dense regions without a?ecting the10μm feature.

On the basis of a reducedχ2analysis,we have found that ISM-like grains provide the best?t to the10μm silicate emission feature for2M1207.This is in contrast with other TWA members,such as TW Hya,HD98800B and Hen3-600A,that exhibit broad silicate emission features.The N-band spectra for Hen3-600A shows a mixture of crystalline silicate components(Honda et al.2003),while those for TW Hya and HD98800B have been?t using large(2μm)amorphous olivine grains(Weinberger et al.2002,Sch¨u tz et al.2004).Grain growth and crystallization have similar e?ects on the10μm silicate feature(Kessler-Silacci et al.2006).As grains grow from sub-micron sizes to several microns,the10μm feature becomes weaker and less peaked.2M1207shows weak dust processing signatures compared to other TWA members.The presence of grain growth and settling in other brown dwarfs (e.g.,Apai et al.2005)does not support di?erent dust processing mechanisms for stellar and sub-stellar objects.However,if mechanisms such as aggregate fragmentation and/or turbulent mixing occur along with grain growth in the disk,then the time scales over which grain growth and dust settling takes place may be prolonged.Fragmentation results in

replenishment of small grains throughout the disk,while turbulent mixing can increase the time scale over which grains settle,as it can bring both large and small grains back to the disk surface.Grain growth models by Dullemond&Dominik(2004)indicate that growth to meter sizes is rapid(~103years at1AU and105years at30AU).On the other hand, fragmentation of grains allows for a semi-stationary state to be reached after about104years, for grain sizes below~1cm,which may last for several million years.Thus an equilibrium between grain growth and small grain replenishment rates may explain the presence of ISM-type grains in the upper disk layers of2M1207at an age of~10Myr.Due to the regeneration of small grains on the disk surface,Kessler-Silacci et al.(2006)could not?nd a correlation between the strength of the10μm feature and the age or disk evolutionary state,which is consistent with our?nding of weaker dust processing in2M1207compared to other TWA members.However,a detailed study of the N-band spectrum for2M1207would make it possible to decompose the10μm feature into distinct dust species and con?rm our results.

The above analysis of grain sizes is based on the10μm silicate feature.The?at slopes of the SED at millimeter wavelengths can correctly indicate the presence of grains larger than those in the ISM.As shown in Fig.3a,using sub-micron sized particles in the disk midplane provides a good?t to our observations up to24μm.This results in steeper slopes at sub-millimeter wavelengths.Lommen et al.(2006)have found a correlation between the peak10μm?ux and the millimeter slope for T Tauri disks,indicating that grain growth occurs in the outer disk and in the surface layers of the inner disk simultaneously.They have explained that when aggregates are fragmented in collisions,which must take place in order to preserve the small grain population in the upper disk layers to produce the10μm feature,the size of the fragments increases as the aggregate size increases.That is,larger particles are produced due to fragmentation of larger aggregates.For the case of TW Hya, the outer disk is optically thick and requires~1cm sized particles to?t the sub-millimeter and millimeter slopes,while the inner disk region of 4AU is optically thin,and requires ~1μm sized grains to produce the silicate feature(Calvet et al.2002).The presence of sub-micron sized particles in the upper layers of2M1207disk,as indicated by model?ts, then suggests that the largest particles in the disk have not yet grown to sizes of millimeter or larger,indicating steeper slope in the millimeter regime.

Fig.4a shows the SEDs for mass accretion rates between10?9and10?12M⊙yr?1. Higher accretion rates result in larger scale heights in the optical and far-IR,but lower at near-IR wavelengths.Typical˙M values for young low mass stars and brown dwarfs are in the range of10?10and10?12M⊙yr?1(Muzerolle et al.2005).Mohanty et al.(2003)have con?rmed2M1207to be a CTTS-like accretor on the basis of the detection of He I and upper Balmer lines and the condition that accretors should display broad asymmetric Hαemission. Scholz et al.(2005)have found that the accretion rate varies by a factor of5-10between

10?10.1±0.7and10?10.8±0.5M⊙yr?1,on a timescale of6weeks.Fig.4a shows that while the SED for10?9M⊙yr?1is clearly not a good?t,˙M of10?10M⊙yr?1indicates excess emission in the optical and UV.The hot continuum emission seen in the optical and the ultraviolet wavelengths is produced by the accretion energy dissipated when the hot gas shocks at the stellar surface(Hartmann2000).We have included in Fig.4a the photographic magnitudes B and R from the SuperCOSMOS Sky Survey(magnitudes obtained from Scholz,R.-D.et al.2005).Though the errors for these magnitudes are large,including them rules out the model?t for10?10M⊙yr?1.On the other hand,model SEDs for˙M of10?11and10?12M⊙yr?1provide a good?t.Thus with the available observations,our model?ts are consistent with the lower value of accretion rate of~10?10.8M⊙yr?1reported by Scholz et al.However, the presence of C IV lines in emission in the UV spectrum(Gizis et al.2005),that are formed when hot gas of~105K falls along an accretion column onto the substellar surface,and the strong evidence of funneled rather than spherical accretion(Scholz et al.2005),indicates the presence of continuum excess emission in the optical and UV bands for2M1207,which needs to be con?rmed with future observations.

Fig.4b shows the separate contributions of the inner rim(wall)at the dust sublimation radius(discussed below),the disk truncated at this radius,the stellar photosphere and the scattered?ux,for a disk of mass10?5M⊙,inclination of63?and˙M of10?11M⊙yr?1.The disk models include the emission from the inner rim.In order to determine its separate contribution,we have calculated the inner rim?uxes using equations in Dullemond et al. (2001).As discussed above,contribution from the scattered light increases as the disk becomes more inclined,such that it can account for up to90%of the K-band?ux for an edge-on disk(Walker et al.2004).The inner rim is a major contributor to?uxes shortward of10μm,and dominates the excess seen above the photosphere at shorter wavelengths.The ?ux at10μm is a sum of emission from the disk and the inner rim.The outer regions of the disk contribute more?ux at longer wavelengths.The fractional disk luminosity for2M1207 is found to be0.03.This is higher than TWA7and13for which cool debris disks have been detected at70μm(Low et al.2005).Other prominent stellar members in TWA like TW Hya,Hen3-600and HD98800B have larger L IR/L?of the order of0.2due to their strong excesses at mid-and far-IR wavelengths.

The inner disk radius,R in,was set to1R sub,where R sub is the dust sublimation radius and varies with the stellar radius and temperature,R sub=R?(T sub/T?)?2.085(Whitney et al.2003).T sub is the dust sublimation temperature and was set to1600K.For2M1207, 1R sub~3R?.Fig.4c shows the variations in the model SEDs with increasing R in.We have obtained good?ts for R in between1and3R sub,with a peak at1R sub(based on a reduced χ2comparison).Increasing the inner radius to5or7R sub results in higher?uxes near the 10μm silicate band and at longer wavelengths.Inner holes of a few sub-stellar radii(~3to

7R?)are found to be common around brown dwarfs(e.g.Allers et al.2006;Mohanty et al. 2004).On the basis of a lack of a K-L′excess,Jayawardhana et al.(2003)suggested an inner hole in2M1207disk.However,we have obtained the best?t for R in=1R sub,which implies an absence of an inner disk hole since it would have to be larger than the dust sublimation radius.This suggests the presence of some K-L′excess.Since the disk is relatively?at,the K-L′excess will be small,similar to the observed K-[3.6]excess,even if the inner radius extends down to the dust sublimation radius.Jayawardhana et al.have used a conservative limit of K-L′ 0.2to de?ne this excess,which may be the reason for their observation to be purely photospheric.Other than TW Hya,Hen3-600,HD98800B and HR4796A,most of the TWA members do not show any excess at near-and mid-IR wavelengths,which indicates dissipation of dusty inner disks on a time scale of 10Myr(Low et al.2005;Jayawardhana et al.1999).The lack of inner disk dissipation for2M1207could be explained by a possible non-coevality in the TWA.There are results suggesting two distinct populations in TWA, as evidenced by a bimodal distribution in the rotation periods(Lawson&Crause2005)and the presence of warm(T 100K)dust(Low et al.2005;Weinberger et al.2004).Low et al.found negligible amounts of warm dust around20out of their24TWA targets,while the other four(mentioned above)display strong excess emission at24μhttps://www.doczj.com/doc/fe15727025.html,wson&Crause have found the median rotation period for the TWA1-13group led by TW Hya to be4.7d, while that for the stars in the TWA14-19group to be0.7d.These authors have suggested that the former group might be younger than the latter by~8Myr(8-10Myr versus~17 Myr).An upper period limit of25hr for2M1207(Scholz et al.2005)would then place it closer to the older(~17Myr)group.Recently,Barrado y Navascu′e s(2006)has estimated

Myr.Considering the large uncertainty in this estimate,if the age for2M1207to be15+15

?10

2M1207is indeed as young as~5Myr,this would explain the lack of inner disk evolution in this brown dwarf disk.On the other hand,if it is as old as~30Myr,then regeneration of small grains in the upper disk layers would be a plausible explanation for the lack of inner disk clearing,as discussed above.Given the assumption that all TWA members have similar ages,the wide variety in the SEDs is similar to what has been observed for T Tauri disks in other https://www.doczj.com/doc/fe15727025.html,da et al.(2006)found that the IR excess due to circumstellar disks around low-mass stars in the IC348cluster(2-3Myr)ranges from optically thick?ared disks to diskless photospheres.Hartmann et al.(2005)found a similar variety in the SEDs of CTTS in Taurus(0.1-2Myr).These vary from stars with highly?ared disks(e.g.,DR Tau),to transitional disks(e.g.,GM Aur)and stars with purely photospheric emission(e.g., IW Tau).The di?erences in the SEDs are attributed to the variations in the scale heights of the disks as well as the disk inclinations and disk masses,but could also be re?ecting intrinsic di?erences in the star systems themselves,such as di?erent initial conditions or other intrinsic properties like the activity level of the star,or planet formation,etc.

We have varied the outer disk radius between5and200AU.Since the disk mass was ?xed at10?5M⊙,smaller R out resulted in larger optical depth.However,the changes in the SEDs are more evident at far-IR/sub-mm wavelengths,and longer wavelength observations can correctly determine the outer disk radius.As discussed in the introduction,Bate et al.(2003)have predicted truncated disks of outer radii<10-20AU,if brown dwarfs form via the ejection scenario.Though we have obtained a good?t using R out=100AU,the degeneracies in our?ts do not allow us to rule out such a formation scenario for2M1207. We are able to get similar?ts by varying both disk mass and outer radius to give similar optical depths at the wavelengths being modeled.As discussed in Walker et al.(2004),it is di?cult to test such predictions with SEDs alone,and high resolution imaging is required to resolve the disk via their scattered and thermal emission.

3.Summary

Due to the large number of free parameters and the absence of longer wavelength ob-servations,there are degeneracies in the model?ts presented here.The uncertainties in the stellar parameters could also result in changes in the disk parameters.Nevertheless, our model?ts indicate that grain sizes of a max~0.25μm provide the best?t to the10μm silicate emission feature,based on a reducedχ2comparison with larger grain models. In comparison with other TWA members,this suggests lesser dust processing for2M1207, which could be explained by mechanisms such as aggregate fragmentation and/or turbulent mixing.We have obtained the best?t using an inner disk radius equal to the dust sublima-tion radius,indicating an absence of an inner disk hole.A?at disk of mass between10?4 and10?6M⊙,inclination between~60?and70?,and˙M of≤10?11M⊙yr?1provides a good ?t to2M1207disk.The disk mass estimate is a lower limit;longer wavelength observations can con?rm the presence of a population of much larger grains that dominate the disk mass but contribute little to the opacity at near-and mid-IR wavelengths.

We wish to thank the referee Barbara Whitney for many helpful comments and sug-gestions.Support for this work was provided by NASA Research Grant#NNG06GJ03G. Support for program9841was provided by NASA through a grant from STScI,which is operated by AURA Inc.,under NASA contract NAS5-26555.This work is based in part on observations made with the Spitzer Space Telescope,which is operated by the Jet Propulsion Laboratory,California Institute of Technology under a contract with NASA.Support for this work was provided by NASA through an award issued by JPL/Caltech.This work has made use of the SIMBAD database.

REFERENCES

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Table1.IRAC and MIPS Observations a

I b J H K 3.6μm 4.5μm 5.8μm8μm24μm 3.8μm c8.7μm d10.4μmJy mJy mJy mJy mJy mJy mJy mJy mJy mJy mJy mJy

a Riaz et al.(2006).

b I and JHK magnitudes from DENIS and2MASS,respectively.

c Jayawardhana et.al.(2003).

d Sterzik et.al.(2004).

Table 2.Stellar and disk parameters

Parameter Value

-1.5

-1-0.5

00.5

11.5

-1-0.500.51 1.52 2.53 3.54

log F 24 (mJy)

l o g (F 24/F 4.5)

Fig.1.—Amount of ?aring in 2M1207disk.Dashed line represents a geometrically thin,op-tically thick ?at disk with a spectral slope λF λ∝λ?4/3.Solid line represents the photosphere of a brown dwarf at T eff =2600K.See text for more details.

-14-13.5

-13

-12.5

-12-11.5

-11-10.5-0.5 0 0.5 1

1.5 2

2.5

l o g ν F ν (e r g s /s /c m 2)log λ μm 1.251.171.151.11.051.0-14-13.5

-13

-12.5

-12-11.5

-11

-10.5

-0.5 0 0.5 1

1.5 2

2.5 3

l o g ν F ν (e r g s /s /c m 2)log λ μ

m -15-14.5

-14

-13.5

-13

-12.5-12

-11.5

-11

-10.5

l o g ν F ν (e r g s /s /c m 2)log λ μm Fig.2.—Top :(a)Variations in the SEDs with ?aring power β.Middle :(b)Models for disk masses ranging between 10?2M ⊙(top SED)and 10?9M ⊙(bottom SED).Bottom :(c)SEDs for 10viewing angles between edge-on (bottom SED)and face-on (top SED).Models for 63?and 69?(marked in black)provide the best ?t for 2M1207.The thin black dotted line in all ?gures represents the photospheric ?ux.

-14-13.5

-13

-12.5

-12-11.5

-11

-10.5-0.5 0 0.5 1

1.5 2

2.5

l o g ν F ν (e r g s /s /c m 2)log λ μm a max = 1 mm

a = 1 μm a max = 0.25 μm

-12.2-12

-11.8

-11.6-11.4

-11.2 0.7 0.8 0.9

1 1.1 1.2

l o g ν F ν (e r g s /s /c m 2)log λ μm a max = 1 mm

a = 1 μm a max = 0.25 μm

Fig. 3.—SEDs for three di?erent grain models:Blue -a max =1mm,red -a =1μm,black -a max =0.25μm.Top :(a)Variations in the SEDs are evident near 10μm and at far-IR/sub-mm wavelengths.Bottom :(b)The 10μm Si emission feature.Grain size of a max =0.25μm provides the best ?t.

-14-13.5

-13

-12.5

-12-11.5

-11-10.5

-1-0.5 0 0.5

1 1.5

2 2.5

l o g ν F ν (e r g s /s /c m 2)log λ μm -9-10-11-12-14-13.5

-13

-12.5

-12-11.5

-11-10.5

-0.5 0 0.5 1

1.5 2

2.5

l o g ν F ν (e r g s /s /c m 2)log λ μm stellar scattered inner rim disk rim+disk total -14-13.5

-13

-12.5

-12-11.5

-11-10.5

-0.5 0 0.5 1

1.5 2

2.5

l o g ν F ν (e r g s /s /c m 2)log λ μm 1 Rsub 3 Rsub 5 Rsub 7 Rsub Fig. 4.—Top :(a)

Variations in the SEDs with disk mass accretion rates between 10?9and 10?12M ⊙yr ?1.

Middle :(b)Separate contributions of the inner rim (wall)at the dust sublimation radius,

the disk,the stellar photosphere and the scattered ?ux.Bottom :(c)Models for di?erent inner disk radii.R in =1R sub provides the best ?t for 2M1207.

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在弹出的菜单中,需要注意下列几项(建议将上图中红圈内所有的信息记录下来!) #RAID=:RAID级别 #Size=:容量 #Stripes=:相连接的物理阵列中的磁条(物理驱动器)数量 #Stripe Size=:条带大小 需要特别注意的是 #State=:逻辑驱动器状态。分别为OPTIMAL、DEGRADED、OFFLINE OPTIMAL是指逻辑驱动器状态正常,如果一个逻辑驱动器State=OPTIMAL,如上图,说明这个逻辑驱动器状态正常,不需要修复或者已经修复成功。 DEGRADED是指逻辑驱动器处于降级状态,这个时候驱动器还可以被正常访问,但是由于有一个硬盘掉线,所以没有安全冗余。通常在DEGRADED状态下需要做REBUILD修复。 OFFLINE是指逻辑驱动器中有两个或两个以上的硬盘掉线,逻辑驱动器处于不可被访问的状态。这个情况后续专门会有文档介绍。 3、确认了机器配置的是RAID5(RAID1操作步骤相同)并且State状态是DEGRADED,说明逻辑驱动器需要修复。按ESC键退回至Management Menu菜单,选择Objects-Physical Driver,回车后会有一段时间等待扫描,如下图

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每当人们不尊重我们时,我们总被深深激怒。然而在内心深处,没有一个人十分尊重自己。———马克·吐温 忍辱偷生的人,绝不会受人尊重。———高乃依 敬人者,人恒敬之。———《孟子》 人必自敬,然后人敬之;人必自侮,然后人侮之。———扬雄 不知自爱反是自害。———郑善夫 仁者必敬人。———《荀子》 君子贵人而贱己,先人而后己。———《礼记》 尊严是人类灵魂中不可糟蹋的东西。———古斯曼 对一个人的尊重要达到他所希望的程度,那是困难的。———沃夫格纳 经典素材 1元和200元 (尊重劳动成果) 香港大富豪李嘉诚在下车时不慎将一元钱掉入车下,随即屈身去拾,旁边一服务生看到了,上前帮他拾起了一元钱。李嘉诚收起一元钱后,给了服务生200元酬金。 这里面其实包含了钱以外的价值观念。李嘉诚虽然巨富,但生活俭朴,从不挥霍浪费。他深知亿万资产,都是一元一元挣来的。钱币在他眼中已抽象为一种劳动,而劳动已成为他最重要的生存方式,他的所有财富,都是靠每天20小时以上的劳动堆积起来的。200元酬金,实际上是对劳动的尊重和报答,是不能用金钱衡量的。 富兰克林借书解怨 (尊重别人赢得朋友)

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开机老出现硬盘修复解决方法

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③在运行中输入msconfig 在启动项中把碎片整理程序前面的小勾去掉. 【注】系统关闭开机磁盘扫描chkntfs与chkdsk Microsoft 已经开发了 Chkntfs.exe 实用工具,该实用工具可以在 Microsoft Windows NT 4.0 Service Pack 2 及更新版本的 Windows 中找到。该实用工具被设计为:当 Windows 在非正常关机后重新启动时,禁止在特定卷上自动运行 chkdsk。如果使用 chkdsk /f 安排了在下一次系统重新启动时在活动卷上运行 chkdsk,则也可以使用 chkntfs 来取消安排 chkdsk。 chkntfs drive: [...] chkntfs /d chkntfs /x drive: [...] chkntfs /c drive: [...]

drive:指定驱动器号。 /D 将计算机还原为默认状态,启动时检查所有驱动器并对有问题的驱动器执行chkdsk 命令。这将取消 /X 选项的效果。 /X 排除默认启动时检查的驱动器。上次执行此命令排除的驱动器此时无效。 /C 如果已经设置了非正常位,则安排在下一次重新启动时运行 chkdsk。 示例: chkntfs /x c: 此命令禁止 chkdsk 在驱动器 C: 上运行 chkntfs /x d:e:此命令禁止 chkdsk 在驱动器 D: 和 E: 上运行 chkntfs /x 命令不是累积性的,该命令会覆盖以前建立的任何驱动器排除项。在上面的示例中,chkntfs 命令只禁止 chkdsk 在驱动器 D 和 E 上进行检查,不检查驱动器 C 是否存在非正常位。

翻译中的归化与异化

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电脑不认硬盘的解决方法

电脑不认硬盘的处理办法 故障现象一:开机后屏幕显示:"Device error",然后又显示:"Non-System disk or disk er ror,Replace and strike any key when ready",说明硬盘不能启动。用软盘启动后,在A:>后键人C:,屏幕显示:"Invalid drive specification",系统不认硬盘。 故障分析及处理:造成该故障的原因一般是CMOS中的硬盘设置参数丢失或硬盘类型设置错误造成的。进入CMOS,检查硬盘设置参数是否丢失或硬盘类型设置是否错误。如果确是该种故障,只需将硬盘设置参数恢复或修改过来即可。如果不会修改硬盘参数,也可用备份过的CMOS信息进行恢复,如果你没有备份CMOS信息,也别急,有些高档微机的CM OS设置中有"HDD AUTO DETECTION"(硬盘自动检测)选项,可自动检测出硬盘类型参数。若无此项,只好打开机箱,查看硬盘表面标签上的硬盘参数,照此修改即可。 故障现象二:开机后,"WAIT"提示停留很长时间,最后出现"HDD controller Failure"。 故障分析及处理:造成该故障的原因一般是硬盘线接口接触不良或接线错误。先检查硬盘电源线与硬盘的连接,再检查硬盘数据信号线与多功能卡或硬盘的连接,如果连接松动或连线接反都会有上述提示,最好是能找一台型号相同且使用正常的微机,可以对比线缆的连接。 故障现象三:开机后,屏幕上显示:"Invalid partition table",硬盘不能启动。 故障分析及处理:造成该故障的原因一般是硬盘主引导记录中的分区表有错误,当指定了多个自举分区(只能有一个自举分区)或病毒(一种具有隐蔽性破坏性传染性的恶意代码)占用了分区表时,将有上述提示。主引导记录(MBR)位于0磁头/0柱面/1扇区,由FDISK.EXE 对硬盘分区时生成。MBR包括主引导程序、分区表和结束标?quot;55AAH"三分,共占一个扇区。主引导程序中含有检查硬盘分区表的程序代码和出错信息、出错处理等内容。当硬盘启动时,主引导程序将检查分区表中的自举标志。若某个分区为可自举分区,则有分区标志8OH,否则为00H,系统规定只能有一个分区为自举分区,若分区表中含有多个自举标志时,主引导程序会给出"Invalid partion table"的错误提示。最简单的解决方法是用NDD修复,它将检查分区表中的错误。若发现错误,将会询问你是否愿意修改,你只要不断地回答YE S即可修正错误,或者用备份过的分区表覆盖它也行(KV300,NU8.O中的RESCUE都具有备份与恢复分区表的功能)。如果是病毒(一种具有隐蔽性破坏性传染性的恶意代码)感染了分区表,格式化是解决不了问题的,可先用杀毒软件(反病毒软件或防毒软件是用于消除电脑病毒特洛伊木马和恶意软件的一类软件)杀毒,再用NDD进行修复。如果上述方法都不能解决,还有一招。就是先用FDISK重新分区,但分区大小必须和原来的分区一样,这一点尤为重要,分区后不要进行高级格式化,然后用NDD进行修复。修复后的硬盘不但能启动,而且硬盘上的信息也不会丢失。其实用FDISK分区,相当于用正确的分区表覆盖原来的分区表。尤其当用软盘启动后不认硬盘时,这一招特灵。 故障现象四:开机后自检完毕,从硬盘启动时死机或者屏幕上显示:"No ROM Basic,Sys tem Halted"。

尊重议论文

谈如何尊重人尊重他人,我们赢得友谊;尊重他人,我们收获真诚;尊重他人,我们自己也 获得尊重;相互尊重,我们的社会才会更加和谐. ——题记 尊重是对他人的肯定,是对对方的友好与宽容。它是友谊的润滑剂,它是和谐的调节器, 它是我们须臾不可脱离的清新空气。“主席敬酒,岂敢岂敢?”“尊老敬贤,应该应该!”共和 国领袖对自己老师虚怀若谷,这是尊重;面对许光平女士,共和国总理大方的叫了一 声“婶婶”,这种和蔼可亲也是尊重。 尊重不仅会让人心情愉悦呼吸平顺,还可以改变陌生或尖锐的关系,廉颇和蔺相如便是 如此。将相和故事千古流芳:廉颇对蔺相如不满,处处使难,但蔺相如心怀大局,对廉颇相 当的尊重,最后也赢得了廉颇的真诚心,两人结为好友,共辅赵王,令强秦拿赵国一点办法 也没有。蔺相如与廉颇的互相尊重,令得将相和的故事千百年令无数后人膜拜。 现在,给大家举几个例子。在美国,一个颇有名望的富商在散步 时,遇到一个瘦弱的摆地摊卖旧书的年轻人,他缩着身子在寒风中啃着发霉的面包。富 商怜悯地将8美元塞到年轻人手中,头也不回地走了。没走多远,富商忽又返回,从地摊上 捡了两本旧书,并说:“对不起,我忘了取书。其实,您和我一样也是商人!”两年后,富商 应邀参加一个慈善募捐会时,一位年轻书商紧握着他的手,感激地说:“我一直以为我这一生 只有摆摊乞讨的命运,直到你亲口对我说,我和你一样都是商人,这才使我树立了自尊和自 信,从而创造了今天的业绩??”不难想像,没有那一 句尊重鼓励的话,这位富商当初即使给年轻人再多钱,年轻人也断不会出现人生的巨变, 这就是尊重的力量啊 可见尊重的量是多吗大。大家是不是觉得一个故事不精彩,不够明确尊重的力量,那再 来看下一个故事吧! 一家国际知名的大企业,在中国进行招聘,招聘的职位是该公司在中国的首席代表。经 过了异常激烈的竞争后,有五名年轻人,从几千名应聘者中脱颖而出。最后的胜出者,将是 这五个人中的一位。最后的考试是一场面试,考官们都 作文话题素材之为人处世篇:尊重 思路 人与人之间只有互相尊重才能友好相处 要让别人尊重自己,首先自己得尊重自己 尊重能减少人与人之间的摩擦 尊重需要理解和宽容 尊重也应坚持原则 尊重能促进社会成员之间的沟通 尊重别人的劳动成果 尊重能巩固友谊 尊重会使合作更愉快 和谐的社会需要彼此间的尊重 名言 施与人,但不要使对方有受施的感觉。帮助人,但给予对方最高的尊重。这是助人的艺 术,也是仁爱的情操。———刘墉 卑己而尊人是不好的,尊己而卑人也是不好的。———徐特立 知道他自己尊严的人,他就完全不能尊重别人的尊严。———席勒 真正伟大的人是不压制人也不受人压制的。———纪伯伦 草木是靠着上天的雨露滋长的,但是它们也敢仰望穹苍。———莎士比亚

翻译的归化与异化

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