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A Maxwellian Path to the q-Nonextensive Velocity Distribution Function

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A Maxwellian Path to the q -Nonextensive Velocity Distribution Function R.Silva 1∗A.R.Plastino 2†and J.A.S.Lima 1‡1Universidade Federal do Rio Grande do Norte,Departamento de F´ısica,Caixa Postal 1641,59072-970Natal,RN,Brazil 2Facultad de Ciencias Astronomicas y Geofisicas Universidad Nacional de La Plata,C.C.727,1900La Plata,Argentina (February 1
,2008)Abstract Maxwell’s first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q -statistics proposed by Tsallis.As an application,the q -Doppler broadening of spectral lines due to the random thermal motion of the radiating atoms is derived.05.45.+b;05.20.-y;05.90.+m Typeset using REVT E X

A Maxwellian Path to the q -Nonextensive Velocity Distribution Function R.Silva 1∗A.R.Plastino 2†and J.A.S.Lima 1‡1Universidade Federal do Rio Grande do Norte,Departamento de F´ısica,Caixa Postal 1641,59072-970Natal,RN,Brazil 2Facultad de Ciencias Astronomicas y Geofisicas Universidad Nacional de La Plata,C.C.727,1900La Plata,Argentina (February 1,2008)Abstract Maxwell’s first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q -statistics proposed by Tsallis.As an application,the q -Doppler broadening of spectral lines due to the random thermal motion of the radiating atoms is derived.05.45.+b;05.20.-y;05.90.+m Typeset using REVT E X

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