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A Maxwellian Path to the q-Nonextensive Velocity Distribution Function

A Maxwellian Path to the q -Nonextensive Velocity Distribution 2

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a 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 GeofisicasUniversidad Nacional de La Plata, C.C. 727, 1900La Plata, Argentina (February1, 2
008) Abstract Maxwell’sfirstderivation 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.+mTypeset using REVT E X

a 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 GeofisicasUniversidad Nacional de La Plata, C.C. 727, 1900La Plata, Argentina (February1, 2008) Abstract Maxwell’sfirstderivation 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.+mTypeset using REVT E X

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