Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-07-13
Physical Review E 76, 021201 (2007)
Physics
Condensed Matter
Statistical Mechanics
To appear in PRE
Scientific paper
10.1103/PhysRevE.76.021201
A covariant Fokker-Planck type equation for a simple gas and an equation for the Brownian motion are derived from a relativistic kinetic theory based on the Boltzmann equation. For the simple gas the dynamic friction four-vector and the diffusion tensor are identified and written in terms of integrals which take into account the collision processes. In the case of Brownian motion, the Brownian particles are considered as non-relativistic whereas the background gas behaves as a relativistic gas. A general expression for the semi-relativistic viscous friction coefficient is obtained and the particular case of constant differential cross-section is analyzed for which the non-relativistic and ultra relativistic limiting cases are calculated.
Chacón--Acosta Guillermo
Kremer Gilberto M.
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