Initial state dependence of nonlinear kinetic equations: The classical electron gas

M. C. Marchetti, E. G.D. Cohen, J. R. Dorfman, T. R. Kirkpatrick

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The method of nonequilibrium cluster expansion is used to stydy the decay to equilibrium of a weakly coupled inhomogeneous electron gas prepared in a local equilibrium state at the initial time, t=0. A nonlinear kinetic equation describing the long time behavior of the one-particle distribution function is obtained. For consistency, initial correlations have to be taken into account. The resulting kinetic equation-differs from that obtained when the initial state of the system is assumed to be factorized in a product of one-particle functions. The question of to what extent correlations in the initial state play an essential role in determining the form of the kinetic equation at long times is discussed. To that end, the present calculations are compared with results obtained before for hard sphere gases and in general gases with strong short-range forces. A partial answer is proposed and some open questions are indicated.

Original languageEnglish (US)
Pages (from-to)75-93
Number of pages19
JournalJournal of Statistical Physics
Volume41
Issue number1-2
DOIs
StatePublished - Oct 1 1985

Keywords

  • Kinetic equation
  • electron gas
  • initial correlations
  • non-equilibrium cluster expansion

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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    Marchetti, M. C., Cohen, E. G. D., Dorfman, J. R., & Kirkpatrick, T. R. (1985). Initial state dependence of nonlinear kinetic equations: The classical electron gas. Journal of Statistical Physics, 41(1-2), 75-93. https://doi.org/10.1007/BF01020604