Self-interaction of Brownian particles coupled with thermodynamic processes

被引：30

作者：

Biler, P

Krzywicki, A

Nadzieja, T

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[2] Tech Univ, Inst Math, PL-65246 Zielona Gora, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 1998年 / 42卷 / 03期

基金：

美国国家科学基金会;

关键词：

nonequilibrium thermodynamics; interaction of particles; nonlinear parabolic-elliptic systems;

D O I：

10.1016/S0034-4877(99)80005-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose some nonlinear parabolic-elliptic systems modelling the evolution of the density of particles (charged or massive) interacting with themselves, and coupled to a temperature field. These models are thermodynamically consistent, i.e., they obey the first and the second laws of thermodynamics. We study their steady states and the asymptotic behaviour for large time.

引用

页码：359 / 372

页数：14

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