Modeling thermostating, entropy currents, and cross effects by dynamical systems

Jürgen Vollmer, Tamás Tél, László Mátyás

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A generalized multibaker map with periodic boundary conditions is shown to model boundary-driven transport, when the driving is applied by a "perturbation" of the dynamics localized in a macroscopically small region. In this case there are sustained density gradients in the steady state. A non-uniform stationary temperature profile can be maintained by incorporating a heat source into the dynamics, which deviates from the one of a bulk system only in a (macroscopically small) localized region such that a heat (or entropy) flux can enter an attached thermostat only in that region. For these settings the relation between the average phase-space contraction, the entropy flux to the thermostat and irreversible entropy production is clarified for stationary and non-stationary states. In addition, thermoelectric cross effects are described by a multibaker chain consisting of two parts with different transport properties, modeling a junction between two metals.

Original languageEnglish
Pages (from-to)79-105
Number of pages27
JournalJournal of Statistical Physics
Volume101
Issue number1-2
Publication statusPublished - Oct 1 2000

Keywords

  • Deterministic chaos
  • Entropy balance
  • Multibaker maps
  • Spatial extension
  • Thermoelectric cross effects
  • Thermostating

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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