Intensive thermodynamic parameters in nonequilibrium systems - ENS de Lyon - École normale supérieure de Lyon Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2007

Intensive thermodynamic parameters in nonequilibrium systems

Eric Bertin
  • Function : Author
  • PersonId : 741069
  • IdHAL : eric-bertin
Kirsten Martens
  • Function : Author
  • PersonId : 173073
  • IdHAL : kmartens
Michel Droz
  • Function : Author
  • PersonId : 846970

Abstract

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the conserved quantities. This definition does not require any detailed balance relation to be fulfilled. Rather, the system has to satisfy a general additivity property, which holds in most of the models usually considered in the literature, including those described by a matrix product ansatz with finite matrices. The main property of these ITPs is to take equal values in two subsystems, making them a powerful tool to describe nonequilibrium phase coexistence, as illustrated on different models. We finally discuss the issue of the equalization of ITPs when two different systems are put into contact. This issue is closely related to the possibility of measuring the ITPs using a small auxiliary system, in the same way as temperature is measured with a thermometer, and points at one of the major difficulties of nonequilibrium statistical mechanics. In addition, an efficient alternative determination, based on the measure of fluctuations, is also proposed and illustrated.
Fichier principal
Vignette du fichier
ITP_proof.pdf (406.24 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ensl-00256887 , version 1 (18-02-2008)

Identifiers

Cite

Eric Bertin, Kirsten Martens, Olivier Dauchot, Michel Droz. Intensive thermodynamic parameters in nonequilibrium systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2007, 75, pp.031120. ⟨10.1101/PhysRevE.75.031120⟩. ⟨ensl-00256887⟩
104 View
147 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More