Entropy balance in the presence of drift and diffusion currents

An elementary chaotic map approach

Jürgen Vollmer, T. Tél, Wolfgang Breymann

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phasespace density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u2/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient.

Original languageEnglish
Pages (from-to)1672-1684
Number of pages13
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number2 SUPPL. A
Publication statusPublished - 1998

Fingerprint

Chaotic Map
Entropy Production
Entropy
entropy
Phase Space
Non-equilibrium Thermodynamics
Coarse-graining
Transport Processes
Chaotic Dynamics
Streaming
System Modeling
Diffusion Coefficient
nonequilibrium thermodynamics
External Field
refining
Dynamical system
ingredients
dynamical systems
Gradient
Boundary conditions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Entropy balance in the presence of drift and diffusion currents : An elementary chaotic map approach. / Vollmer, Jürgen; Tél, T.; Breymann, Wolfgang.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, No. 2 SUPPL. A, 1998, p. 1672-1684.

Research output: Contribution to journalArticle

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