Entropy balance in the presence of drift and diffusion currents: An elementary chaotic map approach

Jürgen Vollmer, Tamás Tél, Wolfgang Breymann

Research output: Contribution to journalArticle

34 Citations (Scopus)


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 phase-space 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 [Formula Presented] where [Formula Presented] is the streaming velocity (current per density) and [Formula Presented] 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
Issue number2
Publication statusPublished - Jan 1 1998


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this