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  Escape-rate formalism, decay to steady states, and divergences in the entropy-production rate

Vollmer, J., Matyas, L., & Tel, T. (2002). Escape-rate formalism, decay to steady states, and divergences in the entropy-production rate. Journal of Statistical Physics, 109(3-4), 875-893. doi:10.1023/A:1020483103158.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-64B8-A Version Permalink: http://hdl.handle.net/21.11116/0000-0002-7668-5
Genre: Journal Article

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 Creators:
Vollmer, J.1, Author              
Matyas, L., Author
Tel, T., Author
Affiliations:
1MPI for Polymer Research, Max Planck Society, ou_1309545              

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Free keywords: entropy production; deterministic chaos; absorbing boundary condition; escape-rate formalism; multibaker maps
 Abstract: According to thermodynamics the irreversible entropy production of diffusive relaxation processes diverges at the boundary to the vacuum, i.e., to a state of vanishing particle density. By means of a multibaker map we point out that this divergence is not present in the spatially discrete dynamics, which brings forth the evolution equations of irreversible thermodynamics in the continuum limit. In addition, we show that the irreversible entropy production of relaxation towards a nonempty steady state is proportional to the decay rate of the thermodynamic system subjected to absorbing boundary conditions. This generalizes results of the escape rate formalism.

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Language(s): eng - English
 Dates: 2002-11
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: No review
 Identifiers: eDoc: 28597
ISI: 000178324000028
DOI: 10.1023/A:1020483103158
 Degree: -

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Title: Journal of Statistical Physics
Source Genre: Journal
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Publ. Info: New York : Kluwer Academic Publishers [etc.]
Pages: - Volume / Issue: 109 (3-4) Sequence Number: - Start / End Page: 875 - 893 Identifier: ISSN: 0022-4715
CoNE: https://pure.mpg.de/cone/journals/resource/954925418023