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Journal of the Physical Society of Japan
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Preprint . 2002
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Test of Information Theory on the Boltzmann Equation

Test of information theory on the Boltzmann equation
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 15 Oct 2003Embargo end date: 01 Jan 2002 Japan English Publisher:Physical Society of JapanJournal:Journal of the Physical Society of Japan, volume 72, pages 2,473-2,476 (issn: 0031-9015, eissn: 1347-4073, Copyright policy )
Authors: Kim, Hyeon-Deuk; Hayakawa, Hisao;

doi: 10.1143/jpsj.72.2473 , 10.48550/arxiv.cond-mat/0203036

arXiv: cond-mat/0203036

handle: 2433/49787

Test of Information Theory on the Boltzmann Equation

Abstract

We examine information theory using the steady-state Boltzmann equation. In a nonequilibrium steady-state system under steady heat conduction, the thermodynamic quantities from information theory are calculated and compared with those from the steady-state Boltzmann equation. We have found that information theory is inconsistent with the steady-state Boltzmann equation.

12 pages

Country
Japan
Related Organizations
Keywords

nonequilibrium steady state, nonequilibrium entropy, Statistical Mechanics (cond-mat.stat-mech), Kinetic theory of gases in time-dependent statistical mechanics, FOS: Physical sciences, heat conduction, nonequilibrium steady state, Boltzmann equation, Classical dynamic and nonequilibrium statistical mechanics (general), nonequilibrium entropy, Condensed Matter - Statistical Mechanics, information theory, nonequilibrium statistical mechanics

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 8
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Top 10%
Green
bronze