Gibbs Paradox as Property of Observation, Proof of II. Principle of Thermodynamics

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Gibbs Paradox as Property of Observation, Proof of II. Principle of Thermodynamics

Popis výsledku v původním jazyce

Our article solves the long lasting problem of a proof of II.Principle of Thermodynamics. We state, also long discussed, relation between term information entropy, introduced by C. Shannon (1948), and thermodynamic entropy, introduced by R. Clausius (1850). Our way to an explaining Gibbs paradox and to a proof of II.P.T. is based on bound information [1], and, is identical to introducing of Boltzman function of statistical physics. Its negative value, determined by detailness of our description of an observed system, is prooved to be a value of Clausius entropy (on a certain substitute equivalent equilibrial thermodynamic way). We show that physical realization of such observation is equivalent with a scheme of a relevant (reversible) heat cycle. Its properties are expressible in terms of Gibbs paradox. We introduce bound information entropies on a system of stochastic quantities, realized in a physical way; their values and expectation values are (changes of) energies; these, reduced

Název v anglickém jazyce

Gibbs Paradox as Property of Observation, Proof of II. Principle of Thermodynamics

Popis výsledku anglicky

Our article solves the long lasting problem of a proof of II.Principle of Thermodynamics. We state, also long discussed, relation between term information entropy, introduced by C. Shannon (1948), and thermodynamic entropy, introduced by R. Clausius (1850). Our way to an explaining Gibbs paradox and to a proof of II.P.T. is based on bound information [1], and, is identical to introducing of Boltzman function of statistical physics. Its negative value, determined by detailness of our description of an observed system, is prooved to be a value of Clausius entropy (on a certain substitute equivalent equilibrial thermodynamic way). We show that physical realization of such observation is equivalent with a scheme of a relevant (reversible) heat cycle. Its properties are expressible in terms of Gibbs paradox. We introduce bound information entropies on a system of stochastic quantities, realized in a physical way; their values and expectation values are (changes of) energies; these, reduced

Druh

D - Stať ve sborníku

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

AIP Conference Proceedings

ISBN

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ISSN

0094-243X

e-ISSN

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Počet stran výsledku

10

Strana od-do

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Název nakladatele

American Institute of Physics

Místo vydání

Melville

Místo konání akce

Liege, Belgium

Datum konání akce

1. 1. 2010

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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