Thermodynamics of the system of distinguishable particles

Research output: Contribution to journalReview article

13 Citations (Scopus)

Abstract

The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the entropy is not extensive. The inextensivity leads to the so-called Gibbs paradox in which the mixing entropy of two identical classical gases increases. Lots of literature from different points of view were created to resolve the paradox. In this paper, starting from the Boltzmann entropy, we present the thermodynamics of the system of distinguishable particles. A straightforward way to get the corrected Boltzmann counting is shown. The corrected Boltzmann counting factor can be justified in classical statistical mechanics.

Original languageEnglish
Pages (from-to)326-333
Number of pages8
JournalEntropy
Volume11
Issue number3
DOIs
Publication statusPublished - 2009 Sep

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entropy
thermodynamics
paradoxes
statistical mechanics
counting
gases

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the entropy is not extensive. The inextensivity leads to the so-called Gibbs paradox in which the mixing entropy of two identical classical gases increases. Lots of literature from different points of view were created to resolve the paradox. In this paper, starting from the Boltzmann entropy, we present the thermodynamics of the system of distinguishable particles. A straightforward way to get the corrected Boltzmann counting is shown. The corrected Boltzmann counting factor can be justified in classical statistical mechanics.",
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Thermodynamics of the system of distinguishable particles. / Cheng, Chi Ho.

In: Entropy, Vol. 11, No. 3, 09.2009, p. 326-333.

Research output: Contribution to journalReview article

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