V. P. Maslov, “On the Semiclassical Transition in the Quantum Gibbs Distribution”, Matematicheskie Zametki, 2015, Volume 97, Issue 4, Mi mzm

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Matematicheskie Zametki, 2015, Volume 97, Issue 4, paper published in the English version journal (Mi mzm10921)

This article is cited in 3 scientific papers (total in 3 papers)

Papers published in the English version of the journal

On the Semiclassical Transition in the Quantum Gibbs Distribution

V. P. Maslov^ab

^a National Research University Higher School of Economics, Moscow, Russia
^b Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

Citations (3)

Abstract: An example of a Gibbs ensemble for a system of

N

$N$ Brownian particles is given, and the relation with Kolmogorov complexity is considered. The irreversibility of the process is analyzed and shown to be a consequence of the loss of numbering of the particles. The dependence of the measure in the semiclassical Gibbs distribution on temperature is studied in examples.

Keywords: Gibbs ensemble, Kolmogorov complexity, Brownian particle, quasistatic process, reversibility, number of degrees of freedom, negative dimension.

Received: 21.01.2015

English version:
Mathematical Notes, 2015, Volume 97, Issue 4, Pages 565–574
DOI: https://doi.org/10.1134/S000143461503027X

Bibliographic databases:

Document Type: Article

Language: English

Linking options:

https://www.mathnet.ru/eng/mzm10921

This publication is cited in the following 3 articles:

Maslov V.P., “Locally Ideal Liquid”, Russ. J. Math. Phys., 22:3 (2015), 361–373
Maslov V.P., “Van der Waals Equation From the Viewpoint of Probability Distribution and the Triple Point as the Critical Point of the Liquid-To-Solid Transition”, Russ. J. Math. Phys., 22:2 (2015), 188–200
V. P. Maslov, “Probability Distribution for a Hard Liquid”, Math. Notes, 97:6 (2015), 909–918

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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