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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 261–277
DOI: https://doi.org/10.4213/tmf329 (Mi tmf329) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Quantization of Boltzmann Entropy: Pairs and Correlation Function

V. P. Maslov

M. V. Lomonosov Moscow State University
Full-text PDF (241 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf329
Abstract: We consider the Gibbs statistical ensemble. We introduce the statistical-weight operator ˆΓ, construct the entropy operator ˆS of the ensemble using the Boltzmann formula ˆS=lnˆΓ and define the free-energy operator. We find asymptotic expressions for free-energy eigenvalues with pair correlations taken into account in the limit as the number of systems in the ensemble tends to infinity.
Received: 02.02.2002
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 666–680
DOI: https://doi.org/10.1023/A:1015476815804
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Quantization of Boltzmann Entropy: Pairs and Correlation Function”, TMF, 131:2 (2002), 261–277; Theoret. and Math. Phys., 131:2 (2002), 666–680
Citation in format AMSBIB
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\paper Quantization of Boltzmann Entropy: Pairs and Correlation Function
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\pages 261--277
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\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 2
\pages 666--680
\crossref{https://doi.org/10.1023/A:1015476815804}
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  • https://www.mathnet.ru/eng/tmf329
  • https://doi.org/10.4213/tmf329
  • https://www.mathnet.ru/eng/tmf/v131/i2/p261
    • This publication is cited in the following 8 articles:
    1. Uwe Hohm, Christoph Schiller, “Testing the Minimum System Entropy and the Quantum of Entropy”, Entropy, 25:11 (2023), 1511  crossref
    2. V. P. Maslov, “Undistinguishing statistics of objectively distinguishable objects: Thermodynamics and superfluidity of classical gas”, Math Notes, 94:5-6 (2013), 722  crossref
    3. V. P. Maslov, “On the Dispersion Law of the Form $\varepsilon(p)=\hbar^2p^2/2m+\widetilde V(p)-\widetilde V(0)$ for Elementary Excitations of a Nonideal Fermi Gas in the Pair Interaction Approximation $(i\leftrightarrow j)$, $V(|x_i-x_j|)$”, Math. Notes, 82:5 (2007), 619–634  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. V. P. Maslov, “Superfluidity of classical liquid in a nanotube for even and odd numbers of neutrons in a molecule”, Theoret. and Math. Phys., 153:3 (2007), 1677–1696  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. Maslov VP, “On the superfluidity of classical liquid in nanotubes, I. Case of even number of neutrons”, Russian Journal of Mathematical Physics, 14:3 (2007), 304–318  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    6. Koval', GV, “A modification of Maslov's two-level model”, Russian Journal of Mathematical Physics, 10:2 (2003), 149  mathscinet  zmath  isi
    7. V. P. Maslov, “Econophysics and Quantum Statistics”, Math. Notes, 72:6 (2002), 811–818  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, Theoret. and Math. Phys., 132:3 (2002), 1222–1232  mathnet  crossref  crossref  mathscinet  zmath  isi
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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