V. P. Maslov, “Geometric “quantization” of thermodynamics and statistical corrections at critical points”, TMF, 101:3 (1994), 433–441; Theoret. and Math. Phys., 101:3 (1994), 1466

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 3, Pages 433–441 (Mi tmf1699)

This article is cited in 13 scientific papers (total in 13 papers)

Geometric “quantization” of thermodynamics and statistical corrections at critical points

V. P. Maslov

Moscow Institute of Electronic Engineering

Full-text PDF (1135 kB) Citations (13)

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Abstract: Gibbs thermodynamics is treated as a two-dimensional manifold, called Lagrangian by the author, in a 4-dimensional phase space in which the temperature and pressure play the role of coordinates and the entropy and volume the role of momenta. The tunneling canonical operator determines the asymptotic behavior of the partition function. This treatment is generalized to the case of thermodynamics with intensive and extensive coordinates. A new axiomatics of thermodynamics and quasithermodynamics is given.

Received: 03.08.1994

English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 3, Pages 1466–1472
DOI: https://doi.org/10.1007/BF01035468

Bibliographic databases:

Language: Russian

Citation: V. P. Maslov, “Geometric “quantization” of thermodynamics and statistical corrections at critical points”, TMF, 101:3 (1994), 433–441; Theoret. and Math. Phys., 101:3 (1994), 1466–1472

Citation in format AMSBIB

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\pages 433--441

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\jour Theoret. and Math. Phys.

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\pages 1466--1472

\crossref{https://doi.org/10.1007/BF01035468}

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Linking options:

https://www.mathnet.ru/eng/tmf1699

https://www.mathnet.ru/eng/tmf/v101/i3/p433

This publication is cited in the following 13 articles:

A. E. Ruuge, “An asymptotics of the Pauli problem in thermodynamics”, Dokl. Math., 87:3 (2013), 360
Artur Ruuge, “Fluctuations of Intensive Quantities in Statistical Thermodynamics”, Entropy, 15:12 (2013), 4889
Artur E. Ruuge, “A tropical analogue of the Pauli problem and a splitting of quasithermodynamics”, Dokl. Math., 88:1 (2013), 482
V. P. Maslov, “Critical indices as a consequence of Wiener quantization of thermodynamics”, Theoret. and Math. Phys., 170:3 (2012), 384–393
Maslov V.P., “New Probability Theory Compatible with the New Conception of Modern Thermodynamics. Economics and Crisis of Debts”, Russ. J. Math. Phys., 19:1 (2012), 63–100
Maslov V.P., “Mathematical Conception of “Phenomenological” Equilibrium Thermodynamics”, Russian Journal of Mathematical Physics, 18:4 (2011), 440–464
V. P. Maslov, “Nonlinear Averages in Economics”, Math. Notes, 78:3 (2005), 347–363
V. P. Maslov, “Zeroth-Order Phase Transitions”, Math. Notes, 76:5 (2004), 697–710
Maslov VP, “Quasistable economics and its relationship to the thermodynamics of superfluids. Default as a zero order phase transition”, Russian Journal of Mathematical Physics, 11:3 (2004), 308–334
Maslov VP, “Quasistable economics and its relationship to the thermodynamics of superfluids. Default as a zero order phase transition”, Russian Journal of Mathematical Physics, 11:4 (2004), 429–455
V. P. Maslov, “Nonlinearity of Averages in Financial Mathematics”, Math. Notes, 74:6 (2003), 893–896
V. P. Maslov, “Ultra-Second Quantization and “Ghosts” in Quantized Entropy”, Theoret. and Math. Phys., 129:3 (2001), 1694–1716
Phys. Usp., 43:12 (2000), 1169–1199

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

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Abstract page:	734
Full-text PDF :	254
References:	103
First page:	5

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