V. P. Maslov, “Critical indices as a consequence of Wiener quantization of thermodynamics”, TMF, 170:3 (2012), 457–467; Theoret. and Math. Phys., 170:3 (2012), 384

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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 457–467
DOI: https://doi.org/10.4213/tmf6778 (Mi tmf6778)

This article is cited in 14 scientific papers (total in 14 papers)

Critical indices as a consequence of Wiener quantization of thermodynamics

V. P. Maslov

Lomonosov Moscow State University, Moscow, Russia

Full-text PDF (529 kB) Citations (14)

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DOI: https://doi.org/10.4213/tmf6778

Abstract: We construct a family of perfect gases depending on the critical value of the compressibility factor

$Z$ for pure gases. We show that the critical indices of actual simple liquids, like many other thermodynamic effects, easily and naturally follow from the concept of Wiener quantization of modern thermodynamics.

Keywords: tunnel canonical operator, critical index, quantization of thermodynamics.

Received: 30.10.2011

English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 384–393
DOI: https://doi.org/10.1007/s11232-012-0037-2

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. P. Maslov, “Critical indices as a consequence of Wiener quantization of thermodynamics”, TMF, 170:3 (2012), 457–467; Theoret. and Math. Phys., 170:3 (2012), 384–393

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Linking options:

https://www.mathnet.ru/eng/tmf6778

https://doi.org/10.4213/tmf6778

https://www.mathnet.ru/eng/tmf/v170/i3/p457

This publication is cited in the following 14 articles:

V. P. Maslov, “Jump in the Number of Collective Degrees of Freedom as a Phase Transition of the First Kind”, Math. Notes, 97:2 (2015), 230–242
B. I. Suleimanov, ““Quantizations” of Higher Hamiltonian Analogues of the Painlevé I and Painlevé II Equations with Two Degrees of Freedom”, Funct. Anal. Appl., 48:3 (2014), 198–207
V. P. Maslov, “Effect of a measuring instrument in the “Bose condensate” of a classical gas in a phase transition and in experiments with negative pressure”, Theoret. and Math. Phys., 175:1 (2013), 526–558
Maslov V.P., “The Role of Macroinstrument and Microinstrument and of Observable Quantities in the New Conception of Thermodynamics”, Russ. J. Math. Phys., 20:1 (2013), 68–101
Maslov V.P., Maslova T.V., “Parastatistics and Phase Transition From a Cluster as a Fluctuation to a Cluster as a Distinguishable Object”, Russ. J. Math. Phys., 20:4 (2013), 468–475
V. P. Maslov, “Undistinguishing statistics of objectively distinguishable objects: Thermodynamics and superfluidity of classical gas”, Math Notes, 94:5-6 (2013), 722
V. P. Maslov, “The mathematical theory of classical thermodynamics”, Math Notes, 93:1-2 (2013), 102
V. P. Maslov, “Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases”, Theoret. and Math. Phys., 172:3 (2012), 1289–1299
V. P. Maslov, T. V. Maslova, “Unbounded probability theory and its applications”, Theory Probab. Appl., 57:3 (2013), 444–467
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., “Ideal gas/liquid transition as a generalization of the problem of “partitio numerorum””, Russ. J. Math. Phys., 19:4 (2012), 484–498
Maslov V.P., Maslova T.V., “Probability theory for random variables with unboundedly growing values and its applications”, Russ. J. Math. Phys., 19:3 (2012), 324–339
V. P. Maslov, T. V. Maslova, “Wiener quantization of economics as an analog of the quantization of thermodynamics”, Math Notes, 91:1-2 (2012), 81
V. P. Maslov, “On the mathematical justification of experimental and computer physics”, Math Notes, 92:3-4 (2012), 577

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

Statistics & downloads:
Abstract page:	894
Full-text PDF :	273
References:	141
First page:	75

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