×

zbMATH — the first resource for mathematics

Boyle temperature as a point of ideal gas in Gentile statistics and its economic interpretation. (English) Zbl 1311.82020
Summary: Boyle temperature is interpreted as the temperature at which the formation of dimers becomes impossible. To Irving Fisher’s correspondence principle we assign two more quantities: the number of degrees of freedom, and credit. We determine the danger level of the mass of money \(M\) when the mutual trust between economic agents begins to fall.

MSC:
82B30 Statistical thermodynamics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Dai, W-S; Xie, M, Gentile statistics with a large maximum occupation number, Annals of Physics, 309, 295-305, (2004) · Zbl 1037.81104
[2] L. D. Landauand and E. M. Lifshits, Statistical Physics (Nauka, Moscow, 1964).
[3] V. P. Maslov, Zeno line, Binodal, T + −ρ Diagram and Clusters as a new Bose-Condensate Bases on New Global Distributions in Number Theory (arXiv:1007.4182v3[math-ph], 28 Dec 2010).
[4] Maslov, V P, New parastatistics leading to classical thermodynamics: physical interpretation, Math. Notes, 96, 50-67, (2014) · Zbl 1316.82012
[5] Maslov, V P; Maslova, T V, Unbounded probability theory and its applications, Theory Probab. Appl., 57, 1-22, (2013) · Zbl 1314.62115
[6] Maslov, V P, Fischer correspondence principle of equilibrium thermodynamics and economics. debt crisis, Math. Notes, 90, 291-294, (2011) · Zbl 1233.91210
[7] M. Friedman, Studies in the Quantity Theory of Money (University of Chicago Press, Chicago, 1956; Delo, Moscow, 1966).
[8] Maslov, V P, Undistinguishing statistics of objectively distinguishable objects: thermodynamics and superfluidity of classical gas, Math. Notes, 94, 722-813, (2013) · Zbl 1290.82032
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.