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Maslov distribution and formulas for the entropy

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Abstract

The Maslov distribution for a system of identical particles is used. The entropy and some other thermodynamical characteristics of this system are found for diverse fractal dimensions. A general formula for the entropy is established, which shows that the entropy is proportional to the derivative of the system energy with respect to the temperature. It is shown that a parastatistical parameter b, which is introduced formally, is related to the temperature of the system indeed. The nature of the phase transition in the system is studied in the two-dimensional case.

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Authors and Affiliations

  1. Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, IZMIRAN, Russian Academy of Sciences, 142092, Troitsk (Moscow Region), Russia

    I. A. Molotkov

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  1. I. A. Molotkov
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Correspondence to I. A. Molotkov.

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Molotkov, I.A. Maslov distribution and formulas for the entropy. Russ. J. Math. Phys. 17, 476–485 (2010). https://doi.org/10.1134/S1061920810040096

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  • DOI: https://doi.org/10.1134/S1061920810040096

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