On a new form of the Mayer expansion

Authors

  • A. L. Rebenko
  • V. A. Boluh

DOI:

https://doi.org/10.15407/dopovidi2015.11.018

Keywords:

Mayer expansion, thermodynamic potentials

Abstract

The infinite system of point particles is considered in the framework of classical statistical mechanics. A new form of the Mayer expansion for thermodynamic potentials of statistical mechanics is presented, which improves the radius of convergence of the previous one.

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References

Ruelle D. Statistical Mechanics: Rigorous results, New York; Amsterdam: Benjamin, 1969.

Minlos R. A. Introduction to Mathematical Statistical Physics, University Lecture Series, Vol. 19, Providence, R.I.; AMS, 1999.

Petrina D.Ya., Gerasimenko V. I, Malyshev P. V. Mathematical foundations of classical statistical mechanics, London; New York: CRC Press, 2002.

Lenard A. Arch. Ration. Mech. Anal., 1975, 59: 241–256.

Duneau M., Iagolnitzer D., Souillard B. Commun. Math. Phys., 1973; 31: 191–208. https://doi.org/10.1007/BF01646265

Boluh V. A., Rebenko A. L. Methods Funct. Anal. and Topol., 2014, 20, No 2: 186—192.

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Published

08.02.2025

How to Cite

Rebenko, A. L., & Boluh, V. A. (2025). On a new form of the Mayer expansion . Reports of the National Academy of Sciences of Ukraine, (11), 18–22. https://doi.org/10.15407/dopovidi2015.11.018

Issue

No. 11 (2015): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

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