Generalized Gibbs Formula and the Duality of Energy and Probability in Models of Statistical Physics

Authors

  • Boris S. Nahapetian Institute of Mathematics NAS RA

DOI:

https://doi.org/10.52737/18291163-2026.18.13-1-17

Keywords:

Gibbs Formula, Duality, Transition Energy Field, Specification

Abstract

In this paper, we define a generalized Gibbs formula based on the concept of transition energy. This formula establishes a duality between energy and probability. Using this duality, we derive properties of transition energy from known properties of probability.

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References

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Published

2026-09-30

Issue

Vol. 18 No. 13 (2026): Generalized Gibbs Formula and the Duality of Energy and Probability in Models of Statistical Physics

Section

Articles

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Copyright (c) 2026 Armenian Journal of Mathematics

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
B. S. Nahapetian, “Generalized Gibbs Formula and the Duality of Energy and Probability in Models of Statistical Physics”, Armen.J.Math., vol. 18, no. 13, pp. 1–17, Sep. 2026, doi: 10.52737/18291163-2026.18.13-1-17.