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General, combinatorial formula for the density of states: insights into the energy equipartition principle and the theory of phase transitions

2010/09/28 by Agata Fronczak, Fronczak, Agata
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1009.5534

openalex publication_date 2010/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A completely new approach to the problem of energy distribution in statistical mechanics is developed that results in a general, combinatorial formula for the density of states. Relying on the approach the energy equipartition principle is reexamined and a new perspective on the theory of phase transitions (as resulting from nontrivial patterns of energy distribution characterized by the well-defined classes of forbidden microstates) is given.

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