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Many Faces of Entropy or Bayesian Statistical Mechanics

2010/07/11 by E. B. Starikov, Starikov, E. B.
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Physics (physics.gen-ph) #Geometric Analysis and Curvature Flows #Material Dynamics and Properties #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1007.1773

submitted

arxiv created 2010/07/11 · openalex publication_date 2010/07/11 · arxiv updated 2010/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Some 80-90 years ago, George A. Linhart, unlike A. Einstein, P. Debye, M. Planck and W. Nernst, has managed to derive a very simple, but ultimately general mathematical formula for heat capacity vs. temperature from the fundamental thermodynamical principles, using what we would nowadays dub a "Bayesian approach to probability". Moreover, he has successfully applied his result to fit the experimental data for diverse substances in their solid state in a rather broad temperature range. Nevertheless, Linhart's work was undeservedly forgotten, although it does represent a valid and fresh standpoint on thermodynamics and statistical physics, which may have a significant implication for academic and applied science.

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