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Where Nonlinearity in Thermodynamic Average Comes from? Configurational Geometry Revisited

2019/07/04 by Koretaka Yuge, Yuge, Koretaka, Shouno Ohta +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Protein Structure and Dynamics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1907.02852

openalex publication_date 2019/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For classical discrete system under constant composition, we theoretically examine origin of nonlinearity in thermodynamic (so-called canonical) average w.r.t. many-body interactions, in terms of geometrical information in configuratin space. We clarify that nonlinearity essentially comes from deviation in configurational density of states (CDOS) before applying many-body interactions to the system, from multidimensional gaussian distribution. The present finding strongly suggest the significance to investigate how the deviation in CDOS bridges bidirectional stability relationships between equilibrium structure and potential energy in thermodynamic average.

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