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Superstatistics as the thermodynamic limit of driven classical systems

Sergio Davis, Claudia Loyola, Carlos Femenías and Joaquín Peralta

Physica A: Statistical Mechanics and its Applications, 2025, vol. 660, issue C

Abstract: Superstatistics is an elegant framework for the description of steady-state thermodynamics, mostly used for systems with long-range interactions such as plasmas. In this work, we show that the potential energy distribution of a classical system under externally imposed energy fluctuations can also be described by superstatistics in the thermodynamic limit. As an example, we apply this formalism to the thermodynamics of a finite Lennard-Jones crystal with constant microcanonical heat capacity driven by sinusoidal energy oscillations. Our results show that molecular dynamics simulations of the Lennard-Jones crystal are in agreement with the provided theoretical predictions.

Keywords: Superstatistics; Molecular Dynamics; Driven systems (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:660:y:2025:i:c:s0378437125000226

DOI: 10.1016/j.physa.2025.130370

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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