Superstatistics as the thermodynamic limit of driven classical systems

Sergio Davis; Claudia Loyola; Carlos Femenías; Joaquín Peralta

doi:10.1016/j.physa.2025.130370

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arXiv · 2406.11705

Superstatistics as the thermodynamic limit of driven classical systems

Sergio Davis·Claudia Loyola·Carlos Femenías·Joaquín Peralta

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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.

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Sergio Davis, Claudia Loyola, Carlos Femenías, Joaquín Peralta. 2024-06-17. Superstatistics as the thermodynamic limit of driven classical systems. https://doi.org/10.1016/j.physa.2025.130370

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