Superstatistics as the thermodynamic limit of driven classical systems

Fuente: arXiv
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Main Authors: Davis, Sergio, Loyola, Claudia, Femenías, Carlos, Peralta, Joaquín
Format: Preprint
Published: 2024
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author Davis, Sergio
Loyola, Claudia
Femenías, Carlos
Peralta, Joaquín
author_facet Davis, Sergio
Loyola, Claudia
Femenías, Carlos
Peralta, Joaquín
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11705
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Superstatistics as the thermodynamic limit of driven classical systems
Davis, Sergio
Loyola, Claudia
Femenías, Carlos
Peralta, Joaquín
Statistical Mechanics
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.
title Superstatistics as the thermodynamic limit of driven classical systems
topic Statistical Mechanics
url https://arxiv.org/abs/2406.11705