Revised Enskog equation for hard rods

authored by

Vir B. Bulchandani

Abstract

We point out that Percus’s collision integral for one-dimensional hard rods (Percus 1969 Phys. Fluids 12 1560-3) does not preserve the thermal equilibrium state in an external trapping potential. We derive a revised Enskog equation for hard rods and show that it preserves this thermal state exactly. In contrast to recent proposed kinetic equations for dynamics in integrability-breaking traps, both our kinetic equation and its thermal states are explicitly nonlocal in space. Our equation differs from earlier proposals at third order in spatial derivatives and we attribute this discrepancy to the choice of collision integral underlying our approach.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

Princeton University

Type

Article

Journal

Journal of Statistical Mechanics: Theory and Experiment

Volume

2024

No. of pages

17

ISSN

1742-5468

Publication date

24.04.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics, Statistics and Probability, Statistics, Probability and Uncertainty

Electronic version(s)

https://doi.org/10.48550/arXiv.2309.15846 (Access: Open)
https://doi.org/10.1088/1742-5468/ad3ccd (Access: Open)