Revised Enskog equation for hard rods

verfasst von

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.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Princeton University

Typ

Artikel

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2024

Anzahl der Seiten

17

ISSN

1742-5468

Publikationsdatum

24.04.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Statistische und nichtlineare Physik, Statistik und Wahrscheinlichkeit, Statistik, Wahrscheinlichkeit und Ungewissheit

Elektronische Version(en)

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