Details
| Original language | English |
|---|---|
| Article number | 043205 |
| Number of pages | 17 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2024 |
| Issue number | 4 |
| Publication status | Published - 24 Apr 2024 |
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.
Keywords
- breaking integrability, cold atoms, kinetic theory of gases and liquids, thermalization
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Decision Sciences(all)
- Statistics, Probability and Uncertainty
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In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2024, No. 4, 043205, 24.04.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Revised Enskog equation for hard rods
AU - Bulchandani, Vir B.
N1 - Funding Information: V B B was supported by a fellowship at the Princeton Center for Theoretical Science during part of the completion of this work and thanks X Cao, A Dhar, F Essler, D A Huse, M Kulkarni and J E Moore for helpful discussions.
PY - 2024/4/24
Y1 - 2024/4/24
N2 - 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.
AB - 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.
KW - breaking integrability
KW - cold atoms
KW - kinetic theory of gases and liquids
KW - thermalization
UR - http://www.scopus.com/inward/record.url?scp=85191331662&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2309.15846
DO - 10.48550/arXiv.2309.15846
M3 - Article
AN - SCOPUS:85191331662
VL - 2024
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 4
M1 - 043205
ER -