Universität zu Köln

Weiss, Philipp S., Hardt, Dennis ORCID: 0000-0002-2854-0303 and Rosch, Achim ORCID: 0000-0002-6586-5721 (2021). Entropy production for quasiadiabatic parameter changes dominated by hydrodynamics. Phys. Rev. A, 103 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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Abstract

A typical strategy of realizing an adiabatic change of a many-particle system is to vary parameters very slowly on a time scale t(r) much larger than intrinsic equilibration time scales. In the ideal case of adiabatic state preparation, t(r) -> infinity, the entropy production vanishes. In systems with conservation laws, the approach to the adiabatic limit is hampered by hydrodynamic long-time tails, arising from the algebraically slow relaxation of hydrodynamic fluctuations. We argue that the entropy production Delta S of a diffusive system at finite temperature in one or two dimensions is governed by hydrodynamic modes resulting in Delta S similar to 1/root t(r) in d = 1 and Delta S similar to ln(t(r))/t(r) in d = 2. In higher dimensions, entropy production is instead dominated by other high-energy modes with Delta S similar to 1/t(r). In order to verify the analytic prediction, we simulate the nonequilibrium dynamics of a classical two-component gas with pointlike particles in one spatial dimension and examine the total entropy production as a function of t(r).

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Weiss, Philipp S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Hardt, Dennis UNSPECIFIED orcid.org/0000-0002-2854-0303 UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-563646
DOI:	10.1103/PhysRevA.103.033309
Journal or Publication Title:	Phys. Rev. A
Volume:	103
Number:	3
Date:	2021
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ASYMPTOTIC TIME BEHAVIOR; DIFFUSION; TRANSPORT; DYNAMICS Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/56364