The eightfold classification of hydrodynamic dissipation
The eightfold classification of hydrodynamic dissipation
We provide a complete characterization of hydrodynamic transport consistent with the second law of thermodynamics at arbitrary orders in the gradient expansion. A key ingredient in facilitating this analysis is the notion of adiabatic hydrodynamics, which enables isolation of the genuinely dissipative parts of transport. We demonstrate that most transport is adiabatic. Furthermore, of the dissipative part, only terms at the leading order in gradient expansion are constrained to be sign-definite by the second law (as has been derived before).
hep-th, cond-mat.stat-mech, gr-qc
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
20 May 2015
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Haehl, Felix M., Loganayagam, R. and Rangamani, Mukund
(2015)
The eightfold classification of hydrodynamic dissipation.
Phys. Rev. Lett., 114 (20), [201601].
(doi:10.1103/PhysRevLett.114.201601).
Abstract
We provide a complete characterization of hydrodynamic transport consistent with the second law of thermodynamics at arbitrary orders in the gradient expansion. A key ingredient in facilitating this analysis is the notion of adiabatic hydrodynamics, which enables isolation of the genuinely dissipative parts of transport. We demonstrate that most transport is adiabatic. Furthermore, of the dissipative part, only terms at the leading order in gradient expansion are constrained to be sign-definite by the second law (as has been derived before).
More information
Published date: 20 May 2015
Additional Information:
5 pages, 1 figure. v2: minor clarifications. v3: minor changes. title in published version differs
Keywords:
hep-th, cond-mat.stat-mech, gr-qc
Identifiers
Local EPrints ID: 471246
URI: http://eprints.soton.ac.uk/id/eprint/471246
PURE UUID: 7ab1f761-5652-4e77-a5e9-20a7964dcff4
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Date deposited: 01 Nov 2022 17:41
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Felix M. Haehl
Author:
R. Loganayagam
Author:
Mukund Rangamani
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