Transseries for causal diffusive systems
Transseries for causal diffusive systems
The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher's equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.
hep-th, cond-mat.str-el, hep-ph, nucl-th, physics.flu-dyn
Heller, Michal P.
5b6c6d3e-4731-414d-8556-bd8604ce5377
Serantes, Alexandre
e19687f5-de76-4cb3-9afa-c9d843c3f5e2
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Svensson, Viktor
8a239c71-2e14-4d40-9aa1-2dc260d05507
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
20 April 2021
Heller, Michal P.
5b6c6d3e-4731-414d-8556-bd8604ce5377
Serantes, Alexandre
e19687f5-de76-4cb3-9afa-c9d843c3f5e2
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Svensson, Viktor
8a239c71-2e14-4d40-9aa1-2dc260d05507
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Heller, Michal P., Serantes, Alexandre, Spaliński, Michał, Svensson, Viktor and Withers, Benjamin
(2021)
Transseries for causal diffusive systems.
Journal of High Energy Physics, [192].
(doi:10.1007/JHEP04(2021)192).
Abstract
The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher's equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.
Text
2011.13864v2
- Version of Record
More information
Accepted/In Press date: 25 March 2021
Published date: 20 April 2021
Additional Information:
v1: 23 pages + appendices, 16 figures; v2: references added, matches version published in JHEP
Keywords:
hep-th, cond-mat.str-el, hep-ph, nucl-th, physics.flu-dyn
Identifiers
Local EPrints ID: 455096
URI: http://eprints.soton.ac.uk/id/eprint/455096
ISSN: 1029-8479
PURE UUID: a5895080-1504-43c8-8fba-fc89ac23f517
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Date deposited: 09 Mar 2022 17:31
Last modified: 17 Mar 2024 02:28
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Contributors
Author:
Michal P. Heller
Author:
Alexandre Serantes
Author:
Michał Spaliński
Author:
Viktor Svensson
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