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Self-similar equilibration of strongly interacting systems from holography

Self-similar equilibration of strongly interacting systems from holography
Self-similar equilibration of strongly interacting systems from holography
We study the equilibration of a class of far-from-equilibrium strongly interacting systems using gauge-gravity duality. The systems we analyze are 2+1 dimensional and have a four-dimensional gravitational dual. A prototype example of a system we analyze is the equilibration of a two-dimensional fluid which is translational invariant in one direction and is attached to two different heat baths with different temperatures at infinity in the other direction. We realize such setup in gauge-gravity duality by joining two semi-infinite asymptotically anti-de Sitter (AdS) black branes of different temperatures, which subsequently evolve towards equilibrium by emitting gravitational radiation towards the boundary of AdS. At sufficiently late times the solution converges to a similarity solution, which is only sensitive to the left and right equilibrium states and not to the details of the initial conditions. This attractor solution not only incorporates the growing region of equilibrated plasma but also the outwardly propagating transition regions, and can be constructed by solving a single ordinary differential equation.
1550-7998
1-6
Bakas, Ioannis
c657877a-0129-47e5-94d2-4fa95126bacb
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
b742d8e2-1fe8-4a64-b607-2e39c42834d3
Bakas, Ioannis
c657877a-0129-47e5-94d2-4fa95126bacb
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
b742d8e2-1fe8-4a64-b607-2e39c42834d3

Bakas, Ioannis, Skenderis, Kostas and Withers, Benjamin (2016) Self-similar equilibration of strongly interacting systems from holography. Physical Review D, 93 (101902(R)), 1-6. (doi:10.1103/PhysRevD.93.101902).

Record type: Article

Abstract

We study the equilibration of a class of far-from-equilibrium strongly interacting systems using gauge-gravity duality. The systems we analyze are 2+1 dimensional and have a four-dimensional gravitational dual. A prototype example of a system we analyze is the equilibration of a two-dimensional fluid which is translational invariant in one direction and is attached to two different heat baths with different temperatures at infinity in the other direction. We realize such setup in gauge-gravity duality by joining two semi-infinite asymptotically anti-de Sitter (AdS) black branes of different temperatures, which subsequently evolve towards equilibrium by emitting gravitational radiation towards the boundary of AdS. At sufficiently late times the solution converges to a similarity solution, which is only sensitive to the left and right equilibrium states and not to the details of the initial conditions. This attractor solution not only incorporates the growing region of equilibrated plasma but also the outwardly propagating transition regions, and can be constructed by solving a single ordinary differential equation.

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Accepted/In Press date: 4 May 2016
e-pub ahead of print date: 23 May 2016
Published date: 23 May 2016
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 391634
URI: https://eprints.soton.ac.uk/id/eprint/391634
ISSN: 1550-7998
PURE UUID: a4e02a88-c76c-43a2-a8f6-2492f56bdc6b
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 24 May 2016 13:46
Last modified: 31 Jul 2019 00:36

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Contributors

Author: Ioannis Bakas
Author: Benjamin Withers

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