Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics
Autor: | Attems, Maximilian, Bea, Yago, Casalderrey-Solana, Jorge, Mateos, David, Triana, Miquel, Zilhao, Miguel |
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Rok vydání: | 2017 |
Předmět: | |
Zdroj: | JHEP 1706 (2017) 129 |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP06(2017)129 |
Popis: | We use holography to study the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order thermal phase transition. We place the theory on a cylinder in a set of homogeneous, unstable initial states. The dual gravity configurations are black branes afflicted by a Gregory-Laflamme instability. We numerically evolve Einstein's equations to follow the instability until the system settles down to a stationary, inhomogeneous black brane. The dual gauge theory states have constant temperature but non-constant energy density. We show that the time evolution of the instability and the final states are accurately described by second-order hydrodynamics. In the static limit, the latter reduces to a single, second-order, non-linear differential equation from which the inhomogeneous final states can be derived. Comment: 11 pages, 6 figures. Matches published version in JHEP |
Databáze: | arXiv |
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