Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics

Autor: Attems, Maximilian, Bea, Yago, Casalderrey-Solana, Jorge, Mateos, David, Triana, Miquel, Zilhao, Miguel
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