Holographic Equilibration under External Dynamical Electric Field

Abstract

The holographic equilibration of a far-from-equilibrium strongly coupled gauge theory is investigated. The dynamics of a probe D7-brane in an AdS-Vaidya background is studied in the presence of an external time-dependent electric field. Defining the equilibration times $t_{eq}^c$ and $t_{eq}^j$, at which condensation and current relax to their final equilibrated values, receptively, the smallness of transition time $k_M$ or $k_E$ is enough to observe a universal behaviour for re-scaled equilibration times $k_M{k}_E(t_{eq}^c{)}^{-2}$ and $k_M{k}_E(t_{eq}^j{)}^{-2}$. Moreover, regardless of the values for $k_M$ and $k_E$, $t_{eq}^c/t_{eq}^j$ also behaves universally for large enough value of the ratio of the final electric field to final temperature. Then a simple discussion of the static case reveals that $t_{eq}^c\le t_{eq}^j$. For an out-of-equilibrium process, our numerical results show that, apart from the cases for which $k_E$ is small, the static time ordering persists.

6 pages, 8 figures

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Cited by in corpus (3)

• Linear response of entanglement entropy from holography
• Dynamically probing strongly-coupled field theories with critical point
• Thermal quench of a dynamical QCD model in an external electric field