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Paper IPM / Physic / 14655  


Abstract:  
The holographic equilibration of a farfromequilibrium strongly coupled gauge theory is investigated. The dynamics of a probe D7brane in an AdSVaidya background is studied in the presence of an external timedependent 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 rescaled 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} ≤ t_{eq}^{j}. For an outofequilibrium process, our numerical results show that, apart from the cases for which k_{E} is small, the static time ordering persists.
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