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The holographic equilibration of a far-from-equilibrium strongly coupledgauge theory is investigated. The dynamics of a probe D7-brane in an AdS-Vaidyabackground is studied in the presence of an external time-dependent electricfield. Defining the equilibration times $t_{eq}^c$ and $t_{eq}^j$, at whichcondensation and current relax to their final equilibrated values, receptively,the smallness of transition time $k_M$ or $k_E$ is enough to observe auniversal 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 ofthe ratio of the final electric field to final temperature. Then a simplediscussion of the static case reveals that $t_{eq}^c \leq t_{eq}^j$. For anout-of-equilibrium process, our numerical results show that, apart from thecases for which $k_E$ is small, the static time ordering persists.

Holographic Equilibration under External Dynamical Electric Field