Thermalization of Mutual Information in Hyperscaling Violating Backgrounds

Abstract

We study certain features of scaling behaviors of the mutual information during a process of thermalization, more precisely we extend the time scaling behavior of mutual information which has been discussed in \cite{Alishahiha:2014jxa} to time-dependent hyperscaling violating geometries. We use the holographic description of entanglement entropy for two disjoint system consisting of two parallel strips whose widths are much larger than the separation between them. We show that during the thermalization process, the dynamical exponent plays a crucial rule in reading the general time scaling behavior of mutual information (\emph{e.g.,} at the pre-local-equilibration regime). It is shown that the scaling violating parameter can be employed to define an effective dimension.

24 pages, no figures, conclusion and introduction improved, ref.s added, typos corrected, generalization of arXiv:1406.7677 (thermalization of mutual information part) to time-dependent hyperscaling violating geometries, accepted for publication in JHEP

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• Thermalization of Strongly Coupled Field Theories
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• Charged Black Branes with Hyperscaling Violating Factor
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