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Paper   IPM / Physic / 15082
School of Physics
  Title:   Thermalization of mutual information in hyperscaling violating backgrounds
  Author(s):  M.R. Tanhayi
  Status:   Published
  Journal: JHEP
  Vol.:  03
  Year:  2017
  Pages:   202
  Supported by:  IPM
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 [1] 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 (e.g., at the pre-local-equilibration regime). It is shown that the scaling violating parameter can be employed to define an effective dimension.

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