11 research outputs found
Holographic Thermalization
Using the AdS/CFT correspondence, we probe the scale-dependence of
thermalization in strongly coupled field theories following a quench, via
calculations of two-point functions, Wilson loops and entanglement entropy in
d=2,3,4. In the saddlepoint approximation these probes are computed in AdS
space in terms of invariant geometric objects - geodesics, minimal surfaces and
minimal volumes. Our calculations for two-dimensional field theories are
analytical. In our strongly coupled setting, all probes in all dimensions share
certain universal features in their thermalization: (1) a slight delay in the
onset of thermalization, (2) an apparent non-analyticity at the endpoint of
thermalization, (3) top-down thermalization where the UV thermalizes first. For
homogeneous initial conditions the entanglement entropy thermalizes slowest,
and sets a timescale for equilibration that saturates a causality bound over
the range of scales studied. The growth rate of entanglement entropy density is
nearly volume-independent for small volumes, but slows for larger volumes.Comment: 39 pages, 24 figure
DIFFUSIVE TRANSPORT IN A ONE DIMENSIONAL DISORDERED POTENTIAL INVOLVING CORRELATIONS
This article deals with transport properties of one dimensional Brownian
diffusion under the influence of a correlated quenched random force,
distributed as a two-level Poisson process. We find in particular that large
time scaling laws of the position of the Brownian particle are analogous to the
uncorrelated case. We discuss also the probability distribution of the
stationary flux going through a sample between two prescribed concentrations,
which differs significantly from the uncorrelated case.Comment: 9 pages, figures are not include