Dynamical Lifshitz-type solutions and aging phenomena
High Energy Physics - Theory
2013-05-14 v3 Statistical Mechanics
General Relativity and Quantum Cosmology
Abstract
We consider time-dependent Lifshitz-type solutions in type IIB supergravity. The solutions describe a time evolution from Lifshitz spacetimes to AdS spaces. We argue the holographic relation of them to aging phenomena in condensed matter physics. The solutions have no time-translation invariance and possess the dynamical scaling symmetry with z_c=2. In addition, the time evolution corresponds to slow (nonexponential) dynamics from nonequilibrium states to the equilibrium. We also discuss a mechanism of quantum quench to generate nonequilibrium states.
Keywords
Cite
@article{arxiv.1302.5224,
title = {Dynamical Lifshitz-type solutions and aging phenomena},
author = {Kunihito Uzawa and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1302.5224},
year = {2013}
}
Comments
10 pages, 3 figures, LaTeX, typos corrected, Journal version