Dynamical Lifshitz-type solutions and aging phenomena

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.

10 pages, 3 figures, LaTeX, typos corrected, Journal version

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Cited by in corpus (7)

• Lifshitz flows in IIB and dual field theories
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• Probe brane dynamics on cosmological brane backgrounds
• Colliding $p$-branes in the dynamical intersecting brane system
• Violation of cosmic censorship in dynamical $p$-brane systems
• Dynamical angled brane
• Supersymmetry in a dynamical M-brane background