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Dynamic critical phenomena in the AdS/CFT duality

arXiv:0809.4074 · doi:10.1103/PhysRevD.78.106007

Abstract

In critical phenomena, singular behaviors arise not only for thermodynamic quantities but also for transport coefficients. We study this dynamic critical phenomenon in the AdS/CFT duality. We consider black holes with a single R-charge in various dimensions and compute the R-charge diffusion in the linear perturbations. In this case, the black holes belong to model B according to the classification of Hohenberg and Halperin.

17 pages, ReVTeX4; v2: added references and discussion