Dynamic critical phenomena in the AdS/CFT duality

TL;DR

This paper investigates dynamic critical phenomena within the AdS/CFT duality framework, focusing on black holes with R-charge and their transport properties near critical points, revealing model B behavior in various dimensions.

Contribution

It introduces a study of dynamic critical phenomena in AdS/CFT, analyzing R-charge diffusion in charged black holes and classifying their behavior as model B.

Findings

Black holes exhibit singular behavior in R-charge diffusion near critical points

The study confirms the classification of these black holes as model B

Transport coefficients show critical scaling behavior

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.