Dynamic critical phenomena in the AdS/CFT duality

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

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Cited by in corpus (37)

• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Dynamic critical phenomena at a holographic critical point
• Critical phenomena in Born-Infeld AdS black holes
• Universality class of holographic superconductors
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• Vortex lattice for a holographic superconductor
• Quantum criticality and black holes
• Holographic Collisions across a Phase Transition
• Hyperscaling-Violation on Probe D-Branes
• The shear viscosity of holographic superfluids
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• Universal thermal and electrical conductivity from holography
• Transport at criticality
• Very General Holographic Superconductors and Entanglement Thermodynamics
• Critical phenomena in N=4 SYM plasma
• Quantum Quenches in a Holographic Kondo Model
• Dynamic universality class of large-N gauge theories
• A new phase for the anisotropic N=4 super Yang-Mills plasma
• Holographic Lifshitz superconductors: Analytic solution
• The final fate of instability of Reissner-Nordström-anti-de Sitter black holes by charged complex scalar fields
• Notes on R-charged black holes near criticality and gauge theory
• Universal properties of thermal and electrical conductivity of gauge theory plasmas from holography
• Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly
• Transport coefficients of O(N) scalar field theories close to the critical point
• Kibble-Zurek scaling in holography
• Critical phenomena in N=2* plasma
• Black hole phase transitions via Bragg-Williams
• Critical phenomena in the AdS/CFT duality
• Generalized Superconductors and Holographic Optics - II
• Drude weight and Mazur-Suzuki bounds in holography
• Critical and near-critical relaxation of holographic superfluids
• Phase transition in black holes
• Twisted holographic superconductors in external magnetic field
• Dynamical Stability and Critical Exponents of the Neutral (S-type) Gubser-Rocha Model with Momentum Dissipation
• Holographic superfluid flows with a localized repulsive potential