Holograghic Brownian motion in $2+1$ dimensional hairy black holes

Abstract

In this paper, we investigate the dynamics of a heavy quark under the plasmas correspond to three dimensional hairy black holes. We utilize the AdS/CFT correspondence to study the holographic Brownian motion of this particle in different kinds of hairy black holes. For uncharged black hole at low frequency limit we derive analytic expressions for correlation functions and response functions and verify that the fluctuation-dissipation theorem holds in the presence of a scalar field in the metric background. In the case of charged black hole, we think that the results are similar to what derived for uncharged black hole.

15 pages

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• Modified Cosmic Chaplygin AdS Black Hole
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• Out of time ordered effective dynamics of a quartic oscillator
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• The temperature and entropy corrections on the charged hairy black holes
• The Hawking temperature in the context of dark energy for four-dimensional asymptotically AdS black holes with scalar hair
• Quantum loop corrections of charged dS black hole
• Strongly Coupled Heavy and Light Quark Thermal Motion from AdS/CFT