Holographic Brownian Motion in Two Dimensional Rotating Fluid

Abstract

The Brownian motion of a heavy quark under a rotating plasma corresponds to BTZ black hole is studied using holographic method from string theory. The position of heavy quark is represented as the end of string at the boundary of BTZ black hole and the corresponding rotating plasma is one dimensional compact space. We requires the angular velocity of the string fluctuation to be equal to the ratio between inner horizon and outer horizon, called terminal angular velocity, which is related to the zero total force condition. We show the displacement square of this solution behaves as a Brownian particle in non-relativistic limit. For relativistic case, we argue that it is more appropriate to compute the leading order of low frequency limit of random-random force correlator. The Brownian motion relates this correlator with physical observables: effective mass of the Brownian particle, friction coefficient, and temperature of the plasma.

major revision (abstract, add more references, more detail in some sections, formulas correction), 23 pages, accepted to JHEP

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Angular momentum conservation in heavy ion collisions at very high energy
• Relativistic Brownian Motion
• Holographic spectral functions and diffusion constants for fundamental matter
• A holographic view on physics out of equilibrium
• Thermal Noise and Stochastic Strings in AdS/CFT
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Fluctuation and Dissipation at a Quantum Critical Point
• Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation
• Holographic Brownian Motion in Magnetic Environments

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• Brownian motion in strongly coupled, anisotropic Yang-Mills plasma: A holographic approach
• Holograghic Brownian motion in $2+1$ dimensional hairy black holes
• Open effective theory of scalar field in rotating plasma
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• Holograghic Brownian motion in three dimensional Gödel black hole
• Effective Mass of Holographic Brownian Particle in Rotating Plasma
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• Back reaction effects on the dynamics of heavy probes in heavy quark cloud
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Strongly Coupled Heavy and Light Quark Thermal Motion from AdS/CFT