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A Langevin equation with a special type of additive random source is considered. This random force presents a fractional order derivative of white noise, and leads to a power-law time behavior of the mean square displacement of a particle,…

chao-dyn · Physics 2009-10-31 V. Kobelev , E. Romanov

We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects interacting with their external medium based on a generalized Langevin equation with colored noise,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko , Chun Sing Leung , Gabriela Mocanu

We review the problem of heavy-quark diffusion in the Quark-Gluon Plasma and its ramifications for heavy-quark spectra in heavy-ion collisions at RHIC. In particular, we attempt to reconcile underlying mechanisms of several seemingly…

High Energy Physics - Phenomenology · Physics 2010-01-15 Ralf Rapp

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…

High Energy Physics - Theory · Physics 2014-03-10 J. Sadeghi , B. Pourhassan , F. Pourasadollah

We develop a comprehensive model for heavy-quark evolution in a realistic QGP, from their production in the initial collision to hadronic freeze-out. Heavy-quark transport is described by a Langevin approach including medium-induced…

High Energy Physics - Phenomenology · Physics 2025-10-13 Yu Fu , Tharun Krishna , Weiyao Ke , Steffen A. Bass , Ralf Rapp

We study the consequences of different realizations of diffusion processes in relativistic Langevin simulations. We elaborate on the Ito-Stratonovich dilemma by showing how microscopically calculated transport coefficients as obtained from…

Nuclear Theory · Physics 2015-06-15 Min He , Hendrik van Hees , Pol B. Gossiaux , Rainer J. Fries , Ralf Rapp

AdS black holes with planar event horizon topology play a central role in AdS/CFT holography, and particularly in its applications. Generalisations of the known planar black holes can be found by considering the Plebanski--Demianski…

High Energy Physics - Theory · Physics 2015-06-17 Brett McInnes , Edward Teo

We calculate the drag force on a heavy quark hit by a shock wave, thus generalizing the strongly coupled AdS/CFT heavy quark drag calculations to both hot and cold nuclear matter. The derivation employs the trailing string configuration,…

High Energy Physics - Theory · Physics 2010-04-15 W. A. Horowitz , Yuri V. Kovchegov

Thermalization and collective flow of charm (c) and bottom (b) quarks are evaluated from elastic parton scattering via "D"- and "B"-meson resonances in an expanding, strongly interacting quark-gluon plasma at RHIC. Pertinent drag and…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Rapp , V. Greco , H. van Hees

We calculate open heavy-flavor (HF) transport in relativistic heavy-ion collisions by applying a strong-coupling treatment in both macro- and microscopic dynamics (hydrodynamics and non-perturbative diffusion interactions). The hydrodynamic…

Nuclear Theory · Physics 2012-08-02 Min He , Rainer J. Fries , Ralf Rapp

We show that the ``perfect fluid'' elliptic flow of the bulk hadrons and the unexpectedly strong quenching of heavy quark jet fragments in Au+Au reactions at 200 AGeV can be simultaneously accounted for within leading order AdS/CFT…

Nuclear Theory · Physics 2010-12-02 Jorge Noronha , Miklos Gyulassy , Giorgio Torrieri

Using the gauge/gravity correspondence, we study the dynamics of a heavy quark in two strongly-coupled systems at finite temperature: Super-Yang-Mills in the presence of a magnetic field and non-commutative Super-Yang-Mills. In the former,…

High Energy Physics - Theory · Physics 2012-12-13 Willy Fischler , Juan F. Pedraza , Walter Tangarife Garcia

We construct a holographic model of heavy-light mesons by extending the AdS/QCD to incorporate the behavior of the heavy quark limit. In that limit, the QCD dynamics is governed by the light quark and the heavy quark simply plays the role…

High Energy Physics - Phenomenology · Physics 2015-06-16 Yang Bai , Hsin-Chia Cheng

Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Langevin process whose friction coefficient depends on the state of a similar, unobserved process. Integrating out the latter, we derive the long…

Statistical Mechanics · Physics 2009-08-13 Golan Bel , Ilya Nemenman

We study heavy flavor evolution and hadronization in relativistic heavy-ion collisions. The in-medium evolution of heavy quarks is described using our modified Langevin framework that incorporates both collisional and radiative energy loss…

Nuclear Theory · Physics 2015-10-28 Shanshan Cao , Guang-You Qin , Steffen A Bass

We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mendeli H. Vainstein , Ismael V. L. Costa , Rafael Morgado , Fernando A. Oliveira

The momentum diffusion coefficient for heavy quarks is studied in a deconfined gluon plasma in the static approximation by investigating a correlation function of the color electric field using Monte Carlo techniques. The diffusion…

High Energy Physics - Lattice · Physics 2013-05-30 Debasish Banerjee , Saumen Datta , Rajiv Gavai , Pushan Majumdar

We investigate the thermalization of charm quarks in high energy heavy ion collisions. To this end, we calculate the diffusion coefficient in the perturbative Quark Gluon Plasma and relate it to collisional energy loss and momentum…

High Energy Physics - Phenomenology · Physics 2009-11-10 Guy D. Moore , Derek Teaney

We consider the 5d Kerr-AdS black hole as a gravity dual to rotating quark-gluon plasma. In the holographic prescription we calculate the drag force acting on a heavy quark. According to the holographic approach a heavy quark can be…

High Energy Physics - Theory · Physics 2021-05-05 Irina Ya. Aref'eva , Anastasia A. Golubtsova , Eric Gourgoulhon

We study the dynamics of energy loss and flow of heavy quarks produced in ultra-relativistic heavy-ion collisions within the framework of a Langevin equation coupled to a (2+1)-dimensional viscous hydrodynamic model that simulates the…

Nuclear Theory · Physics 2013-10-17 Shanshan Cao , Guang-You Qin , Steffen A. Bass