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Generalized Langevin equation for characteristic functional of many-electron system dynamically interacting with a thermostat and besides subjected to external perturbation and observation is derived and formulated in terms of one-particle…

Statistical Mechanics · Physics 2007-05-23 Yuriy E. Kuzovlev

We review methods developed in the gauge-string duality to treat energy loss by energetic probes of a strongly coupled thermal medium. After introducing the black hole description of the thermal medium, we discuss the trailing string behind…

High Energy Physics - Theory · Physics 2016-12-21 Steven S. Gubser , Silviu S. Pufu , Fabio D. Rocha , Amos Yarom

It has long been noticed that Laudau-Lifshitz theory can be used to study the fluctuation of a system that contains a black hole. Since the black string can be constructed by extending n-dimensional black hole into one extra dimension. We…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Meng Sun , Yong-Chang Huang

It has long been noticed that Laudau-Lifshitz theory can be used to study the fluctuation of a system that contains a black hole. Since the black string can be constructed by extending n-dimensional black hole into one extra dimension. We…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Meng Sun , Yong-Chang Huna

By using the AdS/CFT correspondence and G\"{o}del black hole background, we study the dynamics of heavy quark under a rotating plasma. In that case we follow Atmaja (JHEP 1304, 021, (2013)) about Brownian motion in BTZ black hole. In this…

High Energy Physics - Theory · Physics 2014-04-22 J. Sadeghi , F. Pourasadollah , H. Vaez

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

Statistical Mechanics · Physics 2007-05-23 Frederic Douarche , Sylvain Joubaud , Nicolas B. Garnier , Artem Petrosyan , Sergio Ciliberto

We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under ergodic assumptions ensuring the applicability of the…

Probability · Mathematics 2025-12-10 Xue-Mei Li , Colin Piernot , Szymon Sobczak , Kexing Ying

The entropy and effective string tension of the moving heavy quark-antiquark pair in the strongly coupled plasmas are calculated by using a deformed an anti-de Sitter/Reissner-Nordstr$\ddot{o}$m black hole metric. A sharp peak of the…

High Energy Physics - Phenomenology · Physics 2018-03-21 Xun Chen , Sheng-Qin Feng , Ya-Fei Shi , Yang Zhong

In this paper, we generalize the theory of Brownian motion and the Onsager-Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an…

Statistical Mechanics · Physics 2016-09-28 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

We study the fluctuational behavior of overdamped elastic filaments (e.g., strings or rods) driven by active matter which induces irreversibility. The statistics of discrete normal modes are translated into the continuum of the position…

Soft Condensed Matter · Physics 2024-03-19 John C. Neu , Stephen W. Teitsworth

We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects based on the generalized Langevin equation, which accounts for the general retarded effects of the…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Chun Sing Leung , Gabriela Mocanu , Tiberiu Harko

We show that in generic isotropic holographic theories the longitudinal Langevin diffusion coefficient along the string motion is larger compared to that of the transverse direction. We argue that this is a universal relation and we derive…

High Energy Physics - Theory · Physics 2014-03-24 Dimitrios Giataganas , Hesam Soltanpanahi

In the first part of this paper, we show that the semiclassical Einstein-Langevin equation, introduced in the framework of a stochastic generalization of semiclassical gravity to describe the back reaction of matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

We provide a quantum field theoretical derivation of the Abraham-Lorentz-Dirac (ALD) equation, describing the motion of an electric point charge sourcing an electromagnetic field, which back-reacts on the charge as a self-force, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chad R. Galley , B. L. Hu , Shih-Yuin Lin

This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Enis Belgacem , Tomislav Prokopec

Relativistic current carrying strings moving axisymmetrically on the background of a Kerr black hole are studied. The boundaries and possible types of motion of a string with a given energy and current are found. Regions of parameters for…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ted Jacobson , Thomas P. Sotiriou

Heavy quark transport coefficients in a strongly coupled Quark-Gluon Plasma can be evaluated using a gauge/string duality and lattice QCD. Via this duality, one can argue that for low momenta the drag coefficient for heavy quarks is…

High Energy Physics - Phenomenology · Physics 2018-04-04 Oleg Andreev

Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin…

Statistical Mechanics · Physics 2015-05-18 Bohdan I. Lev , Alexei D. Kiselev

If the terrestrial environment is permeated by dark matter, the levitation experiences damping forces and fluctuations attributed to dark matter. This paper investigates levitodynamics with multiple stochastic forces, including thermal…

Statistical Mechanics · Physics 2024-12-25 Xi Cheng , Ji-Heng Guo , Wenyu Wang , Bin Zhu

The influence of quantized electromagnetic fields on a nonrelativistic charged particle moving near a conducting plate is studied. We give a field-theoretic derivation of the nonlinear, non-Markovian Langevin equation of the particle by the…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee
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