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The fluctuation-dissipation theorem requires the presence of thermal noise in viscous fluids. The time and length scales of heavy ion collisions are small enough so that the thermal noise can have a measurable effect on observables. Thermal…

Nuclear Theory · Physics 2015-04-16 C. Young , J. I. Kapusta , C. Gale , S. Jeon , B. Schenke

The dispersion law of transverse spin waves known in the Stoner-Hubbard model of itinerant ferromagnetism corresponds to that is well known in more broder and well controlled approach of Fermi-liquid theory. Making use the quantum-field…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Mineev

The Markovian diffusion theory in the phase space is generalized within the framework of the general theory of relativity. The introduction of moving orthonormal frame vectors both for the position as well the velocity space enables to…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Joachim Herrmann

Using the generalized Langevin equations involving the stress tensor approach, we study the dynamics of a perfectly reflecting mirror which is exposed to the electromagnetic radiation pressure by a laser beam in a fluid at finite…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chun-Hsien Wu , Da-Shin Lee

We introduce and solve a model of a thermometric measurement on a driven glassy system in a stationary state. We show that a thermometer with a sufficiently slow response measures a temperature higher than that of the environment, but that…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

Superdiffusive finite-temperature transport has been recently observed in a variety of integrable systems with nonabelian global symmetries. Superdiffusion is caused by giant Goldstone-like quasiparticles stabilized by integrability. Here,…

Statistical Mechanics · Physics 2021-08-03 Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We investigate non-equilibrium behavior of driven dissipative systems, using the model presented in [Phys. Rev. Lett. 93, 240601 (2004)]. We solve the non-Boltzmann steady state energy distribution and the temporal evolution to it, and find…

Statistical Mechanics · Physics 2007-05-23 Yair Shokef , Dov Levine

The fluctuation-dissipation theory is grounded on the Langevin condition expressing the local independence between the thermal force and the particle velocity history. Upon hydrodynamic grounds, it is reasonable to relax this condition in…

Statistical Mechanics · Physics 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

We discuss how to derive a Langevin equation (LE) in non standard systems, i.e. when the kinetic part of the Hamiltonian is not the usual quadratic function. This generalization allows to consider also cases with negative absolute…

Statistical Mechanics · Physics 2018-04-12 M. Baldovin , A. Puglisi , A. Vulpiani

By numerical simulation of a Lennard-Jones like liquid driven by a velocity gradient \gamma we test the fluctuation relation (FR) below the (numerical) glass transition temperature T_g. We show that, in this region, the FR deserves to be…

Statistical Mechanics · Physics 2009-11-10 F. Zamponi , G. Ruocco , L. Angelani

Long-wavelength Mermin-Wagner fluctuations prevent the existence of translational long-range order, in two-dimensional systems at finite temperature. Their dynamical signature, which is the divergence of the vibrational amplitude with the…

We consider work fluctuation relations (FRs) for generic types of dynamics generating anomalous diffusion: Levy flights, long-correlated Gaussian processes and time-fractional kinetics. By combining Langevin and kinetic approaches we…

Statistical Mechanics · Physics 2009-03-24 A. V. Chechkin , R. Klages

Kramer's approach to the rate of the thermally activated escape from a metastable state is extended to field theory. Diffusion rate in the 1+1-dimensional Sine-Gordon model as a function of temperature and friction coefficient is evaluated…

High Energy Physics - Lattice · Physics 2009-10-22 Alexander Bochkarev , Philippe de Forcrand

Finite-temperature spin transport in integrable isotropic spin chains (i.e., spin chains with continuous nonabelian symmetries) is known to be superdiffusive, with anomalous transport properties displaying remarkable robustness to isotropic…

Statistical Mechanics · Physics 2024-12-10 Catherine McCarthy , Sarang Gopalakrishnan , Romain Vasseur

In this Letter we report the measurement of a pseudo-temperature for compacting granular media on the basis of the Fluctuation-Dissipation relations in the aging dynamics of a model system. From the violation of the Fluctuation-Dissipation…

Statistical Mechanics · Physics 2009-11-07 Vittoria Colizza , Alain Barrat , Vittorio Loreto

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

Statistical Mechanics · Physics 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

We theoretically study Langevin systems with a tilted periodic potential. It has been known that the ratio $\Theta$ of the diffusion constant to the differential mobility is not equal to the temperature of the environment (multiplied by the…

Statistical Mechanics · Physics 2009-11-10 Kumiko Hayashi , Shin-ichi Sasa

We discuss two ways of deriving the fluctuation-dissipation theorem (FDT) for soft fermion excitations in a hot non-Abelian plasma being in a thermal equilibrium. The first of them is based on the extended (pseudo)classical model in…

High Energy Physics - Phenomenology · Physics 2010-05-27 Yuri A. Markov , Margaret A. Markova

It is quite generally assumed that the overdamped Langevin equation provides a quantitative description of the dynamics of a classical Brownian particle in the long time limit. We establish and investigate a paradigm anomalous diffusion…

Statistical Mechanics · Physics 2016-09-26 A. S. Bodrova , A. V. Chechkin , A. G. Cherstvy , H. Safdari , I. M. Sokolov , R. Metzler

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. In order to describe the long time behavior of the particle,…

Probability · Mathematics 2018-06-25 Pierre Mathieu , Andrey Piatnitski
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