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In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In…

High Energy Physics - Theory · Physics 2022-01-12 Nathan G. Caldeira , Eduardo Folco Capossoli , Carlos A. D. Zarro , Henrique Boschi-Filho

In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreated AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential…

High Energy Physics - Theory · Physics 2021-02-19 Nathan G. Caldeira , Eduardo Folco Capossoli , Carlos A. D. Zarro , Henrique Boschi-Filho

We report on measurements of the transverse fluctuations of a string in a turbulent air jet flow. Harmonic modes are excited by the fluctuating drag force, at different wave-numbers. This simple mechanical probe makes it possible to measure…

Statistical Mechanics · Physics 2009-11-13 Vincent Grenard , Nicolas Garnier , Antoine Naert

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

Statistical Mechanics · Physics 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may…

High Energy Physics - Theory · Physics 2015-07-24 A. L. M. Britto , Ashok K. Das , J. Frenkel

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

Statistical Mechanics · Physics 2023-03-23 Alex Fontana , Ludovic Bellon

We clarify the structure of thermal noise in AdS/CFT by studying the dynamics of an equilibrated heavy quark string. Using the Kruskal extension of the correspondence to generate the dynamics of the field theory on the Keldysh contour, we…

High Energy Physics - Theory · Physics 2009-07-22 Dam T. Son , Derek Teaney

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

We analyze the fluctuations of the dissipated energy in a simple and general model where dissipation, diffusion and driving are the key ingredients. The large deviation function for the dissipation follows from hydrodynamic fluctuation…

Statistical Mechanics · Physics 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

Starting from a quantum Langevin equation (QLE) of a charged particle coupled to a heat bath in the presence of an external magnetic field, we present a fully dynamical calculation of the susceptibility tensor. We further evaluate the…

Statistical Mechanics · Physics 2009-11-11 Malay Bandyopadhyay , Sushanta Dattagupta

In this paper we investigate some general aspects of fluctuation and dissipation in the holographic scenario at zero and finite density. We model this situation with a probe string in a diagonal metric representing a black brane. The string…

High Energy Physics - Theory · Physics 2024-04-25 Nathan G. Caldeira , Carlos A. D. Zarro , Henrique Boschi-Filho

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

The behaviour of the space-like string tension in the high temperature phase is studied. Data obtained in the $Z_2$ gauge model in (2+1) dimensions are compared with predictions of a simple model of a fluctuating flux tube with finite…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , R. Fiore , F. Gliozzi , P. Guaita , S. Vinti

We obtain exact expressions for the two-time autocorrelation and response functions of the $d$-dimensional linear Glauber model. Although this linear model does not obey detailed balance in dimensions $d\geq 2$, we show that the usual form…

Statistical Mechanics · Physics 2009-11-11 M. O. Hase , S. R. Salinas , T. Tomé , M. J. de Oliveira

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The…

Materials Science · Physics 2009-11-07 A. Rebei , G. J. Parker

Detrended fluctuation analysis is used to investigate power law relationship between the monthly averages of the maximum daily temperatures for different locations in the western US. On the map created by the power law exponents, we can…

Statistical Mechanics · Physics 2007-05-23 M. L. Kurnaz

The use of linear response theory for forced dissipative stochastic dynamical systems through the fluctuation dissipation theorem is an attractive way to study climate change systematically among other applications. Here, a mathematically…

Mathematical Physics · Physics 2019-02-26 Martin Hairer , Andrew J Majda

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

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