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For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized…

Statistical Mechanics · Physics 2012-07-11 Bartlomiej Dybiec , Juan M. R. Parrondo , Ewa Gudowska-Nowak

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

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

Statistical Mechanics · Physics 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon

In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to…

Statistical Mechanics · Physics 2010-10-13 Udo Seifert , Thomas Speck

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time…

Quantum Physics · Physics 2018-05-28 Mohammad Mehboudi , Anna Sanpera , Juan M. R. Parrondo

The role played by zero-point contribution, also called quantum noise or vacuum fluctuations, in the quantum expression of the fluctuation-dissipation theorem (FDT) is a long-standing open problem widely discussed by the physicist community…

Other Condensed Matter · Physics 2017-10-31 Lino Reggiani , Eleonora Alfinito

A time-domain formulation of the equilibrium quantum fluctuation-dissipation theorem (FDT) in the whole range of temperatures is presented. In the classical limit, the FDT establishes a proportionality relation between the dissipative part…

Statistical Mechanics · Physics 2009-10-31 Noelle Pottier , Alain Mauger

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relationship between fluctuations and dissipation expressed by…

Living systems need to be highly responsive, and also to keep fluctuations low. These goals are incompatible in equilibrium systems due to the Fluctuation Dissipation Theorem (FDT). Here, we show that biological sensory systems, driven far…

Biological Physics · Physics 2015-09-16 Pablo Sartori , Yuhai Tu

Almost a century ago, Johnson and Nyquist presented evidence of fluctuating electrical current and the governing fluctuation dissipation theorem (FDT). Whether, likewise, temperature T can fluctuate is a controversial topic and has led to…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Bayan Karimi , Fredrik Brange , Peter Samuelsson , Jukka P. Pekola

The fluctuation-dissipation theorem (FDT) is very general and applies to a broad variety of different physical phenomena in condensed matter physics. With the help of the FDT and following the famous work of Caldeira and Leggett, we show…

Statistical Mechanics · Physics 2014-11-20 Vincenzo Branchina , Marco Di Liberto , Ivano Lodato

The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance.…

Statistical Mechanics · Physics 2015-05-30 Haidong Feng , Jin Wang

The fluctuation-dissipation theorem (FDT) is a simple yet powerful consequence of the first-order differential equation governing the dynamics of systems subject simultaneously to dissipative and stochastic forces. The linear learning…

Machine Learning · Computer Science 2021-09-29 Manhyung Han , Jeonghyeok Park , Taewoong Lee , Jung Hoon Han

We examine the Hall conductivity of macroscopic two-dimensional quantum system, and show that the observed quantities can sometimes violate the fluctuation dissipation theorem (FDT), even in the linear response (LR) regime infinitesimally…

Statistical Mechanics · Physics 2018-09-26 Kentaro Kubo , Kenichi Asano , Akira Shimizu

Fluctuations associated with relaxations in far-from-equilibrium regime is of fundamental interest for a large variety of systems within broad scales. Recent advances in techniques such as spectroscopy have generated the possibility for…

Quantum Physics · Physics 2021-09-08 Zhedong Zhang , Xuanhua Wang , Jin Wang

By analogy with linear-response we formulate the duality and reciprocity properties of current and voltage fluctuations expressed by Nyquist relations including the intrinsic bandwidths of the respective fluctuations. For this purpose we…

Statistical Mechanics · Physics 2016-09-14 Lino Reggiani , Eleonora Alfinito , Tilmann Kuhn

The fluctuation dissipation theorem (FDT) is studied close to the glass transition in colloidal suspensions under steady shear. Shear breaks detailed balance in the many-particle Smoluchowski equation, and gives response functions in the…

Soft Condensed Matter · Physics 2009-11-13 Matthias Krüger , Matthias Fuchs

We consider the application of the Fluctuation Dissipation Theorem (FDT) to the electrodynamics of Aharonov-Bohm (ABE), which differs from Maxwell's in that it allows for local non-conservation of charge. For the case of a system of…

General Physics · Physics 2026-04-20 F. Minotti , G. Modanese

In a stochastic process, where noise is always present, the fluctuation-dissipation theorem (FDT) becomes one of the most important tools in statistical mechanics and, consequently, it appears everywhere. Its major utility is to provide a…

Statistical Mechanics · Physics 2021-03-08 Márcio S. Gomes-Filho , Fernando A. Oliveira
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