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Exact theoretical results for the violation of time dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of correlation to delayed response in the stochastic model introduced in [Phys. Rev.…

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

Liouville's theorem, based on the Hamiltonian flow (micro-canonical ensemble) for a many particle system, indicates that the (stationary) equilibrium probability distribution is a function of the Hamiltonian. A canonical ensemble…

Statistical Mechanics · Physics 2012-11-21 A. Bhattacharyay

We investigate the fluctuating incompressible Navier--Stokes equation driven by spatially correlated thermal noise characterized by a single length scale. This formulation is constructed to preserve thermal equilibrium through the…

Biological Physics · Physics 2025-11-19 Sijie Huang , Ayush Saurabh , Steve Presse

We investigate the validity of a zeroth thermodynamic law for non-equilibrium systems. In order to describe the thermodynamics of the glassy systems, it has been introduced an extra parameter, the effective temperature which generalizes the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Adan Garriga

We investigate, analytically near the dimension $d_{uc}=4$ and numerically in $d=3$, the non equilibrium relaxational dynamics of the randomly diluted Ising model at criticality. Using the Exact Renormalization Group Method to one loop, we…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Raja Paul

In a nonequilibrium steady state, the violation of the fluctuation-dissipation theorem (FDT) is connected to breaking detailed balance. For the velocity correlations of a driven colloidal particle we calculate an explicit expression of the…

Statistical Mechanics · Physics 2007-05-23 T. Speck , U. Seifert

We describe some interesting effects observed during the evolution of nonequilibrium systems, using domain growth and glassy systems as examples. We breafly discuss the analytical tools that have been recently used to study the dynamics of…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo

For open systems derived from quadratic total Hamiltonians, we derive a dynamic fluctuation-dissipation (FD) inequality valid for any total initial state and without regard to the sign of the dissipation. With the added constraint that this…

Quantum Physics · Physics 2013-09-24 Allan Tameshtit

In this paper we study the nonequilibrium evolution of a quantum Brownian oscillator, modeling the internal degree of freedom of a harmonic atom or an Unruh-DeWitt detector, coupled to a nonequilibrium, nonstationary quantum field and…

Quantum Physics · Physics 2022-01-11 Jen-Tsung Hsiang , Bei-Lok Hu

We present the experimental observation of the fluctuation-dissipation theorem (FDT) violation in an assembly of interacting magnetic nanoparticles in the low temperature superspin glass phase. The magnetic noise is measured with a…

Disordered Systems and Neural Networks · Physics 2015-05-20 Katsuyoshi Komatsu , D. L'Hote , Sawako Nakamae , Vincent Mosser , Marcin Konczykowski , Emmanuelle Dubois , V. Dupuis , Régine Perzynski

We consider a one-dimensional Brownian motion under nonequilibrium feedback control. Generally, the fluctuation-dissipation theorem (FDT) is violated in driven systems under nonequilibrium conditions. We find that the degree of the FDT…

Statistical Mechanics · Physics 2013-06-13 Sosuke Ito , Masaki Sano

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

Statistical Mechanics · Physics 2023-12-15 T. R. Kirkpatrick , D. Belitz

The fluctuation-dissipation theorem is a hallmark of equilibrium system that stem from their time-reversal symmetry. In many non-equilibrium systems, in particular active ones, extensions and explicit violations of this theorem are used to…

Statistical Mechanics · Physics 2026-04-06 Mathias Casiulis , Leticia F. Cugliandolo

A nonlinear generalization of the Fluctuation-Dissipation Theorem (FDT) for the n-point Green functions and the amputated 1PI vertex functions at finite temperature is derived in the framework of the Closed Time Path formalism. We verify…

High Energy Physics - Theory · Physics 2009-10-09 Enke Wang , Ulrich Heinz

We measure the fluctuations of the position of a Brownian particle confined by an optical trap in an aging gelatin droplet after a fast quench. Its linear response to an external perturbation is also measured. We compute the spontaneous…

Statistical Mechanics · Physics 2012-03-05 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto

We introduce functional methods to study the non-equilibrium dynamics of a quantum massless scalar field at finite temperature in a gravitational field. We calculate the Close Time Path (CTP) effective action and, using its formal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Campos , B. L. Hu

We study the out-of-equilibrium dynamics of the spherical ferromagnet after a quench to its critical temperature. We calculate correlation and response functions for spin observables which probe lengthscales much larger than the lattice…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Annibale , P. Sollich

We discuss the "generalized fluctuation-dissipation relations (theorems)" for the first time suggested by us in 1977-1984 as statistical-thermodynamical consequences of time symmetry (reversibility) of microscopic dynamics. It is shown, in…

Statistical Mechanics · Physics 2015-06-11 G. N. Bochkov , Yu. E. Kuzovlev

We present numerical tests of the fluctuation-dissipation theorem (FDT) in the dumbbell model of spin ice with parameters suitable for dysprosium titanate. The tests are made for local spin variables, magnetic monopole density, and energy.…

Statistical Mechanics · Physics 2022-04-29 Valentin Raban , Ludovic Berthier , Peter C. W. Holdsworth

This review reports on the research done during the past years on violations of the fluctuation-dissipation theorem (FDT) in glassy systems. It is focused on the existence of a quasi-fluctuation-dissipation theorem (QFDT) in glassy systems…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Crisanti , F. Ritort
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