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We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

Statistical Mechanics · Physics 2016-11-23 Tridib Sadhu , Bernard Derrida

We investigate by Montecarlo simulation the linear response function of three dimensional structural glass models defined by short-range kinetic constraints and a trivial equilibrium Boltzmann-Gibbs measure. The breakdown of the…

Statistical Mechanics · Physics 2009-10-31 Mauro Sellitto

The energy-energy correlation function of the two-dimensional Ising model with weakly fluctuating random bonds is evaluated in the large scale limit. Two correlation lengths exist in contrast to one correlation length in the pure 2D Ising…

Condensed Matter · Physics 2007-05-23 K. Ziegler

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We study critical behavior of the diluted 2D Ising model in the presence of disorder correlations which decay algebraically with distance as $\sim r^{-a}$. Mapping the problem onto 2D Dirac fermions with correlated disorder we calculate the…

Disordered Systems and Neural Networks · Physics 2016-06-23 Maxym Dudka , Andrei A. Fedorenko , Viktoria Blavatska , Yurij Holovatch

We study the non-equilibrium relaxation of an elastic line described by the Edwards-Wilkinson equation. Although this model is the simplest representation of interface dynamics, we highlight that many (not though all) important aspects of…

Statistical Mechanics · Physics 2009-11-13 Sebastian Bustingorry , Leticia F. Cugliandolo , José Luis Iguain

We review a statistical picture of the glassy state derived from the analysis of the off-equilibrium fluctuation-dissipation relations. We define an ultra-long time limit where ``one time quantities'' are close to equilibrium while response…

Statistical Mechanics · Physics 2009-11-07 Silvio Franz

We study the off-equilibrium critical dynamics of the three dimensional diluted Ising model. We compute the dynamical critical exponent $z$ and we show that it is independent of the dilution only when we take into account the…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The celebrated {\it fluctuation dissipation theorem} (FDT) does not apply to nonequilibrium systems. In this context, Cugliandolo and Kurchan [Phys. Rev. Lett. {\bf 71}, 173 (1993)] introduced a generalized FDT which interprets the…

Statistical Mechanics · Physics 2025-12-25 Parbati Saha , Sanjay Puri , Varsha Banerjee

Dynamic correlation and response functions of classical and quantum systems in thermal equilibrium are connected by fluctuation-dissipation theorems, which allow an alternative definition of their (unique) temperature. Motivated by this…

Statistical Mechanics · Physics 2015-05-30 Laura Foini , Leticia F. Cugliandolo , Andrea Gambassi

A method is presented for measuring the integrated response in Ising spin system without applying any perturbing field. Large-scale simulations are performed in order to show how the method works. Very precise measurements of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Federico Ricci-Tersenghi

We consider the non-conserved dynamics of the Ising model on the two-dimensional square lattice, where each spin is influenced preferentially by its East and North neighbours. The single-spin flip rates are such that the stationary state is…

Statistical Mechanics · Physics 2014-12-09 Claude Godreche , Michel Pleimling

We develop an interpretation of the off-equilibrium dynamical solution of mean-field glassy models in terms of quasi-equilibrium concepts. We show that the relaxation of the "thermoremanent magnetization" follows a generalized version of…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Franz , M. A. Virasoro

We analytically study a one dimensional compaction model in the glassy regime. Both correlation and response functions are calculated exactly in the evolving dense and low tapping strength limit, where the density relaxes in a $1/\ln t$…

Statistical Mechanics · Physics 2009-11-10 Martin Depken , Robin Stinchcombe

Driven-dissipative many-body systems are difficult to analyze analytically due to their non-equilibrium dynamics, dissipation and many-body interactions. In this paper, we consider a driven-dissipative infinite-range Ising model with local…

Quantum Gases · Physics 2021-09-08 Daniel A. Paz , Mohammad F. Maghrebi

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

Statistical Mechanics · Physics 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

The classical fluctuation-dissipation theorem predicts the average response of a dynamical system to an external deterministic perturbation via time-lagged statistical correlation functions of the corresponding unperturbed system. In this…

Chaotic Dynamics · Physics 2017-02-28 Rafail V. Abramov

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

The fluctuation-dissipation relation (FDR), a fundamental result of equilibrium statistical physics, ceases to be valid when a system is taken out of the equilibrium. A generalization of FDR has been theoretically proposed for…

Soft Condensed Matter · Physics 2015-06-29 Claudio Maggi , Roberto Di Leonardo , Jeppe C. Dyre , Giancarlo Ruocco

We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master…

Statistical Mechanics · Physics 2022-06-01 Vijay Pal Singh , Hendrik Weimer
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