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We show that the numerical method based on the off-equilibrium fluctuation-dissipation relation does work and is very useful and powerful in the study of disordered systems which show a very slow dynamics. We have verified that it gives the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Intermittency in fluid turbulence can be emphasized through the analysis of Probability Distribution Functions (PDF) for velocity fluctuations, which display a strong non-gaussian behavior at small scales. Castaing et al. (1990) have…

In contrast to equilibrium systems, non-equilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber and heat bath rates, we illustrate this expectation for an Ising lattice…

Statistical Mechanics · Physics 2009-11-10 Wooseop Kwak , D. P. Landau , B. Schmittmann

We propose a simple conjecture for the functional form of the asymptotic behavior of work distributions for driven overdamped Brownian motion of a particle in confining potentials. This conjecture is motivated by the fact that these…

Statistical Mechanics · Physics 2016-01-20 Viktor Holubec , Dominik Lips , Artem Ryabov , Petr Chvosta , Philipp Maass

We introduce and analyze a natural class of nonlinear dynamics for spin systems such as the Ising model. This class of dynamics is based on the framework of mass action kinetics, which models the evolution of systems of entities under…

Probability · Mathematics 2024-12-24 Pietro Caputo , Alistair Sinclair

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis , F. D. Nobre

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

We investigate the influence of the driving mechanism on the hysteretic response of systems with athermal dynamics. In the framework of local-mean field theory at finite temperature (but neglecting thermallly activated processes), we…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Martin-Luc Rosinberg , Eduard Vives

We study spread complexity and the statistics of work done for quenches in the three-spin interacting Ising model, the XY spin chain, and the Su-Schrieffer-Heeger model. We study these models without quench and for different schemes of…

Quantum Physics · Physics 2023-07-11 Mamta Gautam , Nitesh Jaiswal , Ankit Gill

We analytically calculate the work distribution of a quantum harmonic oscillator with arbitrary time-dependent angular frequency. We provide detailed expressions for the work probability density for adiabatic and nonadiabatic processes, in…

Statistical Mechanics · Physics 2010-04-12 Sebastian Deffner , Eric Lutz

We experimentally investigate the distribution of the non-equilibrium work done by an external force on a mesoscopic system with many coupled degrees of freedom: a colloidal monolayer mechanically driven across a periodic light field. Since…

Statistical Mechanics · Physics 2015-04-30 Juan Ruben Gomez-Solano , Christoph July , Jakob Mehl , Clemens Bechinger

We consider an infinite-range Ising model under the Glauber dynamics and determine the finite-size effect on the distribution of two spin variables as a perturbation of $O \left( 1/N \right)$. Based on several considerations, ordinary…

Statistical Mechanics · Physics 2022-02-25 Hisato Komatsu

The majority of dynamical studies in power systems focus on the high voltage transmission grids where models consider large generators interacting with crude aggregations of individual small loads. However, new phenomena have been observed…

Physics and Society · Physics 2015-06-12 Charlie Duclut , Scott Backhaus , Michael Chertkov

We investigate the distribution of zeros of the partition function of the two- and three-dimensional symmetric $\pm J$ Ising spin glasses on the complex field plane. We use the method to analytically implement the idea of numerical transfer…

Disordered Systems and Neural Networks · Physics 2008-08-04 Yoshiki Matsuda , Hidetoshi Nishimori , Koji Hukushima

Steady state distribution functions can be used to calculate stability conditions for modes, radiation energy losses, and particle loss rates. Heuristic analytic approximations to these distributions can capture key behaviors of the true…

Plasma Physics · Physics 2025-09-23 Greta X. Li , Elijah J. Kolmes , Ian E. Ochs , Nathaniel J. Fisch

Spin fluctuations have a substantial influence on the electron and lattice behaviors in magnetic materials, which, however, is difficult to be tracked properly by prevalent first-principles methods. We propose a versatile self-adaptive…

Materials Science · Physics 2023-02-14 Zefeng Cai , Ke Wang , Yong Xu , Su-Huai Wei , Ben Xu

Monte Carlo simulations of Ising models coupled to heat baths at two different temperatures are used to study a fluctuation relation for the heat exchanged between the two thermostats in a time $\tau$. Different kinetics (single--spin--flip…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

Statistical Mechanics · Physics 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

We use simple models (the Ising model in one and two dimensions, and the spherical model in arbitrary dimension) to put to the test some recent ideas on the slow dynamics of nonequilibrium systems. In this review the focus is on the…

Statistical Mechanics · Physics 2009-11-07 C. Godreche , J. M. Luck

We propose a simple and general procedure based on a recently introduced approach that uses an importance-sampling Monte Carlo algorithm in the disorder to probe to high precision the tails of ground-state energy distributions of disordered…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mathias Koerner , Helmut G. Katzgraber , Alexander K. Hartmann