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A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

Statistical Mechanics · Physics 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

The definition of a nonequilibrium temperature through generalized fluctuation-dissipation relations relies on the independence of the fluctuation-dissipation temperature from the observable considered. We argue that this observable…

Statistical Mechanics · Physics 2015-03-13 Kirsten Martens , Eric Bertin , Michel Droz

We consider the out-of-equilibrium, purely relaxational dynamics of a weakly diluted Ising model in the aging regime at criticality. We derive at first order in a $\sqrt{\epsilon}$ expansion the two-time response and correlation functions…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Gambassi

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

The dynamics of phase separation for a binary fluid subjected to a uniform shear are solved exactly for a model in which the order parameter is generalized to an n-component vector and the large-n limit taken. Characteristic length scales…

Statistical Mechanics · Physics 2009-10-31 N. P. Rapapa , A. J. Bray

We consider the modified Ising model introduced by de Oliveira et al. [J.Phys.A {\bf 26}, 2317 (1993)], where the temperature depends locally on the spin configuration and detailed balance and local equilibrium are not obeyed. We derive a…

Statistical Mechanics · Physics 2009-09-29 Natascia Andrenacci , Federico Corberi , Eugenio Lippiello

In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite…

Soft Condensed Matter · Physics 2023-02-23 Ahmad K. Omar , Katherine Klymko , Trevor GrandPre , Phillip L. Geissler , John F. Brady

We introduce a solvable stochastic model inspired by granular gases for driven dissipative systems. We characterize far from equilibrium steady states of such systems through the non-Boltzmann energy distribution and compare different…

Statistical Mechanics · Physics 2007-05-23 Yair Srebro , Dov Levine

We discuss fluctuation-dissipation relations valid under general conditions even out of equilibrium. The response function is expressed in terms of unperperturbed correlation functions, where contributions peculiar to non-equilibrium can…

Statistical Mechanics · Physics 2012-03-23 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino , Dario Villamaina , Angelo Vulpiani

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

Fluctuation-dissipation relations have received significant attention as a potential method for defining an effective temperature in nonequilibrium systems. The successful development of an effective temperature would be an important step…

Soft Condensed Matter · Physics 2009-11-11 Michael Twardos , Michael Dennin

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 study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

Statistical Mechanics · Physics 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

Statistical Mechanics · Physics 2010-09-10 Thomas Speck

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

The non-equilibrium transition from a fluid-like state to a disordered solid-like state, known as the jamming transition, occurs in a wide variety of physical systems, such as colloidal suspensions and molecular fluids, when the temperature…

Soft Condensed Matter · Physics 2012-02-10 M. Pica Ciamarra , R. Pastore , M. Nicodemi , A. Coniglio

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter correlation function along the transition line of mixed order…

Statistical Mechanics · Physics 2019-09-04 Mustansir Barma , Satya N. Majumdar , David Mukamel

We study a class of non-equilibrium lattice models describing local redistributions of a globally conserved quantity, which is interpreted as an energy. A particular subclass can be solved exactly, allowing to define a statistical…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical…

Statistical Mechanics · Physics 2020-07-01 I. V. Pylyuk , O. A. Dobush