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In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

Statistical Mechanics · Physics 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

For systems in nonequilibrium steady states, a novel modulated Gaussian probability distribution is derived to incorporate a new phenomenon of biased current fluctuations, discovered by recent laboratory experiments and confirmed by…

Statistical Mechanics · Physics 2016-05-04 Roman Belousov , E. G. D. Cohen

A binary fluid mixture in contact with lateral particle reservoirs is considered. By imposing different particle concentrations in these reservoirs, the system can be maintained under controlled non-equilibrium conditions. Previous…

Statistical Mechanics · Physics 2026-04-01 O. Politano , Alejandro L. Garcia , F. Baras , M. Malek Mansour

We consider a system of stochastic interacting particles in $\mathbb{R}^d$ and we describe large deviations asymptotics in a joint mean-field and small-noise limit. Precisely, a large deviations principle (LDP) is established for the…

Probability · Mathematics 2020-11-17 Carlo Orrieri

We study the breakdown of fluctuation-dissipation relations between time dependent density-density correlations and associated responses following a quench in chemical potential in the Frustrated Ising Lattice Gas. The corresponding slow…

Disordered Systems and Neural Networks · Physics 2009-10-31 Federico Ricci-Tersenghi , Daniel A. Stariolo , Jeferson J. Arenzon

We study the large deviation behavior of a system of diffusing particles with a mean field interaction, described through a collection of stochastic differential equations, in which each particle is driven by a vanishing independent…

Probability · Mathematics 2021-08-10 Amarjit Budhiraja , Michael Conroy

We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation.…

Analysis of PDEs · Mathematics 2020-05-20 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We study dynamical fluctuations in overdamped diffusion processes driven by time periodic forces. This is done by studying fluctuation functionals (rate functions from large deviation theory), of fluctuations around the non-equilibrium…

Statistical Mechanics · Physics 2010-03-18 Navinder Singh , Bram Wynants

We experimentally study the influence of dissipation on the driven Dicke quantum phase transition, realized by coupling external degrees of freedom of a Bose-Einstein condensate to the light field of a high-finesse optical cavity. The…

In order to understand the impact of random influences at physical boundary on the evolution of multiscale systems, a stochastic partial differential equation model under a fast random dynamical boundary condition is investigated. The…

Dynamical Systems · Mathematics 2008-08-07 Wei Wang , Jinqiao Duan

An investigation of the mesoscopic dynamics of chemical systems whose mass action equation gives rise to a deterministic chaotic attractor is carried out. A reactive lattice-gas model for the three-variable autocatalator is used to provide…

chao-dyn · Physics 2009-10-28 Raymond Kapral , Xiao-Guang Wu

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

Statistical Mechanics · Physics 2017-01-05 Thomas Speck

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 the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us…

Analysis of PDEs · Mathematics 2023-04-11 Herbert Egger , Jan Giesselmann

Discontinuous phase transitions out of equilibrium can be characterized by the behavior of macroscopic stochastic currents. But while much is known about the the average current, the situation is much less understood for higher statistics.…

Statistical Mechanics · Physics 2022-01-05 C. E. Fiore , Pedro E. Harunari , C. E. Fernández Noa , Gabriel T. Landi

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida , J. Lebowitz

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

We study the response of a particle current to dissipative dephasing in an interacting, few-body fermionic lattice system. The particles are prepared in the ground state in presence of an artificial magnetic gauge field, which is…

Quantum Gases · Physics 2018-10-02 Kenny Choo , Ulf Bissbort , Dario Poletti

We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

Statistical Mechanics · Physics 2025-10-13 Jiayin Gu , Fan Zhang

We present a field theory for the statistics of charge and current fluctuations in diffusive systems. The cumulant generating function is given by the saddle-point solution for the action of this field theory. The action depends on two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan , Sebastian Pilgram
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