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Related papers: Injected Power Fluctuations in 1D Dissipative Syst…

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This paper is a generalization of the models considered in [J. Stat. Phys. 128,1365 (2007)]. Using an analogy with free fermions, we compute exactly the large deviation function (ldf) of the energy injected up to time $t$ in a…

Statistical Mechanics · Physics 2009-11-13 Jean Farago , Estelle Pitard

The exact large deviation function (ldf) for the fluctuations of the energy density field is computed for a chain of Ising (or more generally Potts) spins driven by a zero-temperature (dissipative) Glauber dynamics and sustained in a non…

Statistical Mechanics · Physics 2009-11-10 Jean Farago

In this paper, we consider the Langevin equation from an unusual point of view, that is as an archetype for a dissipative system driven out of equilibrium by an external excitation. Using path integral method, we compute exactly the…

Statistical Mechanics · Physics 2015-06-24 Jean Farago

We consider different models of stochastic dissipative equations and theoretically compute the probability distribution functions (actually the associated large deviation functions) of the time averaged injected power required to sustain a…

Statistical Mechanics · Physics 2015-06-24 Jean Farago

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

Statistical Mechanics · Physics 2009-05-06 Claudio Falcón , Eric Falcon

We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the…

Nuclear Theory · Physics 2025-12-16 J. E. Alba-Arroyo , Daniel Pęcak , Michael McNeil Forbes , Gabriel Wlazłowski

Large fluctuations have received considerable attention as they encode information on the fine-scale dynamics. Large deviation relations known as fluctuation theorems also capture crucial nonequilibrium thermodynamical properties. Here we…

Statistical Mechanics · Physics 2010-12-09 David Andrieux

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

Statistical Mechanics · Physics 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

We study the large deviations of the time-integrated current for a driven diffusion on the circle, often used as a model of nonequilibrium systems. We obtain the large deviation functions describing the current fluctuations using a…

Statistical Mechanics · Physics 2016-09-28 Pelerine Tsobgni Nyawo , Hugo Touchette

A granular gas may be modeled as a set of hard-spheres undergoing inelastic collisions; its microscopic dynamics is thus strongly irreversible. As pointed out in several experimental works bearing on turbulent flows or granular materials,…

Statistical Mechanics · Physics 2009-09-29 P. Visco , A. Puglisi , A. Barrat , E. Trizac , F. van Wijland

We study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusion process with rate functional I. We then…

Probability · Mathematics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We consider lattice gas diffusive dynamics with creation-annihilation in the bulk and maintained out of equilibrium by two reservoirs at the boundaries. This stochastic particle system can be viewed as a toy model for granular gases where…

Statistical Mechanics · Physics 2015-05-14 T. Bodineau , M. Lagouge

We analyze the fluctuations of the dissipated energy in a simple and general model where dissipation, diffusion and driving are the key ingredients. The large deviation function for the dissipation follows from hydrodynamic fluctuation…

Statistical Mechanics · Physics 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

We investigate the large deviation function pi(w) for the fluctuations of the power W(t)=w t, integrated over a time t, injected by a homogeneous random driving into a granular gas, in the infinite time limit. Starting from a generalized…

Statistical Mechanics · Physics 2007-05-23 P. Visco , A. Puglisi , A. Barrat , E. Trizac , F. van Wijland

Linear diffusions are used to model a large number of stochastic processes in physics, including small mechanical and electrical systems perturbed by thermal noise, as well as Brownian particles controlled by electrical and optical forces.…

Statistical Mechanics · Physics 2023-05-10 Johan du Buisson , Hugo Touchette

We study abrupt changes in the dynamics and/or steady state of fermionic dissipative systems produced by small changes of the system parameters. Specifically, we consider open fermionic systems whose dynamics is described by master…

Quantum Physics · Physics 2013-02-18 Birger Horstmann , J. Ignacio Cirac , Géza Giedke

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

We present a new technique for efficiently simulating (in polynomial time) a class of one-dimensional (1D) dissipative spin chains that, when mapped to fermions, have quadratic Hamiltonians, with the only nonlinearity coming from…

Quantum Physics · Physics 2025-09-24 Andrew Pocklington , Aashish A. Clerk

Using the large-deviation formalism, we study the statistics of current fluctuations in a diffusive nonequilibrium quantum spin chain. The boundary-driven XX chain with dephasing consists of a coherent bulk hopping and a local dissipative…

Statistical Mechanics · Physics 2014-04-25 Marko Znidaric

A vibrating plate is set into a chaotic state of wave turbulence by either a periodic or a random local forcing. Correlations between the forcing and the local velocity response of the plate at the forcing point are studied. Statistical…

Statistical Mechanics · Physics 2009-11-13 Olivier Cadot , Arezki Boudaoud , Cyril Touzé
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