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Large deviations quantify the occurrence of events that depart from the average behavior of a system. In this note we derive an exact expression for their moment generating function. This expression offers a new tool to investigate the…

Statistical Mechanics · Physics 2016-04-19 David Andrieux

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

Employing large deviation theory, we explore current fluctuations of underdamped Brownian motion for the paradigmatic example of a single particle in a one dimensional periodic potential. Two different approaches to the large deviation…

Statistical Mechanics · Physics 2018-03-12 Lukas P. Fischer , Patrick Pietzonka , Udo Seifert

By an extension of the Bethe ansatz method used by Gwa and Spohn, we obtain an exact expression for the large deviation function of the time averaged current for the fully asymmetric exclusion process in a ring containing $N$ sites and $p$…

Condensed Matter · Physics 2009-10-31 B. Derrida , J. L. Lebowitz

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

We study large fluctuations of the current in a Dyson gas, a 1D system of particles interacting through a logarithmic potential and subjected to random noise. We adapt the macroscopic fluctuation theory to the Dyson gas and derive two…

Statistical Mechanics · Physics 2025-06-03 Rahul Dandekar , P. L. Krapivsky , Kirone Mallick

We compute the power spectrum of the noise in the current due to spin motive forces by a fluctuating domain wall. We find that the power spectrum of the noise in the current is colored, and depends on the Gilbert damping, the spin transfer…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. E. Lucassen , R. A. Duine

In XXZ chains, spin transport can be significantly suppressed when the interactions in the chain and the bias of the dissipative driving are large enough. This phenomenon of negative differential conductance is caused by the formation of…

Statistical Mechanics · Physics 2020-10-09 Kang Hao Lee , Vinitha Balachandran , Ryan Tan , Chu Guo , Dario Poletti

We calculate the charge current in a metallic ferromagnet to first order in the time derivative of the magnetization direction. Irrespective of the microscopic details, the result can be expressed in terms of the conductivities of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 R. A. Duine

Theoretical calculations predict the dissipationless circulating current induced by a spin defect in a two-dimensional electron gas with spin-orbit coupling. The shape and spatial extent of these dissipationless circulating currents depend…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Adonai R. da Cruz , Michael E. Flatté

We have considered a one-dimensional coagulation-decoagulation system of classical particles on a finite lattice with reflecting boundaries. It is known that the system undergoes a phase transition from a high-density to a low-density…

Statistical Mechanics · Physics 2013-10-03 Pegah Torkaman , Farhad H. Jafarpour

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

The dynamics of the domain wall (DW) in a biaxial ferromagnet interacting with a spin-polarized current are described by sine-gordon (SG) equation coupled with Gilbert damping term in this paper. Within our frame-work of this model, we…

Mesoscale and Nanoscale Physics · Physics 2012-08-09 Xin Liu , Xiong-Jun Liu , Mo-Lin Ge

We introduce a numerical procedure to evaluate directly the probabilities of large deviations of physical quantities, such as current or density, that are local in time. The large-deviation functions are given in terms of the typical…

Statistical Mechanics · Physics 2009-11-11 Cristian Giardina' , Jorge Kurchan , Luca Peliti

We consider a class of deterministic local collisional dynamics, showing how to approximate them by means of stochastic models and then studying the fluctuations of the current of energy. We show first that the variance of the…

Mathematical Physics · Physics 2015-05-19 Raphael Lefevere , Mauro Mariani , Lorenzo Zambotti

We present a simple Coulomb gas method to calculate analytically the probability of rare events where the maximum eigenvalue of a random matrix is much larger than its typical value. The large deviation function that characterizes this…

Statistical Mechanics · Physics 2009-02-27 Satya N. Majumdar , Massimo Vergassola

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

Mathematical Physics · Physics 2018-03-02 O. F. Dayi , E. Yunt

We study the domain wall motion in a disordered weak ferromagnet, induced by injecting a spin current from a strong ferromagnet. Starting from the spin diffusion equation describing the spin accumulation in the weak ferromagnet, we…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Faluke Aikebaier , Tero T. Heikkilä

Boundary driven quantum master equation for a general inhomogeneous (non-integrable) anisotropic Heisenberg spin $1/2$ chain, or an equivalent nearest neighbor interacting spinless fermion chain, is considered in the presence of a strong…

Strongly Correlated Electrons · Physics 2015-05-04 Zala Lenarčič , Tomaž Prosen

We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanisms (Glauber dynamics). Previous results…

Probability · Mathematics 2010-09-03 T. Bodineau , M. Lagouge
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