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In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to…

Statistical Mechanics · Physics 2010-10-13 Udo Seifert , Thomas Speck

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

We argue, physically and formally, that existing diffusive models of noise yield inaccurate microscopic descriptions of nonequilibrium current fluctuations. The theoretical shortfall becomes pronounced in quantum-confined metallic systems,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Green , M. P. Das

The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained. The third correlator of current fluctuations (the skewness of the charge counting distribution) has a…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , M. Reznikov

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems…

Statistical Mechanics · Physics 2015-05-13 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

Quantum shot noise probes the dynamics of charge transfers through a quantum conductor, reflecting whether quasiparticles flow across the conductor in a steady stream, or in syncopated bursts. We have performed high-sensitivity shot noise…

We study fluctuations in diffusion-limited reaction systems driven out of their stationary state. Using a numerically exact method, we investigate fluctuation ratios in various systems which differ by their level of violation of microscopic…

Statistical Mechanics · Physics 2009-11-13 Sven Dorosz , Michel Pleimling

We analyze high-field current fluctuations in degenerate conductors by mapping the electronic Fermi-liquid correlations at equilibrium to their semiclassical non-equilibrium form. Our resulting Boltzmann description is applicable to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

Understanding the physics of non-equilibrium systems remains as one of the major open questions in statistical physics. This problem can be partially handled by investigating macroscopic fluctuations of key magnitudes that characterise the…

Soft Condensed Matter · Physics 2016-11-17 A. Lasanta , Pablo I. Hurtado , A. Prados

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

An equilibrium statistical system is known to be stable if the fluctuations of global observables are normal, when their dispersions are proportional to the number of particles, or to the system volume. A general theorem is rigorously…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

Diffusion processes are widespread in biological and chemical systems, where they play a fundamental role in the exchange of substances at the cellular level and in determining the rate of chemical reactions. Recently, the classical picture…

Soft Condensed Matter · Physics 2015-09-16 Roberto Cerbino , Yifei Sun , Aleksandar Donev , Alberto Vailati

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

Noise is usually a hindrance to signal detection. As stressed by Landauer, however, noise can be an invaluable signal that reveals kinetics of charge particles. Understanding local non-equilibrium electron kinetics at nano-scale is of…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Qianchun Weng , Susumu Komiyama , Zhenghua An , Le Yang , Pingping Chen , Svend-Age Biehs , Yusuke Kajihara , Wei Lu

"\textit{The noise is the signal}"[R. Landauer, Nature \textbf{392}, 658 (1998)] emphasizes the rich information content encoded in fluctuations. This paper assesses the dynamical role of fluctuations of a quantum system driven far from…

Quantum Physics · Physics 2015-03-10 Yi-Jen Chen , Stefan Pabst , Zheng Li , Oriol Vendrell , Robin Santra

Stationary non-equilibrium states describe steady flows through macroscopic systems. Although they represent the simplest generalization of equilibrium states, they exhibit a variety of new phenomena. Within a statistical mechanics…

Statistical Mechanics · Physics 2015-12-18 Lorenzo Bertini , Alberto De Sole , Davide Gabrielli , Giovanni Jona-Lasinio , Claudio Landim

We investigate bias-driven non-equilibrium quantum phase transitions in a paradigmatic quantum-transport setup: an interacting quantum dot coupled to non-interacting metallic leads. Using the Random Phase Approximation, which is exact in…

Strongly Correlated Electrons · Physics 2026-01-29 José F. B. Afonso , Stefan Kirchner , Pedro Ribeiro

Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact that for many-body systems the presence of decoherence is hardly negligible and emerging…

Quantum Physics · Physics 2017-09-21 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer