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Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

适应与自组织系统 · 物理学 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

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…

统计力学 · 物理学 2007-05-23 Nicolas Garnier , Ciliberto Sergio

Two-dimensional turbulent flows, and to some extent, geophysical flows, are systems with a large number of degrees of freedom, which, albeit fluctuating, exhibit some degree of organization: coherent structures emerge spontaneously at large…

统计力学 · 物理学 2017-03-21 Corentin Herbert

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relationship between fluctuations and dissipation expressed by…

Statistical fluctuation problems are faced by all quantum key distribution (QKD) protocols under finite-key condition. Most of the current statistical fluctuation analysis methods work based on independent random samples, however, the…

量子物理 · 物理学 2016-01-06 Hongxin Li , Haodong Jiang , Ming Gao , Zhi Ma , Chuangui Ma , Wei Wang

Recent investigations of turbulent circulation fluctuations have uncovered substantial insights into the statistical organization of flow structures and revealed unexpected geometric features of turbulent intermittency. Of particular…

Mean-field models of glasses that present a random first order transition exhibit highly non-trivial fluctuations. Building on previous studies that focused on the critical scaling regime, we here obtain a fully quantitative framework for…

无序系统与神经网络 · 物理学 2022-08-09 Giampaolo Folena , Giulio Biroli , Patrick Charbonneau , Yi Hu , Francesco Zamponi

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…

统计力学 · 物理学 2010-03-18 Navinder Singh , Bram Wynants

Condensation of fluctuations is an interesting phenomenon conceptually distinct from condensation on average. One stricking feature is that, contrary to what happens on average, condensation of fluctuations may occurr even in the absence of…

统计力学 · 物理学 2014-07-31 Marco Zannetti , Federico Corberi , Giuseppe Gonnella

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

统计力学 · 物理学 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

统计力学 · 物理学 2023-03-23 Alex Fontana , Ludovic Bellon

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. Their general validity arbitrarily far from equilibrium makes them invaluable in nonequilibrium physics. So far, experimental studies of…

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

介观与纳米尺度物理 · 物理学 2019-09-05 Patrick P. Potts , Peter Samuelsson

Before the thermodynamic limit, macroscopic averages need not commute for a quantum system. As a consequence, aspects of macroscopic fluctuations or of constrained equilibrium require a careful analysis, when dealing with several…

数学物理 · 物理学 2007-05-23 W. De Roeck , C. Maes , K. Netocny

We theoretically investigate fluctuation relations in a classical incomplete measurement process where just partial information is available. The scenario we consider consists of two coupled single-electron boxes where one or both devices…

统计力学 · 物理学 2015-06-23 Massimo Borrelli , Jonne V. Koski , Sabrina Maniscalco , Jukka P. Pekola

Fluctuation relations establish rigorous identities for the nonequilibrium averages of observables. Starting from a general transport master equation with time-dependent rates, we employ the stochastic path integral approach to study…

统计力学 · 物理学 2010-10-21 A. Altland , A. De Martino , R. Egger , B. Narozhny

When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

统计力学 · 物理学 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · 物理学 2008-10-08 G. Gallavotti

We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the…

统计力学 · 物理学 2009-11-13 Erik Van der Straeten , Christian Beck

A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbation from an appropriate time correlation function of the…

数学物理 · 物理学 2019-10-02 Rafail V. Abramov