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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…

统计力学 · 物理学 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

统计力学 · 物理学 2020-10-13 Jianzhong Wu

The electrical and heat currents flowing through a quantum dot are calculated in the presence of a time-modulated gate voltage with the help of the out-of-equilibrium Green function technique. From the first harmonics of the currents, we…

介观与纳米尺度物理 · 物理学 2017-09-05 Adeline Crépieux

We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry…

统计力学 · 物理学 2014-10-03 Hans C. Fogedby , Alberto Imparato

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…

统计力学 · 物理学 2015-05-14 T. Bodineau , M. Lagouge

We present a general framework for systems which are prepared in a non-stationary non-equilibrium state in the absence of any perturbation, and which are then further driven through the application of a time-dependent perturbation. We…

统计力学 · 物理学 2012-12-06 Gatien Verley , David Lacoste

We examine the asymmetric simple exclusion process with open boundaries, a paradigm of driven diffusive systems, having a nonequilibrium steady state transition. We provide a full derivation and expanded discussion and digression on results…

统计力学 · 物理学 2009-11-11 Martin Depken , Robin Stinchcombe

We study the distribution of the time-integrated current in an exactly-solvable toy model of heat conduction, both analytically and numerically. The simplicity of the model allows us to derive the full current large deviation function and…

统计力学 · 物理学 2009-11-13 Pablo I. Hurtado , Pedro L. Garrido

The famous Johnson-Nyquist formula relating noise current to conductance has a microscopic generalization relating noise current density to microscopic conductivity, with corollary relations governing noise in the components of the…

计算物理 · 物理学 2013-08-27 M. T. Homer Reid , Alejandro W. Rodriguez , Steven G. Johnson

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…

统计力学 · 物理学 2009-11-13 Sven Dorosz , Michel Pleimling

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

统计力学 · 物理学 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

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…

统计力学 · 物理学 2014-04-25 Marko Znidaric

We introduce from an experimental point of view the main concepts of fluctuation theorems for work, heat and entropy production in out of equilibrium systems. We will discuss the important difference between the applications of these…

统计力学 · 物理学 2015-05-20 Sergio Ciliberto , Sylvain Joubaud , Artem Petrosyan

We study fluctuations of the empirical processes of a non-equilibrium interacting particle system consisting of two species over a domain that is recently introduced in [8] and establish its functional central limit theorem. This…

概率论 · 数学 2021-01-12 Zhen-Qing Chen , Wai-Tong Louis Fan

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

统计力学 · 物理学 2010-09-10 Thomas Speck

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

统计力学 · 物理学 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

介观与纳米尺度物理 · 物理学 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

In this work, we have studied simple models that can be solved analytically to illustrate various fluctuation theorems. These fluctuation theorems provide symmetries individually to the distributions of physical quantities like the…

统计力学 · 物理学 2015-05-20 Mamata Sahoo , Sourabh Lahiri , A. M. Jayannavar

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

统计力学 · 物理学 2017-11-16 Somrita Ray , Andre C. Barato

Using the theory of large deviations, macroscopic fluctuation theory provides a framework to understand the behaviour of non-equilibrium dynamics and steady states in diffusive systems. We extend this framework to a minimal model of…

统计力学 · 物理学 2023-10-02 D. R. Michiel Renger , Upanshu Sharma