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We consider the zero frequency fluctuations of charge inside a mesoscopic conductor in the large capacitance limit. In analogy to current counting statistics we derive the characteristic function of charge fluctuations in terms of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , M. Buttiker

In this work we perform theoretical analysis about a coupled RC circuit with constant driven currents. Starting from stochastic differential equations, where voltages are subject to thermal noises, we derive time-correlation functions,…

Statistical Mechanics · Physics 2016-03-23 K. -H. Chiang , C. -W. Chou , C. -L. Lee , P. -Y. Lai , Y. -F. Chen

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

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

The nonequilibrium short-time critical behaviors of driven and undriven lattice gases are investigated via Monte Carlo simulations in two spatial dimensions starting from a fully disordered initial configuration. In particular, we study the…

Statistical Mechanics · Physics 2017-02-16 Urna Basu , Valerio Volpati , Sergio Caracciolo , Andrea Gambassi

For a many-particle system with long-range interactions and evolving under stochastic dynamics, we study for the first time the out-of-equilibrium fluctuations of the work done on the system by a time-dependent external force. For…

Statistical Mechanics · Physics 2016-04-19 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

The additivity principle allows to compute the current distribution in many one-dimensional (1D) nonequilibrium systems. Using simulations, we confirm this conjecture in the 1D Kipnis-Marchioro-Presutti model of heat conduction for a wide…

Statistical Mechanics · Physics 2015-05-13 Pablo I. Hurtado , Pedro L. Garrido

We connect two recent advances in the stochastic analysis of nonequilibrium systems: the (loose) uncertainty principle for the currents, which states that statistical errors are bounded by thermodynamic dissipation; and the analysis of…

Statistical Mechanics · Physics 2016-11-04 M. Polettini , A. Lazarescu , M. Esposito

The driven state of a well-ordered flux line lattice in a single crystal of 2H-NbSe2 in the time domain has revealed the presence of substantial fluctuations in velocity, with large and distinct time periods (~ seconds). A superposition of…

Superconductivity · Physics 2015-05-14 Shyam Mohan , Jaivardhan Sinha , S. S. Banerjee , A. K. Sood , S. Ramakrishnan , A. K. Grover

The persistent current in a mesoscopic ring has a Gaussian distribution with small non-Gaussian corrections. Here we report a semiclassical calculation of the leading non-Gaussian correction, which is described by the three-point…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Piet W. Brouwer , Jeroen Danon

We study the total particle current fluctuations in a one-dimensional stochastic system of classical particles consisting of branching and death processes which is a variant of asymmetric zero-temperature Glauber dynamics. The full spectrum…

Statistical Mechanics · Physics 2014-03-07 S. R. Masharian , P. Torkaman , F. H. Jafarpour

Coarse-grained models are widely used to explain the effective behavior of partially observable physical systems with hidden degrees of freedom. Reduction procedures in state space typically disrupt Markovianity and a fluctuation relation…

Statistical Mechanics · Physics 2024-09-24 Alberto Garilli , Pedro E. Harunari , Matteo Polettini

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

Statistical Mechanics · Physics 2015-06-03 Richard E. Spinney , Ian J. Ford

We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium…

Statistical Mechanics · Physics 2024-02-06 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Enej Ilievski , Tomaž Prosen

We consider the statistics of volume fluctuations in a one-dimensional classical gas of non-interacting particles confined by a piston, and subjected to an arbitrary external potential. We show that despite the absence of interactions…

Statistical Mechanics · Physics 2008-07-29 Eric Bertin , Maxime Clusel , Peter C. W. Holdsworth

The second law of thermodynamics posits that in closed macroscopic systems the rate of entropy production must be positive. However, small systems can exhibit negative entropy production over short timescales, seemingly in contradiction…

Quantum Gases · Physics 2023-08-08 Rama Sharma , Tapio P. Simula , Andrew J. Groszek

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

Statistical Mechanics · Physics 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

This article reports on an experimental study of the fluctuations of energy flux between a granular gas and a small driven harmonic oscillator. The DC-motor driving this system is used simultaneously as actuator and probe. The statistics of…

Statistical Mechanics · Physics 2011-12-12 Antoine Naert

The fluctuation relations have received considerable attention since their emergence and development in the 1990s. We present a summary of the main results and suggest ways to interpret this material. Starting with a consideration of the…

Statistical Mechanics · Physics 2012-02-01 Richard E. Spinney , Ian J. Ford

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

Statistical Mechanics · Physics 2016-11-23 Tridib Sadhu , Bernard Derrida