Cumulants and large deviations of the current through non-equilibrium steady states

نویسنده

  • T. Bodineau
چکیده

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the current. For large diffusive systems, we show how the large deviation funtion of the current can be computed using a simple additivity principle. The validity of this additivity principle and the occurence of phase transitions are discussed in the framework of the macroscopic fluctuation theory. Résumé Cumulants et grandes déviations du courant dans des états stationnaires hors équilibre. En généralisant la relation de bilan détaillé à des systèmes maintenus hors équilibre par contact avec deux réservoirs à des températures ou à des densités différentes, nous retrouvons le théorème de fluctuations pour la fonction de grandes déviations du courant. Pour de grands systèmes diffusifs, nous montrons comment la fonction de grandes déviations du courant peut être calculée simplement à l’aide d’un principe d’additivité. La validité de ce principe d’additivité et l’existence de transitions de phase sont discutées dans le cadre d’une théorie des fluctuations à l’échelle macroscopique.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow us to calculate the fluctuations and large deviations of the density and the current in non-equilibrium steady states of systems like exclusion processes. The...

متن کامل

Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and driven out of equilibrium by non-conservative forces. We focus on the probabilities of rare events (large deviations). First, we discuss a PT (parity-time) sym...

متن کامل

Current Large Deviations for Asymmetric Exclusion Processes with Open Boundaries

Recently, a theory has been developed to describe the current fluctuations of diffusive stochastic gas in their non-equilibrium steady state.(4,6,7,8,9,25,32) The large deviation functional of the current can be obtained in terms of a difficult variational problem; namely one needs to find the most likely time dependent density profile conditionally to the value of the current. So far some conc...

متن کامل

Transport Far From Equilibrium — Uniform Shear Flow

The BGK model kinetic equation is applied to spatially inhomogeneous states near steady uniform shear flow. The shear rate of the reference steady state can be large so the states considered include those very far from equilibrium. The single particle distribution function is calculated exactly to first order in the deviations of the hydrodynamic field gradients from their values in the referen...

متن کامل

Impact of Silicon Wafer Orientation on the Performance of Metal Source/Drain MOSFET in Nanoscale Regime: a Numerical Study

A comprehensive study of Schottky barrier MOSFET (SBMOSFET) scaling issue is performed to determine the role of wafer orientation and structural parameters on the performance of this device within Non-equilibrium Green's Function formalism. Quantum confinement increases the effective Schottky barrier height (SBH). (100) orientation provides lower effective Schottky barrier height in compa...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008