Fluctuation theorem applied to the Nosé-Hoover thermostated Lorentz gas

Abstract

We present numerical evidence supporting the validity of the Gallavotti-Cohen Fluctuation Theorem applied to the driven Lorentz gas with Nosé-Hoover thermostating. It is moreover argued that the asymptotic form of the fluctuation formula is independent of the amplitude of the driving force, in the limit where it is small.

arXiv comment4 pages, 3 figures

References in corpus (10)

• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Dynamical ensembles in stationary states
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Ensemble Dependence of the Transient Fluctuation Theorem
• Chaotic Hypothesis, Fluctuation Theorem and singularities
• On the Application of the Gallavotti-Cohen Fluctuation Relation to Thermostatted Steady States Near Equilibrium
• Fluctuation Relation beyond Linear Response Theory
• Fluctuation Formula in the Nose-Hoover thermostated Lorentz gas
• The Nose-hoover thermostated Lorentz gas

Cited by in corpus (11)

• Fluctuations in Nonequilibrium Statistical Mechanics: Models, Mathematical Theory, Physical Mechanisms
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• The Steady State Fluctuation Relation for the Dissipation Function
• Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
• Test of the Fluctuation Relation in lagrangian turbulence on a free surface
• Fluctuation theorem for entropy production during effusion of a relativistic ideal gas
• On the Fluctuation Relation for Nose-Hoover Boundary Thermostated Systems
• Stationary State Fluctuation Theorems for Driven Langevin Systems
• A formulation of the channel capacity of biochemical signaling cascades
• The channel capacity and information density of biochemical signaling cascades
• Nonequilibrium Fluctuations in a Gaussian Galton Board (or Periodic Lorentz Gas) Using Long Periodic Orbits