Thermodynamic entropy production fluctuation in a two-dimensional shear flow model.
TLDR
Investigation of fluctuations in the momentum flux across a surface perpendicular to the velocity gradient in a stationary shear flow maintained by either thermostated deterministic or by stochastic boundary conditions finds the latter appear to satisfy a modified fluctuation relation.Abstract:
We investigate fluctuations in the momentum flux across a surface perpendicular to the velocity gradient in a stationary shear flow maintained by either thermostated deterministic or by stochastic boundary conditions. In the deterministic system the fluctuation relation for the probability of large deviations, which holds for the phase space volume contraction giving the Gibbs ensemble entropy production, never seems to hold for the flux which gives the hydrodynamic entropy production. In the stochastic case the fluctuation relation is found to hold for the total flux, as predicted by various exact results, but not for the flux across part of the surface. The latter appear to satisfy a modified fluctuation relation. Similar results are obtained for the heat flux in a steady state produced by stochastic boundaries at different temperatures.read more
Citations
More filters
Journal ArticleDOI
The Fluctuation Theorem
Denis J. Evans,Debra J. Searles +1 more
TL;DR: The Fluctuation Theorem (FT) as discussed by the authors gives an analytical expression for the probability of observing Second Law violating dynamicaluctuations in thermostatted dissipative non-equilibrium systems.
Journal ArticleDOI
Fluctuation Theorems
TL;DR: Fluctuation theorems as discussed by the authors describe the statistical fluctuations in time-averaged properties of many-particle systems such as fluids driven to nonequilibrium states, and provide some of the very few analytical expressions that describe none-ilibrium states Quantitative predictions on fluctuations in small systems that are monitored over short periods can also be made.
Journal ArticleDOI
Extraordinary transmission of metal films with arrays of subwavelength holes.
TL;DR: Meshes present a new opportunity to integrate SPs with experiments and devices-a new instrument in the toolbox of SP techniques that may broaden the range of SP applications.
Journal ArticleDOI
Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms
TL;DR: In this article, the links among the different approaches and the limitations of these approaches are not fully understood, providing: (a) analysis of the theoretical models; (b) discussion of the rigorous mathematical results; (c) identification of the physical mechanisms underlying the validity of theoretical predictions, for a wide range of phenomena.
Journal ArticleDOI
Non-equilibrium work relations
TL;DR: In this paper, a brief review of recently derived relations describing the behaviour of systems far from equilibrium is given, including the fluctuation theorem, Jarzynski's and Crooks' equalities, and an extended form of the second principle for general steady states.
References
More filters
Journal ArticleDOI
Probability of second law violations in shearing steady states.
TL;DR: An expression for the probability of fluctuations in the shear stress of a fluid in a nonequilibrium steady state far from equilibrium is given and a formula for the ratio that, for a finite time, theShear stress reverse sign is violating the second law of thermodynamics.
Journal ArticleDOI
A gallavotti-cohen-type symmetry in the large deviation functional for stochastic dynamics
Joel L. Lebowitz,Herbert Spohn +1 more
TL;DR: In this article, the authors extend the work of Kurchan on the Gallavotti-Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes.
Journal ArticleDOI
Fluctuation theorem for stochastic dynamics
TL;DR: In this paper, a nonlinear fluctuation-dissipation theorem valid for equilibrium systems perturbed by arbitrarily strong fields is given for systems undergoing Langevin dynamics, where all non-trivial ergodic theory issues are bypassed and the theorem takes a particularly simple form.
Journal ArticleDOI
Dynamical ensembles in stationary states
TL;DR: In this paper, a chaotic hypothesis for reversible dissipative many-particle systems in nonequilibrium stationary states in general is proposed, which leads to the identification of a unique distribution μ describing the asymptotic properties of the system for initial data randomly chosen with respect to a uniform distribution on phase space.
Journal ArticleDOI
The Fluctuation Theorem as a Gibbs Property
TL;DR: In this article, the Gallavotti-Cohen fluctuation theorem is interpreted as a Gibbs property, as follows from the very definition of Gibbs state, and a local version of fluctuation is derived for some class of spatially extended stochastic dynamics.