Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed BalanceReportar como inadecuado




Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed Balance - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Journal of Statistical Physics

, Volume 168, Issue 2, pp 259–287

First Online: 18 May 2017Received: 22 November 2016Accepted: 02 May 2017

Abstract

We analyse and interpret the effects of breaking detailed balance on the convergence to equilibrium of conservative interacting particle systems and their hydrodynamic scaling limits. For finite systems of interacting particles, we review existing results showing that irreversible processes converge faster to their steady state than reversible ones. We show how this behaviour appears in the hydrodynamic limit of such processes, as described by macroscopic fluctuation theory, and we provide a quantitative expression for the acceleration of convergence in this setting. We give a geometrical interpretation of this acceleration, in terms of currents that are antisymmetric under time-reversal and orthogonal to the free energy gradient, which act to drive the system away from states where reversible gradient-descent dynamics result in slow convergence to equilibrium.

KeywordsConvergence to equilibrium Non-equilibrium processes Zero-range process Macroscopic Fluctuation Theory Large deviations  Download fulltext PDF



Autor: Marcus Kaiser - Robert L. Jack - Johannes Zimmer

Fuente: https://link.springer.com/







Documentos relacionados