Violation of detailed balance accelerates relaxation
- 30 August 2013
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 88 (2), 020101
- https://doi.org/10.1103/physreve.88.020101
Abstract
Recent studies have experienced the acceleration of convergence in Markov chain Monte Carlo methods implemented by the systems without detailed balance condition (DBC). However, such advantage of the violation of DBC has not been confirmed in general. We investigate the effect of the absence of DBC on the convergence toward equilibrium. Surprisingly, it is shown that the DBC violation always makes the relaxation faster. Our result implies the existence of a kind of thermodynamic inequality that connects the nonequilibrium process relaxing toward steady state with the relaxation process which has the same probability distribution as its equilibrium state.Keywords
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This publication has 30 references indexed in Scilit:
- Irreversible Monte Carlo algorithms for efficient samplingPhysica D: Nonlinear Phenomena, 2011
- Markov Chain Monte Carlo Method without Detailed BalancePhysical Review Letters, 2010
- Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of StatesPhysical Review Letters, 2001
- Generalized-ensemble algorithms for molecular simulations of biopolymersPeptide Science, 2001
- Replica-exchange molecular dynamics simulation for supercooled liquidsPhysical Review E, 2000
- Exchange Monte Carlo Method and Application to Spin Glass SimulationsJournal of the Physics Society Japan, 1996
- Collective Monte Carlo Updating for Spin SystemsPhysical Review Letters, 1989
- Nonuniversal critical dynamics in Monte Carlo simulationsPhysical Review Letters, 1987
- Dynamics of three-dimensional Ising spin glasses in thermal equilibriumPhysical Review B, 1985
- Equation of State Calculations by Fast Computing MachinesThe Journal of Chemical Physics, 1953