Projects per year
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 timereversal and orthogonal to the free energy gradient, which act to drive the system away from states where (reversible) gradientdescent dynamics result in slow convergence to equilibrium.
Original language  English 

Journal  Journal of Statistical Physics 
Volume  168 
Issue number  2 
Early online date  18 May 2017 
DOIs  
Publication status  Published  1 Jul 2017 
Fingerprint Dive into the research topics of 'Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance'. Together they form a unique fingerprint.
Projects
 3 Finished

Wolfson Merit Award  Non equilibrium Particles & PDE
Zimmer, J.
1/05/16 → 31/08/20
Project: Research council

A Novel Passage from Particles to PDEs Far From Equilibrium
Zimmer, J.
1/06/14 → 30/11/17
Project: UK charity

Analysis of the Effective Long TimeBehaviour of Molecule Systems
Zimmer, J.
Engineering and Physical Sciences Research Council
16/12/13 → 15/12/16
Project: Research council
Datasets

Data set for "Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed Balance"
Kaiser, M. (Creator), Jack, R. (Creator) & Zimmer, G. (Creator), University of Bath, 1 May 2017
DOI: 10.15125/BATH00365, https://doi.org/10.15125/BATH00349
Dataset
Equipment

High Performance Computing (HPC) Facility
Steven Chapman (Manager)
University of BathFacility/equipment: Facility