Kapfer Krauth 2017a

From Werner KRAUTH

(Difference between revisions)
Jump to: navigation, search
Revision as of 09:21, 19 May 2017
Werner (Talk | contribs)

← Previous diff
Current revision
Werner (Talk | contribs)

Line 1: Line 1:
-'''S. C. Kapfer, W. Krauth''' '''''Irreversible local Markov chains with rapid convergence towards equilibrium''''' ''' arXiv:1705.06689 (2017)'''+'''S. C. Kapfer, W. Krauth''' '''''Irreversible local Markov chains with rapid convergence towards equilibrium''''' ''' Physical Review Letters 119, 240603 (2017)'''
=Paper= =Paper=
Line 15: Line 15:
Metropolis acceptance rule extend the irreversible Markov chains discussed here to general pair Metropolis acceptance rule extend the irreversible Markov chains discussed here to general pair
interactions and to higher dimensions. interactions and to higher dimensions.
 +
 +
 +
 +[https://doi.org/10.1103/PhysRevLett.119.240603 DOI: 10.1103/PhysRevLett.119.240603]
 +
 +[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.240603 Published version (subscription needed)]
[http://arxiv.org/pdf/1705.06689 Electronic version (from arXiv)] [http://arxiv.org/pdf/1705.06689 Electronic version (from arXiv)]
 +
 +[http://www.lps.ens.fr/~krauth/images/c/c3/KapferKrauth2017Supplemental.pdf Supplemental material]
=Illustration= =Illustration=

Current revision

S. C. Kapfer, W. Krauth Irreversible local Markov chains with rapid convergence towards equilibrium Physical Review Letters 119, 240603 (2017)

Paper

Abstract We study the continuous one-dimensional hard-sphere model and present irreversible local Markov chains that mix on faster time scales than the reversible heatbath or Metropolis algorithms. The mixing time scales appear to fall into two distinct universality classes, both faster than for reversible local Markov chains. The event-chain algorithm, the infinitesimal limit of one of these Markov chains, belongs to the class presenting the fastest decay. For the lattice-gas limit of the hard-sphere model, reversible local Markov chains correspond to the symmetric simple exclusion process (SEP) with periodic boundary conditions. The two universality classes for irreversible Markov chains are realized by the totally asymmetric simple exclusion process (TASEP), and by a faster variant (lifted TASEP) that we propose here. Lifted Markov chains and the recently introduced factorized Metropolis acceptance rule extend the irreversible Markov chains discussed here to general pair interactions and to higher dimensions.


DOI: 10.1103/PhysRevLett.119.240603

Published version (subscription needed)

Electronic version (from arXiv)

Supplemental material

Illustration

Personal tools