28
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect

      Preprint
      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We find the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a counter-intuitive relaxation phenomenon, the Markov chain Mpemba effect. This effect describes situations when upon performing a thermal quench, a system prepared in equilibrium at high temperatures relaxes faster to the bath temperature than a system prepared at a temperature closer to that of the bath. We show that Metropolis dynamics on a complete graph does not support weak nor strong Mpemba effect, however, when the graph is not complete, the effect is possible.

          Related collections

          Most cited references3

          • Record: found
          • Abstract: not found
          • Article: not found

          When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Conformation Directed Mpemba Effect on Polylactide Crystallization

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Lifting—A nonreversible Markov chain Monte Carlo algorithm

                Bookmark

                Author and article information

                Journal
                31 December 2018
                Article
                1812.11962
                faa071aa-ddbc-4814-837f-8ff190473f49

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                math-ph math.MP

                Mathematical physics,Mathematical & Computational physics
                Mathematical physics, Mathematical & Computational physics

                Comments

                Comment on this article