Nonequilibrium thermodynamics of the Markovian Mpemba effect and its inverse.

ABSTRACT: Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon-the "Mpemba effect"-was first observed in water and has recently been reported in other systems. Whereas several detail-dependent explanations were suggested for some of these observations, no common underlying mechanism is known. Using the theoretical framework of nonequilibrium thermodynamics, we present a widely applicable mechanism for a similar effect, the Markovian Mpemba effect, derive a sufficient condition for its appearance, and demonstrate it explicitly in three paradigmatic systems: the Ising model, diffusion dynamics, and a three-state system. In addition, we predict an inverse Markovian Mpemba effect in heating: Under proper con

SUBMITTER: Lu Z 

PROVIDER: S-EPMC5441807 | biostudies-literature | 2017 May

REPOSITORIES: biostudies-literature