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Condensed Matter > Statistical Mechanics
Title: Relaxation-speed crossover in anharmonic potentials
(Submitted on 16 Jul 2021 (v1), last revised 27 Sep 2021 (this version, v2))
Abstract: In a recent Letter [A. Lapolla and A. Godec, Phys. Rev. Lett. 125, 110602 (2020)], thermal relaxation was observed to occur faster from cold to hot (heating) than from hot to cold (cooling). Here we show that overdamped diffusion in anharmonic potentials generically exhibits both faster heating and faster cooling, depending on the initial temperatures and on the potential's degree of anharmonicity. We draw a relaxation-speed phase diagram that localises the different behaviours in parameter space. In addition to faster-heating and faster-cooling regions, we identify a crossover region in the phase diagram, where heating is initially slower but asymptotically faster than cooling. The structure of the phase diagram is robust against the inclusion of a confining, harmonic term in the potential as well as moderate changes of the measure used to define initially equidistant temperatures.
Submission history
From: Jan Meibohm [view email][v1] Fri, 16 Jul 2021 13:30:24 GMT (223kb,D)
[v2] Mon, 27 Sep 2021 14:34:00 GMT (294kb,D)
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