The Mpemba effect likes to hit a wall
Statistical Mechanics
2026-04-21 v2
Abstract
The historical Mpemba effect involves a first-order phase transition. This has prompted the experimental realization of microscopic proxies in the form of a colloidal particle trapped in an asymmetric double well, for which the Mpemba effect has indeed been observed. We establish that the existence of the one-dimensional Mpemba effect for a polynomial potential is driven solely by the presence of a hard enough boundary, irrespective of the potential's double-well shape. We then show that the physics of the underlying Mpemba effect is governed not only by single-well physics but also by the high-temperature initial regime.
Cite
@article{arxiv.2604.01543,
title = {The Mpemba effect likes to hit a wall},
author = {Yue Liu and Tan Van Vu and Raphaël Chétrite and Frédéric van Wijland and Hisao Hayakawa},
journal= {arXiv preprint arXiv:2604.01543},
year = {2026}
}