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Bibliographic Details
Main Authors: Liu, Yue, Van Vu, Tan, Chétrite, Raphaël, van Wijland, Frédéric, Hayakawa, Hisao
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.01543
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Table of Contents:
  • 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.