The Mpemba effect likes to hit a wall
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908977535647744 |
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| author | Liu, Yue Van Vu, Tan Chétrite, Raphaël van Wijland, Frédéric Hayakawa, Hisao |
| author_facet | Liu, Yue Van Vu, Tan Chétrite, Raphaël van Wijland, Frédéric Hayakawa, Hisao |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01543 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Mpemba effect likes to hit a wall Liu, Yue Van Vu, Tan Chétrite, Raphaël van Wijland, Frédéric Hayakawa, Hisao Statistical Mechanics 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. |
| title | The Mpemba effect likes to hit a wall |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.01543 |