Mpemba Effect in Many-Body Systems Near Equilibrium
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908889022201856 |
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| author | Ben-Abdallah, Philippe |
| author_facet | Ben-Abdallah, Philippe |
| contents | The Mpemba effect, in which a system initially farther from equilibrium relaxes faster than a closer one, is often associated with nonlinear or far-from-equilibrium dynamics. We show that this effect can arise entirely within the linear-response regime of many-body systems. In reciprocal systems, a uniform Mpemba effect emerges for three or more degrees of freedom via spectral separation of fast and slow modes. Breaking reciprocity renders the relaxation operator non-normal, enabling a strict componentwise Mpemba effect, with the hotter state relaxing faster even in every individual degree of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11707 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mpemba Effect in Many-Body Systems Near Equilibrium Ben-Abdallah, Philippe Classical Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Optics The Mpemba effect, in which a system initially farther from equilibrium relaxes faster than a closer one, is often associated with nonlinear or far-from-equilibrium dynamics. We show that this effect can arise entirely within the linear-response regime of many-body systems. In reciprocal systems, a uniform Mpemba effect emerges for three or more degrees of freedom via spectral separation of fast and slow modes. Breaking reciprocity renders the relaxation operator non-normal, enabling a strict componentwise Mpemba effect, with the hotter state relaxing faster even in every individual degree of freedom. |
| title | Mpemba Effect in Many-Body Systems Near Equilibrium |
| topic | Classical Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2603.11707 |