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The "Mpemba effect" is the name given to the assertion that hot water freezes quicker than cold water1 or, in a modern and more general form, that the system that is initially more distant from its equilibrium state comes to this state…

化学物理 · 物理学 2025-08-08 Andrei A. Klimov , Alexei V. Finkelstein

The traditional Mpemba effect refers to an anomalous cooling phenomenon when an initial hotter system cools down faster than an initial warm system. Such counterintuitive behavior has been confirmed and explored across phase transitions in…

软凝聚态物质 · 物理学 2026-02-05 Alexander P. Antonov , Hartmut Löwen

Loosely speaking, the Mpemba effect appears when hotter systems cool sooner or, in a more abstract way, when systems further from equilibrium relax faster. In this paper, we investigate the Mpemba effect in a molecular gas with nonlinear…

软凝聚态物质 · 物理学 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados

The quantum Mpemba effect (QME) is a phenomenon observed in many-body systems where initial systems configurations farther from equilibrium can be observed to equilibrate faster than configurations that are closer to it. By considering…

量子物理 · 物理学 2026-04-14 Matthew Mackinnon , Mauro Paternostro

Anomalous thermal relaxation is ubiquitous in nonequilibrium statistical mechanics. An emblematic example of this is the Mpemba effect, where an initially ``hot'' system cools faster than an initially ``cooler'' one. This effect has…

量子物理 · 物理学 2025-07-04 Ivan Medina , Oisín Culhane , Felix C. Binder , Gabriel T. Landi , John Goold

Despite extensive research, the fundamental physical mechanisms underlying the Mpemba effect, a phenomenon where a substance cools faster after initially being heated, remain elusive. Although historically linked with water, the Mpemba…

软凝聚态物质 · 物理学 2024-04-26 Andrés Santos

The quantum Mpemba effect is a phenomenon characterized by an exponential relaxation from a non-equililbrium state to a steady state. This effect was predicted with an analysis of the Liouvillian superoperator and experimentally…

The Mpemba effect (MpE), where a far-from-equilibrium state of a system relaxes faster compared to a state closer to it, is a well-known counterintuitive phenomenon in classical and quantum systems. Various system-specific theories have…

量子物理 · 物理学 2025-12-11 Gourab Das

The Mpemba effect, where a state prepared farther from equilibrium relaxes faster to equilibrium than one prepared closer, has a quantum counterpart where relaxation is resolved by conserved charge. However, the fate of the quantum Mpemba…

量子物理 · 物理学 2025-12-09 Han-Ze Li , Ching Hua Lee , Shuo Liu , Shi-Xin Zhang , Jian-Xin Zhong

The Mpemba effect describes the phenomenon that a system at a hot initial temperature cools faster than at an initial warm temperature in the same environment. Such an anomalous cooling has recently been predicted and realized for trapped…

软凝聚态物质 · 物理学 2024-06-28 Isha Malhotra , Hartmut Löwen

As the temperature of a cooling object decreases as it relaxes to thermal equilibrium, it is intuitively assumed that a hot object should take longer to cool than a warm one. Yet, some 2,300 years ago, Aristotle observed that "to cool hot…

统计力学 · 物理学 2020-08-07 Avinash Kumar , John Bechhoefer

The quantum Mpemba effect (QMpE) describes an anomalous thermalization phenomenon in which quantum states initially far from equilibrium can approach thermal equilibrium faster than states that begin closer to it. While this effect has been…

量子物理 · 物理学 2026-05-06 Zi-Shen Li , Yuxiang Yang

The Mpemba effect has initially been noticed in macroscopic systems -- namely that hot water can freeze faster than cold water -- but recently its extension to open quantum systems has attracted significant attention. This phenomenon can be…

介观与纳米尺度物理 · 物理学 2025-04-08 Juliane Graf , Janine Splettstoesser , Juliette Monsel

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…

经典物理 · 物理学 2026-03-17 Philippe Ben-Abdallah

In this work we suggest a simple theoretical solution of the Mpemba effect in full agreement with known experimental data. This solution follows simply as an especial approximation (linearization) of the usual heat (transfer) equation,…

综合物理 · 物理学 2012-12-12 Vladan Pankovic , Darko V. Kapor

The Mpemba effect is a fingerprint of the anomalous relaxation phenomenon wherein an initially hotter system equilibrates faster than an initially colder system when both are quenched to the same low temperature. Experiments on a single…

统计力学 · 物理学 2023-08-16 Apurba Biswas , R. Rajesh , Arnab Pal

Various exotic phenomena emerge in non-equilibrium quantum many-body systems. The Mpemba effect, denoting the situation where a hot system freezes faster than the colder one, is a counterintuitive non-equilibrium phenomenon that has…

强关联电子 · 物理学 2026-03-13 Wei-Xuan Chang , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

The Quantum Mpemba Effect (QME) -- the counter-intuitive phenomenon where states further from equilibrium can relax faster than those closer to it -- challenges standard expectations of quantum thermalization. In this work, we introduce…

高能物理 - 理论 · 物理学 2025-09-11 Cameron Beetar , Jeff Murugan , Hendrik J. R. van Zyl

The Mpemba effect, where a state farther from equilibrium relaxes faster than one closer to it, is a striking phenomenon in both classical and quantum systems. In open quantum systems, however, the quantum Mpemba effect (QME) typically…

量子物理 · 物理学 2025-11-07 Yaru Liu , Yucheng Wang

We study the local relaxation of closed quantum systems through the relative entropy between the reduced density matrix and its long time limit. We show, using analytic arguments combined with numerical checks, that this relative entropy…

统计力学 · 物理学 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese