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Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon - the "Mpemba Effect" - is well known in water, and has recently been observed in other…

统计力学 · 物理学 2017-09-28 Zhiyue Lu , Oren Raz

The Mpemba effect is a counter-intuitive relaxation phenomenon, where a system prepared at a hot temperature cools down faster than an identical system initiated at a cold temperature when both are quenched to an even colder bath. Such…

统计力学 · 物理学 2019-07-03 Israel Klich , Oren Raz , Ori Hirschberg , Marija Vucelja

The Mpemba effect denotes an anomalous relaxation phenomenon where a system initially at a hot temperature cools faster than a system that starts at a less elevated temperature. We introduce an isothermal analog of this effect for a system…

统计力学 · 物理学 2022-09-02 Julius Degünther , Udo Seifert

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 is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In recent years, theoretical analyses of the Mpemba effect have been developed for microscopic systems and experimentally verified.…

统计力学 · 物理学 2025-03-12 Tan Van Vu , Hisao Hayakawa

Ergodicity-breaking and slow relaxation are intriguing aspects of nonequilibrium dynamics both in classical and in quantum settings. These phenomena are typically associated with phase transitions, e.g. the emergence of metastable regimes…

量子物理 · 物理学 2021-08-11 Federico Carollo , Antonio Lasanta , Igor Lesanovsky

Since it's rediscovery in the twentieth century, the Mpemba effect, where a far-from-equilibrium state may relax faster than a state closer to equilibrium, has been extensively studied in classical systems and has recently received…

量子物理 · 物理学 2026-01-16 David J. Strachan , Archak Purkayastha , Stephen R. Clark

The classical Mpemba effect is the counterintuitive phenomenon where hotter water freezes faster than colder water due to the breakdown of Newton's law of cooling after a sudden temperature quench. The genuine nonequilibrium post-quench…

量子物理 · 物理学 2026-05-01 Marco Peluso , Reinhold Egger , Andrea Nava

The inverse Mpemba effect is a counterintuitive phenomenon in which a system, initially in thermal equilibrium and prepared at different temperatures below that of the final equilibrium state, relaxes to the final state more rapidly when…

统计力学 · 物理学 2025-07-08 Koudai Sugimoto , Tomotaka Kuwahara , Keiji Saito

We demonstrate the existence, as well as determine the conditions, of a Mpemba effect - a counterintuitive phenomenon where a hotter system equilibrates faster than a cooler system when quenched to a cold temperature - in anisotropically…

统计力学 · 物理学 2022-03-14 Apurba Biswas , V. V. Prasad , R. Rajesh

Slow relaxation processes spanning widely separated timescales pose fundamental challenges for probing steady-state properties and engineering functional quantum systems, such as quantum heat engines and quantum computing devices. We…

量子物理 · 物理学 2025-10-20 Ruicheng Bao , Zhonghuai Hou

Through an exact analysis, we show the existence of Mpemba effect in an anisotropically driven inelastic Maxwell gas, a simplified model for granular gases, in two dimensions. Mpemba effect refers to the couterintuitive phenomenon of a…

统计力学 · 物理学 2022-02-23 Apurba Biswas , V. V. Prasad , R. Rajesh

We demonstrate the quantum Mpemba effect in a quantum dot coupled to two reservoirs, described by the Anderson model. We show that the system temperatures starting from two different initial values (hot and cold), cross each other at finite…

统计力学 · 物理学 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

The Mpemba effect is a thermodynamic anomaly in which a system farther away in temperature from equilibrium thermalizes before one that is initially closer. The effect has been experimentally observed across a wide range of systems,…

统计力学 · 物理学 2026-03-06 Ido Avitan , Roee Factor , David Gelbwaser-Klimovsky

The Mpemba effect was originally referred to as the faster icing of a higher-temperature system than a lower-temperature system, and was later generalized to anomalous decays of both classical and quantum observables to equilibrium states.…

量子物理 · 物理学 2024-10-15 Xuanhua Wang , Jin Wang

The Mpemba effect, an example of anomalous thermal relaxations, occurs when a system prepared at a hot temperature overtakes an identical system prepared at a warm temperature and cools down faster to the environment's temperature. We study…

统计力学 · 物理学 2023-08-10 Saikat Bera , Matthew R. Walker , Marija Vucelja

The Mpemba Effect can be studied with Markovian dynamics in a non-equilibrium thermodynamics framework. The Markovian Mpemba Effect can be observed in a variety of systems including the Ising model. We demonstrate that the Markovian Mpemba…

无序系统与神经网络 · 物理学 2024-03-26 Felipe Amorim , Joey Wisely , Nathan Buckley , Christiana DiNardo , Daniel Sadasivan

We study connections between optimal transport and anomalous thermal relaxations. A prime example of anomalous thermal relaxations is the Mpemba effect, which occurs when a hot system overtakes an identical warm system and cools down…

统计力学 · 物理学 2023-08-01 Matthew R. Walker , Saikat Bera , Marija Vucelja

The so-called Mpemba effect, i.e. the observation that the warmer of two otherwise identical systems cools faster when both are refrigerated in the same thermal reservoir, is a hotly debated topic in condensed mater physics and statistical…

材料科学 · 物理学 2019-09-11 A. Gijón , A. Lasanta , E. R. Hernández

The highly complicated nature of far from equilibrium systems can lead to a complete breakdown of the physical intuition developed in equilibrium. A famous example of this is the Mpemba effect, which states that non-equilibrium states may…

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