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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

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

Mpemba effects (MPEs), where a hotter system cools faster than a colder one, present intriguing anomalies in relaxation processes. Despite their universal observation and significant fundamental and practical implications, a comprehensive…

统计力学 · 物理学 2024-10-22 Naruo Ohga , Hisao Hayakawa , Sosuke Ito

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

We generalize the classical thermal Mpemba effect (where an initially hot system relaxes faster to the final equilibrium state than a cold one) to open quantum systems coupled to several reservoirs. We show that, in general, two different…

统计力学 · 物理学 2024-10-07 Andrea Nava , Reinhold Egger

The behavior of systems far from equilibrium is often complex and unpredictable, challenging and sometimes overturning the physical intuition derived from equilibrium scenarios. One striking example of this is the Mpemba effect, which…

量子物理 · 物理学 2025-04-02 Stefano Longhi

We investigate the Mpemba effect in a dilute sheared granular gas with a velocity-dependent restitution coefficient. Using kinetic theory based on Grad's moment method, we analyze the relaxation dynamics following a sudden change in the…

软凝聚态物质 · 物理学 2026-05-19 Makoto R. Kikuchi , Yuria Kobayashi , Satoshi Takada

The Mpemba effect -- where hot systems cool faster than colder ones -- has intrigued both classical and quantum thermodynamics. As compared to classical systems, quantum systems add complexity due to quantum correlations. Recent works have…

量子物理 · 物理学 2025-12-01 Stefano Longhi

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to…

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

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 counterintuitive Mpemba effect, wherein a hotter system cools faster, critically lacks a general macroscopic theory. Here, starting from linear irreversible thermodynamics, we formulate a generalized Newton's cooling law,…

统计力学 · 物理学 2026-05-21 Yun-Qian Lin , Z. C. Tu , Yu-Han Ma

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, 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

Mpemba effect refers to the counterintuitive phenomenon of a hotter system equilibrating faster than a colder system when both are quenched to the same low temperature. For a Brownian particle trapped in a piece-wise linear single well…

统计力学 · 物理学 2023-05-12 Apurba Biswas , R. Rajesh

The Mpemba effect, broadly understood as the counterintuitive phenomenon in which a system initially farther from equilibrium relaxes faster than a system closer to equilibrium, has been widely studied in classical stochastic systems and,…

量子气体 · 物理学 2026-04-08 Sumita Datta

We study a granular gas of viscoelastic particles (kinetic energy loss upon collision is a function of the particles' relative velocities at impact) subject to a stochastic thermostat. We show that the system displays anomalous cooling and…

软凝聚态物质 · 物理学 2021-06-16 E. Mompó , M. A. López-Castaño , A. Torrente , F. Vega Reyes , A. Lasanta

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

The time evolution of a homogeneous bidisperse granular suspension is studied in the context of the Enskog kinetic equation. The influence of the surrounding viscous gas on the solid particles is modeled via a deterministic viscous drag…

软凝聚态物质 · 物理学 2021-09-24 Rubén Gómez González , Vicente Garzó

Non-equilibrium dynamics have become a central research focus, exemplified by the counterintuitive Mpemba effect where initially hotter systems can cool faster than colder ones. Studied extensively in both classical and quantum regimes,…

量子物理 · 物理学 2025-07-04 Hui Yu , Shuo Liu , Shi-Xin Zhang