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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.…

Statistical Mechanics · Physics 2025-03-12 Tan Van Vu , Hisao Hayakawa

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…

Statistical Mechanics · Physics 2024-10-22 Naruo Ohga , Hisao Hayakawa , Sosuke Ito

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…

Statistical Mechanics · Physics 2017-09-28 Zhiyue Lu , Oren Raz

The Mpemba effect, in which a hotter system cools faster than a colder one, remains one of the most intriguing anomalies in thermodynamics. Here, we investigate its microscopic origin within the framework of quantum resource theories and…

Quantum Physics · Physics 2026-04-17 Doruk Can Alyürük , Mahir H. Yeşiller , Vlatko Vedral , Onur Pusuluk

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…

Statistical Mechanics · Physics 2019-07-03 Israel Klich , Oren Raz , Ori Hirschberg , Marija Vucelja

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…

Quantum Physics · Physics 2025-04-02 Stefano Longhi

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,…

General Physics · Physics 2012-12-12 Vladan Pankovic , Darko V. Kapor

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…

Statistical Mechanics · Physics 2024-07-03 Colin Rylands , Katja Klobas , Filiberto Ares , Pasquale Calabrese , Sara Murciano , Bruno Bertini

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…

Statistical Mechanics · Physics 2025-07-08 Koudai Sugimoto , Tomotaka Kuwahara , Keiji Saito

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…

Soft Condensed Matter · Physics 2024-04-26 Andrés Santos

Quantum thermometry provides a key capability for nanoscale devices and quantum technologies, but most existing strategies rely on probes initialized near equilibrium. This equilibrium paradigm imposes intrinsic limitations: sensitivity is…

Quantum Physics · Physics 2026-01-09 Pritam Chattopadhyay , Jonas F. G. Santos , Avijit Misra

Under certain conditions, two samples of fluid at different initial temperatures present a counterintuitive behavior known as the Mpemba effect: it is the hotter system that cools sooner. Here, we show that the Mpemba effect is present in…

Soft Condensed Matter · Physics 2017-10-06 Antonio Lasanta , Francisco Vega Reyes , Antonio Prados , Andrés Santos

The Mpemba effect (a counterintuitive thermal relaxation process where an initially hotter system may cool down to the steady state sooner than an initially colder system) is studied in terms of a model of inertial suspensions under shear.…

Statistical Mechanics · Physics 2021-03-10 Satoshi Takada , Hisao Hayakawa , Andrés Santos

The Mpemba effect, where a hotter system can equilibrate faster than a cooler one, has long been a subject of fascination in classical physics. In the past few years, significant theoretical and experimental progress has been made in…

Statistical Mechanics · Physics 2025-09-10 Filiberto Ares , Pasquale Calabrese , Sara Murciano

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…

Soft Condensed Matter · Physics 2026-02-05 Alexander P. Antonov , Hartmut Löwen

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…

Materials Science · Physics 2019-09-11 A. Gijón , A. Lasanta , E. R. Hernández

The Mpemba and Kovacs effects are two notable memory phenomena observed in nonequilibrium relaxation processes. In a recent study [Phys.~Rev.~E \textbf{109}, 044149 (2024)], these effects were analyzed within the framework of the…

Statistical Mechanics · Physics 2025-05-13 Andrés Santos

Most of our intuition about the behavior of physical systems is shaped by observations at or near thermal equilibrium. However, even a thermal quench can lead to states far from thermal equilibrium, where counterintuitive, anomalous effects…

Statistical Mechanics · Physics 2025-12-11 Gianluca Teza , John Bechhoefer , Antonio Lasanta , Oren Raz , Marija Vucelja

The Mpemba effect refers to systems whose thermal relaxation time is a non-monotonic function of the initial temperature. Thus, a system that is initially hot cools to a bath temperature more quickly than the same system, initially warm. In…

Statistical Mechanics · Physics 2021-03-31 Raphaël Chétrite , Avinash Kumar , John Bechhoefer

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…

Soft Condensed Matter · Physics 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados
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