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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…

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

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.…

Quantum Physics · Physics 2024-10-15 Xuanhua Wang , Jin Wang

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

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

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,…

Quantum Gases · Physics 2026-04-08 Sumita Datta

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,…

Statistical Mechanics · Physics 2026-05-21 Yun-Qian Lin , Z. C. Tu , Yu-Han Ma

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

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, 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…

Classical Physics · Physics 2026-03-17 Philippe Ben-Abdallah

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…

Quantum Physics · Physics 2025-12-01 Stefano Longhi

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

Mpemba effect refers to the counterintuitive effect where a system which is initially further from the final steady state equilibrates faster than an identical system that is initially closer. The closeness to the final state is defined in…

Statistical Mechanics · Physics 2023-03-21 Apurba Biswas , V . V. Prasad , R. Rajesh

Quantum Mpemba effect occurs when a quantum system, residing far away from the steady state, relaxes faster than a relatively nearer state. We look for the presence of this highly counterintuitive effect in the relaxation dynamics of the…

Statistical Mechanics · Physics 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

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…

Statistical Mechanics · Physics 2024-10-07 Andrea Nava , Reinhold Egger

We explore the role of activity in the occurrence of the Mpemba effect within a system of an active colloid diffusing in a potential landscape devoid of metastable minimum. The Mpemba effect is characterized by a phenomenon where a hotter…

Statistical Mechanics · Physics 2025-05-27 Apurba Biswas , R. Rajesh

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…

Soft Condensed Matter · Physics 2024-06-28 Isha Malhotra , Hartmut Löwen

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

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…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Juliane Graf , Janine Splettstoesser , Juliette Monsel

We consider the thermal relaxation of a particle in a piecewise-constant potential landscape subject to thermal fluctuations in the overdamped limit. We study the connection between the occurrence of the Mpemba effect, the presence of…

Statistical Mechanics · Physics 2021-12-08 Matthew Walker , Marija Vucelja

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,…

Quantum Physics · Physics 2025-07-04 Hui Yu , Shuo Liu , Shi-Xin Zhang