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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

We investigate the direct and inverse Mpemba effects within the framework of the time-delayed Newton's law of cooling by introducing and analyzing the Descartes protocol, a three-reservoir thermal scheme in which each sample undergoes a…

统计力学 · 物理学 2026-04-09 Andrés Santos

The Mpemba effect, where a system initially farther from equilibrium relaxes faster than one closer to equilibrium, has been extensively studied in classical systems and recently explored in quantum settings. While previous studies of the…

量子物理 · 物理学 2025-09-30 Tanmay Bhore , Lei Su , Ivar Martin , Aashish A. Clerk , Zlatko Papić

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

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 occurs when a system prepared at a hot temperature cools down faster to the bath temperature than an identical system starting at a warm temperature. We derive the condition for the Mpemba effect in the small-diffusion…

统计力学 · 物理学 2023-05-31 Matthew R. Walker , Marija Vucelja

The Quantum Mpemba Effect (QME) is the quantum counterpart of the classical Mpemba effect--a counterintuitive phenomenon in which a system initially at a higher temperature relax to thermal eauilibrium faster than one at a lower…

量子物理 · 物理学 2025-09-12 Zijun Wei , Mingdi Xu , Xiang-Ping Jiang , Haiping Hu , Lei Pan

The Mpemba effect and its inverse can be understood as a result of nonequilibrium thermodynamics. In polymers, changes of state are generally non-equilibrium processes. However, the Mpemba effect has been rarely reported in the…

软凝聚态物质 · 物理学 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

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…

统计力学 · 物理学 2021-12-08 Matthew Walker , Marija Vucelja

We study the nature of thermalization dynamics and the associated preparation (simulation) time under the repeated interaction protocol uncovering a generic anomalous, Mpemba-like trend. As a case study, we focus on a three-level system and…

量子物理 · 物理学 2025-12-01 Carlos Ramon-Escandell , Alessandro Prositto , Dvira Segal

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

Non-equilibrium dynamics of quantum many-body systems has attracted increasing attention owing to a variety of intriguing phenomena absent in equilibrium physics. A prominent example is the quantum Mpemba effect, where subsystem symmetry is…

无序系统与神经网络 · 物理学 2026-01-09 Shuo Liu , Hao-Kai Zhang , Shuai Yin , Shi-Xin Zhang , Hong Yao

We study the Mpemba effect on a non-equilibrium Markov chain that mimics the run and tumble motion of an active particle in a discrete energy landscape. The broken detailed balance, rendered by the activity, gives rise to a unique anomalous…

统计力学 · 物理学 2025-05-28 Apurba Biswas , Arnab Pal

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

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence or absence of gravity. The coefficient of restitution used here depends on the impact velocity by taking…

其他凝聚态物理 · 物理学 2007-05-23 Sean Mcnamara , Eric Falcon

We find analytically the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a counter-intuitive relaxation phenomenon, called the Mpemba…

数学物理 · 物理学 2019-02-07 Israel Klich , Marija Vucelja

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 is a counter-intuitive phenomena in which a hot system reaches a cold temperature faster than a colder system, under otherwise identical conditions. Here we propose a quantum analog of the Mpemba effect, on the simplest…

We investigate the quantum Mpemba effect in a dissipative Dicke model, which consists of a spin-1/2 ensemble coupled to a bosonic mode, which in turn is coupled to a bosonic bath. We derive a sufficient criterion for occurrence of the…

量子物理 · 物理学 2026-01-01 Arunabha Das , Paranjoy Chaki , Priya Ghosh , Ujjwal Sen

We investigate the cooling rate of a gas of inelastically interacting particles. When we assume velocity dependent coefficients of restitution the material cools down slower than with constant restitution. This behavior might have large…

统计力学 · 物理学 2009-10-30 Thomas Schwager , Thorsten Poeschel