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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

The quantum Mpemba effect is a phenomenon characterized by an exponential relaxation from a non-equililbrium state to a steady state. This effect was predicted with an analysis of the Liouvillian superoperator and experimentally…

The quantum Mpemba effect (QMpE) describes an anomalous thermalization phenomenon in which quantum states initially far from equilibrium can approach thermal equilibrium faster than states that begin closer to it. While this effect has been…

Quantum Physics · Physics 2026-05-06 Zi-Shen Li , Yuxiang Yang

Anomalous temperature dependence of heat capacity of glassy systems during a cooling-heating cycle has remained an ill-understood problem for a long time. Most of the features observed in the experimental measurement of the heat capacity of…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

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…

Quantum Physics · Physics 2025-09-12 Zijun Wei , Mingdi Xu , Xiang-Ping Jiang , Haiping Hu , Lei Pan

We consider a mean field model describing the free cooling process of a two component granular mixture, a generalization of so called Maxwell model. The cooling is viewed as an ordering process and the scaling behavior is attributed to the…

Statistical Mechanics · Physics 2009-11-07 Umberto Marini Bettolo Marconi , Andrea Puglisi

We demonstrate that the Mpemba paradox arises intrinsically from the release rate of energy initially stored in the covalent H-O part of the O:H-O bond in water albeit experimental conditions. Generally, heating raises the energy of a…

Chemical Physics · Physics 2015-01-29 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

We investigate the quantum Mpemba effect from the perspective of non-equilibrium quantum thermodynamics by studying relaxation dynamics of quantum systems coupled to a Markovian heat bath, which are described by Davies maps. Starting from a…

Quantum Physics · Physics 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

We study the thermalization dynamics of a quantum system embedded in an incommensurate potential and coupled to a Markovian thermal reservoir. The dephasing induced by the bath drives the system toward an infinite-temperature steady state,…

Quantum Physics · Physics 2025-10-16 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

Heat shuttling phenomenon is characterized by the presence of a non-zero heat flow between two bodies without net thermal bias on average. It was initially predicted in the context of nonlinear heat conduction within atomic lattices coupled…

Recently [3] predicted the existence of an intriguing new phenomenon. It was shown that if temperature is suddenly raised at the surface of a sphere the temperature in the interior initially decreases. The authors of [3] gave a thorough…

Soft Condensed Matter · Physics 2011-05-11 J. J. Papini

According to conventional wisdom, a system placed in an environment with a different temperature tends to relax to the temperature of the latter, mediated by the flows of heat and/or matter that are set solely by the temperature difference.…

Statistical Mechanics · Physics 2024-03-18 Miguel Ibáñez , Cai Dieball , Antonio Lasanta , Aljaž Godec , Raúl A. Rica

We study the local relaxation of closed quantum systems through the relative entropy between the reduced density matrix and its long time limit. We show, using analytic arguments combined with numerical checks, that this relative entropy…

Statistical Mechanics · Physics 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese

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 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…

Quantum Physics · Physics 2025-12-01 Carlos Ramon-Escandell , Alessandro Prositto , Dvira Segal

Granular gases are fascinating non-equilibrium systems with interesting features such as spontaneous clustering and non-Gaussian velocity distributions. Mixtures of different components represent a much more natural composition than…

Soft Condensed Matter · Physics 2023-09-11 Dmitry Puzyrev , Torsten Trittel , Kirsten Harth , Ralf Stannarius

The properties of a dilute granular gas in the homogeneous cooling state are mapped to those of a stationary state by means of a change in the time scale that does not involve any internal property of the system. The new representation is…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , F. Moreno

Simulations are reported to investigate solid superheating and liquid supercooling of two-dimensional (2D) systems with a Yukawa interparticle potential. Motivated by experiments where a dusty plasma is heated and then cooled suddenly, we…

Plasma Physics · Physics 2011-04-20 Yan Feng , Bin Liu , J. Goree

We show that an adiabatic increase of the supercurrent along a superconductor with lines of nodes of the order parameter on the Fermi surface can result in a cooling effect. The maximum cooling occurs if the supercurrent increases up to its…

Superconductivity · Physics 2009-11-07 Anatoly Svidzinsky

Wet granular materials are characterized by a defined bond energy in their particle interaction such that breaking a bond implies an irreversible loss of a fixed amount of energy. Associated with the bond energy is a nonequilibrium…

Soft Condensed Matter · Physics 2009-05-15 Stephan Ulrich , Timo Aspelmeier , Klaus Roeller , Axel Fingerle , Stephan Herminghaus , Annette Zippelius
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