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The name "Mpemba effect" was given to the finding that "If two systems are cooled, the water that starts hotter may freeze first", confirmed by numerous of observations. Now this paradoxical state-ment obtained a more general form "the…

Chemical Physics · Physics 2025-03-31 Alexei V. Finkelstein

Quantum Monte Carlo simulations of a two-component Bose mixture of trapped dipolar atoms of identical masses and dipole moments, provide numerical evidence of de-mixing at low finite temperatures. De-mixing occurs as a consequence of…

Quantum Gases · Physics 2013-05-29 Piyush Jain , Massimo Boninsegni

For quicker formation of ice, before inserting inside a refrigerator, heating up of a body of water can be beneficial. We report first observation of a counterpart of this intriguing fact, referred to as the Mpemba effect (ME), during…

Statistical Mechanics · Physics 2022-10-07 Nalina Vadakkayil , Subir K. Das

The historical Mpemba effect involves a first-order phase transition. This has prompted the experimental realization of microscopic proxies in the form of a colloidal particle trapped in an asymmetric double well, for which the Mpemba…

Statistical Mechanics · Physics 2026-04-21 Yue Liu , Tan Van Vu , Raphaël Chétrite , Frédéric van Wijland , Hisao Hayakawa

Bubble and droplet motion in binary mixtures is studied in weak heat and diffusion fluxes and in gravity by solving the linearized hydrodynamic equations supplemented with appropriate surface boundary conditions. Without gravity, the…

Soft Condensed Matter · Physics 2015-05-13 Akira Onuki

The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking. The effect has been…

Statistical Mechanics · Physics 2024-08-19 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

We derive a simple system of equations to describe the magnetization relaxation of a molecular spin in weak interaction with a thermal bath for the whole temperature domain. Using this for the intermediate temperature domain where the…

Materials Science · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

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 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…

Mathematical Physics · Physics 2019-02-07 Israel Klich , Marija Vucelja

We report anomalous heating in a colloidal system, the first observation of the inverse Mpemba effect, where an initially cold system heats up faster than an identical warm system coupled to the same thermal bath. For an overdamped,…

Statistical Mechanics · Physics 2022-01-28 Avinash Kumar , Raphael Chetrite , John Bechhoefer

I suggest that the origin of the Mpemba effect (the freezing of hot water before cold) is freezing-point depression by solutes, either gaseous or solid, whose solubility decreases with increasing temperature so that they are removed when…

Chemical Physics · Physics 2017-01-30 J. I. Katz

Inspired by responses to the work (arXiv:1310.6514), we solved the one-dimensional, nonlinear Fourier initial and boundary condition problem using the finite element method. Examination of all possible parameters reveals the following: 1.…

Chemical Physics · Physics 2015-01-16 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

The Mpemba Effect can be studied with Markovian dynamics in a non-equilibrium thermodynamics framework. The Markovian Mpemba Effect can be observed in a variety of systems including the Ising model. We demonstrate that the Markovian Mpemba…

Disordered Systems and Neural Networks · Physics 2024-03-26 Felipe Amorim , Joey Wisely , Nathan Buckley , Christiana DiNardo , Daniel Sadasivan

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

We consider the qubit-qutrit model of self-contained quantum refrigerator and observe the quantum Mpemba effect in its cooling. In this system, the qutrit acts as the refrigerator while the qubit is to be cooled. The entire system is…

Quantum Physics · Physics 2026-02-18 Sayan Mondal , Ujjwal Sen

Adding plasticizers is a well-known procedure to reduce the glass transition temperature in polymers. It has been recently shown that this effect shows a non-monotonic dependence on the size of additive molecules [The Journal of Chemical…

Soft Condensed Matter · Physics 2020-06-24 Elias M. Zirdehi , Thomas Voigtmann , Fathollah Varnik

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…

Quantum Physics · Physics 2025-09-30 Tanmay Bhore , Lei Su , Ivar Martin , Aashish A. Clerk , Zlatko Papić

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

The non-equilibrium physics of many-body quantum systems harbors various unconventional phenomena. In this study, we experimentally investigate one of the most puzzling of these phenomena -- the quantum Mpemba effect, where a tilted…

Coherence is an inherently quantum property that deeply affects microscopic processes, including thermalization phenomena. A striking example is the quantum Mpemba effect (QME), in which a system can exhibit anomalous relaxation,…

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