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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

The Mpemba effect occurs when two samples at different initial temperatures evolve in such a way that the temperatures cross each other during the relaxation towards equilibrium. In this paper we show the emergence of a Mpemba-like effect…

Statistical Mechanics · Physics 2021-05-17 Rubén Gómez González , Nagi Khalil , Vicente Garzó

When a hot system cools down faster than an equivalent cold one, it exhibits the Mpemba Effect. This counterintuitive phenomenon was observed in several systems including water, magnetic alloys and polymers. In most experiments the system…

Statistical Mechanics · Physics 2023-07-07 Gianluca Teza , Ran Yaacoby , Oren Raz

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…

Soft Condensed Matter · Physics 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

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…

Statistical Mechanics · Physics 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

The quantum Mpemba effect refers to the phenomenon of a quantum system in an initial state, far away from equilibrium, relaxing much faster than a state comparatively nearer to equilibrium. We experimentally demonstrate that this highly…

Quantum Physics · Physics 2025-09-18 Arijit Chatterjee , Sakil Khan , Sachin Jain , T S Mahesh

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

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, 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 Mpemba effect, an example of anomalous thermal relaxations, occurs when a system prepared at a hot temperature overtakes an identical system prepared at a warm temperature and cools down faster to the environment's temperature. We study…

Statistical Mechanics · Physics 2023-08-10 Saikat Bera , Matthew R. Walker , Marija Vucelja

The Mpemba effect is the counterintuitive phenomenon in statistical physics for which a far-from-equilibrium state can relax toward equilibrium faster than a state closer to equilibrium. This effect has raised a great curiosity since long…

Optics · Physics 2024-10-29 Stefano Longhi

When a cup of hot coffee is suddenly put into a cold environment, it cools down as a function of time $t$ until the internal temperature $T_\text{int}$ of the coffee equals the external ambient temperature $T_\text{ext}$. This instantaneous…

Statistical Mechanics · Physics 2026-04-14 Hartmut Löwen

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

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

Numerical reproduction of measurements, experimental evidence for skin super-solidity and hydrogen-bond memory clarified that Mpemba paradox integrates the heat emission-conduction-dissipation dynamics in the source-path-drain cycle system.

Soft Condensed Matter · Physics 2015-01-29 Chang Q Sun

Slow flow of the viscous liquid is a thought-provoking experiment that challenges students, academics and public to think about some fundamental questions in modern science. In the Queensland demonstration, the world-longest running…

We study the conditions under which a Mpemba-like effect emerges in granular gases of inelastic and rough hard disks driven by a class of thermostats characterized by the splitting of the noise intensity into translational and rotational…

Soft Condensed Matter · Physics 2022-10-12 Alberto Megías , Andrés Santos

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

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

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