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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

Mpemba effects occur after a sudden quench of control parameters if for ''far'' (or ''hot'') initial states with respect to a final target state, the relaxation time toward the target state is shorter than for ''close'' (or ''cold'')…

量子物理 · 物理学 2025-10-06 Andrea Nava , Reinhold Egger

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to…

Via molecular dynamics simulations we study ICE formation in the TIP4P/Ice model that is known to describe structure and dynamics in various phases of WATER accurately. For this purpose well equilibrated configurations from different…

统计力学 · 物理学 2024-07-10 Soumik Ghosh , Purnendu Pathak , Sohini Chatterjee , Subir K. Das

A hot Markovian system can cool down faster than a colder one: this is known as the Mpemba effect. Here, we show that a non-equilibrium driving via stochastic reset can induce this phenomenon, when absent. Moreover, we derive an optimal…

统计力学 · 物理学 2021-10-08 Daniel Maria Busiello , Deepak Gupta , Amos Maritan

The Mpemba effect (MpE), where a far-from-equilibrium state of a system relaxes faster compared to a state closer to it, is a well-known counterintuitive phenomenon in classical and quantum systems. Various system-specific theories have…

量子物理 · 物理学 2025-12-11 Gourab Das

The Mpemba effect, where a state farther from equilibrium relaxes faster than one closer to it, is a striking phenomenon in both classical and quantum systems. In open quantum systems, however, the quantum Mpemba effect (QME) typically…

量子物理 · 物理学 2025-11-07 Yaru Liu , Yucheng Wang

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 originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones. This effect has since been generalized to other anomalous relaxation behaviors…

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…

量子物理 · 物理学 2026-02-18 Sayan Mondal , Ujjwal Sen

Anomalous thermal relaxation is ubiquitous in nonequilibrium statistical mechanics. An emblematic example of this is the Mpemba effect, where an initially ``hot'' system cools faster than an initially ``cooler'' one. This effect has…

量子物理 · 物理学 2025-07-04 Ivan Medina , Oisín Culhane , Felix C. Binder , Gabriel T. Landi , John Goold

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…

软凝聚态物质 · 物理学 2022-10-12 Alberto Megías , Andrés Santos

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

Molecular dynamics simulations are performed for a supercooled simple liquid with changing the system size from N=108 to $10^4$ to examine possible finite-size effects. Although almost no systematic deviation is detected in the static pair…

软凝聚态物质 · 物理学 2007-05-23 Kang Kim , Ryoichi Yamamoto

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…

光学 · 物理学 2024-10-29 Stefano Longhi

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.…

化学物理 · 物理学 2015-01-16 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

The time evolution of a homogeneous bidisperse granular suspension is studied in the context of the Enskog kinetic equation. The influence of the surrounding viscous gas on the solid particles is modeled via a deterministic viscous drag…

软凝聚态物质 · 物理学 2021-09-24 Rubén Gómez González , Vicente Garzó

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,…

量子气体 · 物理学 2026-04-08 Sumita Datta

Everybody knows that when a liquid is heated, its temperature increases until the moment when it starts to boil. The increase in temperature then stops, all heat being used to transform the liquid into vapor. What is the microscopic origin…

统计力学 · 物理学 2009-11-10 Ph. Chomaz , F. Gulminelli

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…

统计力学 · 物理学 2026-04-14 Hartmut Löwen