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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…

化学物理 · 物理学 2025-03-31 Alexei V. Finkelstein

The Mpemba effect, in which a system initially farther from equilibrium relaxes faster than a closer one, is often associated with nonlinear or far-from-equilibrium dynamics. We show that this effect can arise entirely within the…

经典物理 · 物理学 2026-03-17 Philippe Ben-Abdallah

Most of our intuition about the behavior of physical systems is shaped by observations at or near thermal equilibrium. However, even a thermal quench can lead to states far from thermal equilibrium, where counterintuitive, anomalous effects…

统计力学 · 物理学 2025-12-11 Gianluca Teza , John Bechhoefer , Antonio Lasanta , Oren Raz , Marija Vucelja

We investigate the optimal control of open quantum systems, in particular, the mutual influence of driving and dissipation. A stochastic approach to open-system control is developed, using a generalized version of Krotov's iterative…

We look into the Mpemba effect---the initially hotter sample cools sooner---in a molecular gas with nonlinear viscous drag. Specifically, the gas particles interact among them via elastic collisions and also with a background fluid at…

统计力学 · 物理学 2020-07-24 Andrés Santos , Antonio Prados

In recent years, the quantum Mpemba effect (QME), which occurs when an out-of-equilibrium system reaches equilibrium faster than another that is closer to equilibrium, has attracted significant attention from the scientific community as an…

量子物理 · 物理学 2026-05-05 Rodrigo F. Saliba , Raphael C. Drumond

The Mpemba effect, in which a hotter system cools faster than a colder one, remains one of the most intriguing anomalies in thermodynamics. Here, we investigate its microscopic origin within the framework of quantum resource theories and…

量子物理 · 物理学 2026-04-17 Doruk Can Alyürük , Mahir H. Yeşiller , Vlatko Vedral , Onur Pusuluk

The "Mpemba effect" is the name given to the assertion that hot water freezes quicker than cold water1 or, in a modern and more general form, that the system that is initially more distant from its equilibrium state comes to this state…

化学物理 · 物理学 2025-08-08 Andrei A. Klimov , Alexei V. Finkelstein

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 essence of the Mpemba effect is that non-equilibrium systems may relax faster the further they are from their equilibrium configuration. In the quantum realm, this phenomenon arises in the dynamics of closed systems, where it is…

量子物理 · 物理学 2024-12-03 Xhek Turkeshi , Pasquale Calabrese , Andrea De Luca

The Mpemba effect is a phenomenon in which an initially hotter sample cools sooner. In this paper, we show the emergence of a non-monotonic Mpemba-like effect in a molecular binary mixture immersed in a viscous gas. Namely, a crossover in…

软凝聚态物质 · 物理学 2021-06-10 Rubén Gómez González , Vicente Garzó

The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at a colder temperature. In many of the experimental observations of the effect, e.g. in water and clathrate hydrates, it…

统计力学 · 物理学 2023-05-23 Roi Holtzman , Oren Raz

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 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…

量子物理 · 物理学 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,…

量子物理 · 物理学 2025-10-16 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

The phenomenon that a system at a hot temperature cools faster than at a warm temperature, referred to as the Mpemba effect, has been recently realized for trapped colloids. Here, we investigate the cooling and heating process of a…

软凝聚态物质 · 物理学 2022-10-05 Fabian Jan Schwarzendahl , Hartmut Löwen

We propose a scheme in which the cooling of a mechanical resonator is achieved by exposing the optomechanical system to a non-Markovian environment. Because of the backflow from the non-Markovian environment, the phonon number can go beyond…

量子物理 · 物理学 2016-07-06 Wen-Zhao Zhang , Jiong Cheng , Wen-Dong Li , Ling Zhou

Complex and even non-monotonic responses to external control can be found in many thermodynamic systems. In such systems, non-equilibrium shortcuts can rapidly drive the system from an initial state to a desired final state. One example is…

统计力学 · 物理学 2023-04-28 Supraja S. Chittari , Zhiyue Lu

The Mpemba effect refers to the surprising observation where, under certain conditions, a far-from-equilibrium state can relax toward equilibrium faster than a state closer to equilibrium. A paradigmatic example is provided by the curious…

量子物理 · 物理学 2025-03-25 Stefano Longhi

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…

统计力学 · 物理学 2025-05-27 Apurba Biswas , R. Rajesh