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The Mpemba effect occurs when a system prepared at a hot temperature cools down faster to the bath temperature than an identical system starting at a warm temperature. We derive the condition for the Mpemba effect in the small-diffusion…

统计力学 · 物理学 2023-05-31 Matthew R. Walker , Marija Vucelja

The Mpemba effect describes the phenomenon that a system at a hot initial temperature cools faster than at an initial warm temperature in the same environment. Such an anomalous cooling has recently been predicted and realized for trapped…

软凝聚态物质 · 物理学 2024-06-28 Isha Malhotra , Hartmut Löwen

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

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

The behavior of systems far from equilibrium is often complex and unpredictable, challenging and sometimes overturning the physical intuition derived from equilibrium scenarios. One striking example of this is the Mpemba effect, which…

量子物理 · 物理学 2025-04-02 Stefano Longhi

Loosely speaking, the Mpemba effect appears when hotter systems cool sooner or, in a more abstract way, when systems further from equilibrium relax faster. In this paper, we investigate the Mpemba effect in a molecular gas with nonlinear…

软凝聚态物质 · 物理学 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados

The Mpemba effect occurs when a hot system cools faster than an initially colder one, when both are refrigerated in the same thermal reservoir. Using the custom built supercomputer Janus II, we study the Mpemba effect in spin glasses and…

An accurate experimental investigation on the Mpemba effect (that is, the freezing of initially hot water before cold one) is carried out, showing that in the adiabatic cooling of water a relevant role is played by supercooling as well as…

化学物理 · 物理学 2009-11-13 S. Esposito , R. De Risi , L. Somma

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…

统计力学 · 物理学 2021-05-17 Rubén Gómez González , Nagi Khalil , Vicente Garzó

An ancient and counterintuitive phenomenon know as the Mpemba effect (water can cool faster when initially heated up) showcases the critical role of initial conditions in relaxation processes. How to realize and utilize this effect for…

Despite extensive research, the fundamental physical mechanisms underlying the Mpemba effect, a phenomenon where a substance cools faster after initially being heated, remain elusive. Although historically linked with water, the Mpemba…

软凝聚态物质 · 物理学 2024-04-26 Andrés Santos

Through an exact analysis, we show the existence of Mpemba effect in an anisotropically driven inelastic Maxwell gas, a simplified model for granular gases, in two dimensions. Mpemba effect refers to the couterintuitive phenomenon of a…

统计力学 · 物理学 2022-02-23 Apurba Biswas , V. V. Prasad , R. Rajesh

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 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…

统计力学 · 物理学 2021-12-08 Matthew Walker , Marija Vucelja

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…

统计力学 · 物理学 2026-04-21 Yue Liu , Tan Van Vu , Raphaël Chétrite , Frédéric van Wijland , 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…

量子物理 · 物理学 2025-09-18 Arijit Chatterjee , Sakil Khan , Sachin Jain , T S Mahesh

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…

统计力学 · 物理学 2023-08-10 Saikat Bera , Matthew R. Walker , Marija Vucelja

Under certain conditions, two samples of fluid at different initial temperatures present a counterintuitive behavior known as the Mpemba effect: it is the hotter system that cools sooner. Here, we show that the Mpemba effect is present in…

软凝聚态物质 · 物理学 2017-10-06 Antonio Lasanta , Francisco Vega Reyes , Antonio Prados , Andrés Santos

The counterintuitive Mpemba effect, wherein a hotter system cools faster, critically lacks a general macroscopic theory. Here, starting from linear irreversible thermodynamics, we formulate a generalized Newton's cooling law,…

统计力学 · 物理学 2026-05-21 Yun-Qian Lin , Z. C. Tu , Yu-Han Ma

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