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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…

Quantum Physics · Physics 2025-04-02 Stefano Longhi

We present an exactly solvable model of the Mpemba effect in an overdamped Langevin system confined in a two-dimensional radially symmetric bistable potential. The potential is constructed as a piecewise quadratic-logarithmic function that…

Statistical Mechanics · Physics 2026-04-02 Hisao Hayakawa , Satoshi Takada

The Mpemba effect, where a hotter system cools faster than a colder one under otherwise identical conditions, has been extensively studied in classical systems. In this work, we present the quantum analogue of the Mpemba effect using a…

Quantum Physics · Physics 2025-11-24 Xingli Li , Yan Li , Yangqian Yan

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

Quantum Mpemba effect occurs when a quantum system, residing far away from the steady state, relaxes faster than a relatively nearer state. We look for the presence of this highly counterintuitive effect in the relaxation dynamics of the…

Statistical Mechanics · Physics 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

The traditional Mpemba effect refers to an anomalous cooling phenomenon when an initial hotter system cools down faster than an initial warm system. Such counterintuitive behavior has been confirmed and explored across phase transitions in…

Soft Condensed Matter · Physics 2026-02-05 Alexander P. Antonov , Hartmut Löwen

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…

Quantum Physics · Physics 2024-12-03 Xhek Turkeshi , Pasquale Calabrese , Andrea De Luca

The Mpemba effect, where a state prepared farther from equilibrium relaxes faster to equilibrium than one prepared closer, has a quantum counterpart where relaxation is resolved by conserved charge. However, the fate of the quantum Mpemba…

Quantum Physics · Physics 2025-12-09 Han-Ze Li , Ching Hua Lee , Shuo Liu , Shi-Xin Zhang , Jian-Xin Zhong

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

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 (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…

Quantum Physics · Physics 2025-12-11 Gourab Das

We study a stochastically driven, damped nonlinear oscillator whose frequency is modulated by a white or coloured noise. Using diagrammatic perturbation theory, we find that in the absence of nonlinearity, parametric modulation by a…

Statistical Mechanics · Physics 2024-09-04 Sourin Dey , Jayanta K. Bhattacharjee

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

The Mpemba effect is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In recent years, theoretical analyses of the Mpemba effect have been developed for microscopic systems and experimentally verified.…

Statistical Mechanics · Physics 2025-03-12 Tan Van Vu , Hisao Hayakawa

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…

Quantum Physics · Physics 2025-03-25 Stefano Longhi

The quantum Mpemba effect (QMPE), an intriguing anomalous relaxation phenomenon, has recently attracted significant attention. However, how various types of noise, which are ubiquitous in real systems, may affect the QMPE remains unknown.…

Quantum Physics · Physics 2025-07-17 Mingrui Zhao , Zhonghuai Hou

The Mpemba effect, where a hotter system can equilibrate faster than a cooler one, has long been a subject of fascination in classical physics. In the past few years, significant theoretical and experimental progress has been made in…

Statistical Mechanics · Physics 2025-09-10 Filiberto Ares , Pasquale Calabrese , Sara Murciano

We address two central open problems in the theory of anomalous Mpemba-like relaxations: their extension beyond one spatial dimension and their consistent formulation in the thermodynamic limit. Our framework is the antiferromagnetic Ising…

Statistical Mechanics · Physics 2026-03-13 Emilio Pomares , Víctor Martín-Mayor , Antonio Lasanta , Gabriel Álvarez

The Mpemba effect has initially been noticed in macroscopic systems -- namely that hot water can freeze faster than cold water -- but recently its extension to open quantum systems has attracted significant attention. This phenomenon can be…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Juliane Graf , Janine Splettstoesser , Juliette Monsel

The so-called Mpemba effect, i.e. the observation that the warmer of two otherwise identical systems cools faster when both are refrigerated in the same thermal reservoir, is a hotly debated topic in condensed mater physics and statistical…

Materials Science · Physics 2019-09-11 A. Gijón , A. Lasanta , E. R. Hernández
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