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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

Closed chaotic quantum systems relax after a quench into a Gibbs ensemble. At late times, the relaxation speed is determined by their conservation laws and hydrodynamics. As a result, there exist pairs of initial states which thermalize to…

Quantum Physics · Physics 2026-04-28 Thomas Martin Müller , Silvia Pappalardi , Rosario Fazio

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 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

Slow relaxation processes spanning widely separated timescales pose fundamental challenges for probing steady-state properties and engineering functional quantum systems, such as quantum heat engines and quantum computing devices. We…

Quantum Physics · Physics 2025-10-20 Ruicheng Bao , Zhonghuai Hou

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

Anomalous temperature dependence of heat capacity of glassy systems during a cooling-heating cycle has remained an ill-understood problem for a long time. Most of the features observed in the experimental measurement of the heat capacity of…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

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…

Statistical Mechanics · Physics 2024-07-10 Soumik Ghosh , Purnendu Pathak , Sohini Chatterjee , Subir K. Das

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…

Classical Physics · Physics 2026-03-17 Philippe Ben-Abdallah

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…

Quantum Physics · Physics 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

Quantum thermalization in contemporary quantum devices, in particular quantum computers, has recently attracted significant theoretical interest. Unusual thermalization processes, such as the Quantum Mpemba Effect (QME), have been explored…

Quantum Physics · Physics 2024-12-05 Marc Espinosa Edo , Lian-Ao Wu

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…

Statistical Mechanics · Physics 2021-10-08 Daniel Maria Busiello , Deepak Gupta , Amos Maritan

Observation of the quantum Mpemba effect has spurred much interest in its enabling conditions and its relation to the classical counterpart. Here, we consider weakly open many-body quantum systems initialized in different thermal states and…

Quantum Physics · Physics 2025-11-24 Iris Ulčakar , Rustem Sharipov , Gianluca Lagnese , Zala Lenarčič

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

Liquid water exhibits anomalous behavior in the supercooled region. A popular hypothesis to explain supercooled water's anomalies is the existence of a metastable liquid-liquid transition terminating at a critical point. The hypothesized…

Chemical Physics · Physics 2020-01-08 V. P. Voronov , V. E. Podnek , M. A. Anisimov

What is the fastest way to heat a system which is coupled to a temperature controlled oven? The intuitive answer is to use only the hottest temperature available. However, we show that often it is possible to achieve an exponentially faster…

Statistical Mechanics · Physics 2020-03-10 Oren Raz , Amit Gal

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

Designing cooling protocols is believed to require knowledge of the system spectrum. In contrast, cooling in nature occurs whenever the system is coupled to a cold bath. How does nature know how to cool? A natural cold bath can be mimicked…

A new global analytical model of the heat dissipation process that occurs in passively-cooled embedded systems is introduced, and we explicit under what circumstances the traditional assumption that exponential cooling laws apply in such…

Other Computer Science · Computer Science 2015-12-17 Karel De Vogeleer , Gerard Memmi , Pierre Jouvelot , Fabien Coelho

We uncover an unforeseen asymmetry in relaxation -- for a pair of thermodynamically equidistant temperature quenches, one from a lower and the other from a higher temperature, the relaxation at the ambient temperature is faster in case of…

Statistical Mechanics · Physics 2022-06-20 Alessio Lapolla , Aljaž Godec
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