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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…

Mathematical Physics · Physics 2019-02-07 Israel Klich , Marija Vucelja

We experimentally investigate the effect of freezing on the spreading of a water drop. Whenever a water drop impacts a cold surface, whose temperature is lower than 0{\deg}C, a thin layer of ice grows during the spreading. This freezing has…

Fluid Dynamics · Physics 2021-02-03 Virgile Thiévenaz , Thomas Séon , Christophe Josserand

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…

Statistical Mechanics · Physics 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…

Quantum Physics · Physics 2025-09-18 Arijit Chatterjee , Sakil Khan , Sachin Jain , T S Mahesh

Cooling forces result from the retarded dipole interaction between an illuminated particle and its reflection. For a one-dimensional example, we find cooling times of milliseconds and limiting temperatures in the millikelvin range. The…

Quantum Physics · Physics 2013-03-08 Tim Freegarde , James Bateman , André Xuereb , Peter Horak

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…

Quantum Physics · Physics 2026-02-18 Sayan Mondal , Ujjwal Sen

Data is presented that demonstrate electrical activity and evidences of dipole alignment in supercooled water and heavy water before and after the onset of freezing. Voltage signals as high as 13 mV have been recorded. In some cases up to 3…

General Physics · Physics 2007-05-23 James D. Brownridge

We study experimentally the enhancement of splashing due to solidification. Investigating the impact of water drops on dry smooth surfaces, we show that the transition velocity to splash can be drastically reduced by cooling the surface…

Fluid Dynamics · Physics 2023-02-17 R. Grivet , A. Huerre , T. Séon , C Josserand

The interaction of objects with a moving solidification front is a common feature of many industrial and natural processes such as metal processing, the growth of single-crystals, the cryopreservation of cells, or the formation of sea ice.…

Materials Science · Physics 2018-05-14 Dmytro Dedovets , Cécile Monteux , Sylvain Deville

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,…

Quantum Physics · Physics 2025-10-16 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

Numerical reproduction of measurements, experimental evidence for skin super-solidity and hydrogen-bond memory clarified that Mpemba paradox integrates the heat emission-conduction-dissipation dynamics in the source-path-drain cycle system.

Soft Condensed Matter · Physics 2015-01-29 Chang Q Sun

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

Particles at liquid interfaces have the tendency to cluster due to capillary forces competing with gravitational buoyancy (i.e., normal to the distorted free surface). This is known as the Cheerios effect. Here we experimentally and…

Soft Condensed Matter · Physics 2025-04-01 Jochem G. Meijer , Vincent Bertin , Detlef Lohse

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

Supercooling of water can be easily studied with a simple apparatus suitable for the student laboratory. We describe such an apparatus and its capabilities. The parameters influencing supercooling include the initial temperature of the…

Chemical Physics · Physics 2016-05-04 K. -C. Tan , W. Ho , J. I. Katz , S. -J. Feng

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…

Quantum Physics · Physics 2025-11-07 Yaru Liu , Yucheng Wang

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

Because of the segmental specific-heat disparity of the hydrogen bond (O:H-O) and the Coulomb repulsion between oxygen ions, cooling elongates the O:H-O bond at freezing by stretching its containing angle and shortening the H-O bond with an…

Soft Condensed Matter · Physics 2015-01-20 Chang Q. Sun

The Leidenfrost effect is a phenomenon in which a liquid, poured onto a surface significantly hotter than the liquid's boiling point, produces a layer of vapor that prevents the liquid from rapid evaporation. Rather than making physical…

Statistical Mechanics · Physics 2022-11-24 Sergey Gavrilyuk , Henri Gouin

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…

Statistical Mechanics · Physics 2021-12-08 Matthew Walker , Marija Vucelja
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