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An approximate theory is presented describing the propagation of the ice-water front that develops in droplets of water that are deposited on a planar surface at a temperature below the melting point of ice. A calculation based on this…

Materials Science · Physics 2014-09-25 Michael Nauenberg

The Mpemba effect is a thermodynamic anomaly in which a system farther away in temperature from equilibrium thermalizes before one that is initially closer. The effect has been experimentally observed across a wide range of systems,…

Statistical Mechanics · Physics 2026-03-06 Ido Avitan , Roee Factor , David Gelbwaser-Klimovsky

I consider the kinetics of water freezing and show that, at small sub-zero temperatures, (i) the time of ice nucleation within the bulk water environment is enormous and therefore cannot take place either in lakes of in living cells; (ii)…

Materials Science · Physics 2020-09-01 Alexei V. Finkelstein

We generalize the classical thermal Mpemba effect (where an initially hot system relaxes faster to the final equilibrium state than a cold one) to open quantum systems coupled to several reservoirs. We show that, in general, two different…

Statistical Mechanics · Physics 2024-10-07 Andrea Nava , Reinhold Egger

We investigate the direct and inverse Mpemba effects within the framework of the time-delayed Newton's law of cooling by introducing and analyzing the Descartes protocol, a three-reservoir thermal scheme in which each sample undergoes a…

Statistical Mechanics · Physics 2026-04-09 Andrés Santos

The Mpemba effect originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones. This effect has since been generalized to other anomalous relaxation behaviors…

While the water molecule is simple, its condensed phase liquid behavior is so complex that no consensus description has emerged despite three centuries of effort. Here we identify features of its behavior that are the most peculiar, hence…

Chemical Physics · Physics 2014-04-16 Stacey L. Meadley , C. Austen Angell

When a cup of hot coffee is suddenly put into a cold environment, it cools down as a function of time $t$ until the internal temperature $T_\text{int}$ of the coffee equals the external ambient temperature $T_\text{ext}$. This instantaneous…

Statistical Mechanics · Physics 2026-04-14 Hartmut Löwen

The Mpemba effect and its inverse can be understood as a result of nonequilibrium thermodynamics. In polymers, changes of state are generally non-equilibrium processes. However, the Mpemba effect has been rarely reported in the…

Soft Condensed Matter · Physics 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

From an analysis of various types of data obtained in relativistic nuclear collisions, the following picture has emerged in thermal and hydrodynamical descriptions: as the fluid expands and cools, particles first undergo a chemical freeze…

Nuclear Theory · Physics 2019-08-17 N. Arbex , F. Grassi , Y. Hama , O. Socolowski

We demonstrate the quantum Mpemba effect in a quantum dot coupled to two reservoirs, described by the Anderson model. We show that the system temperatures starting from two different initial values (hot and cold), cross each other at finite…

Statistical Mechanics · Physics 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

Water is essential for the activity of proteins. However, the effect of the properties of water on the behavior of proteins is only partially understood. Recently, several experiments have investigated the relation between the dynamics of…

Biological Physics · Physics 2015-03-17 Giancarlo Franzese , Valentino Bianco , Svilen Iskrov

Water shows anomalous properties that are enhanced upon supercooling. The unusual behavior is observed in both H$_2$O and D$_2$O, however with different temperature dependences for the two isotopes. It is often noted that comparing the…

Chemical Physics · Physics 2024-03-14 Greg A. Kimmel

A disordered quasi-liquid layer of water is thought to cover the ice surface, but many issues, such as its onset temperature, its thickness, or its actual relation to bulk liquid water have been a matter of unsettled controversy for more…

Soft Condensed Matter · Physics 2026-01-22 Luis G. MacDowell

It is well-known that water in both liquid and vapor phases exhibits exceptionally weak absorption of light in the visible range. Recent experiments, however, have demonstrated that at the liquid-air interface, absorption in the visible…

Soft Condensed Matter · Physics 2025-01-16 Michael J. Landry , Chuliang Fu , James H. Zhang , Jiachen Li , Gang Chen , Mingda Li

Liquid water exhibits several important anomalous properties in the vicinity of the melting temperature ($T_{\mathrm{m}}$) of ice Ih, including a higher density than ice and a density maximum at 4~$^{\circ}$C. Experimentally, an isotope…

Chemical Physics · Physics 2026-01-01 Yifan Li , Bingjia Yang , Chunyi Zhang , Axel Gomez , Pinchen Xie , Yixiao Chen , Pablo M. Piaggi , Roberto Car

Coherence is an inherently quantum property that deeply affects microscopic processes, including thermalization phenomena. A striking example is the quantum Mpemba effect (QME), in which a system can exhibit anomalous relaxation,…

We report a computer simulation study of the glass transition for water. To mimic the difference between standard and hyperquenched glass, we generate glassy configurations with different cooling rates and calculate the $T$ dependence of…

Soft Condensed Matter · Physics 2016-08-31 Nicolas Giovambattista , C. Austen Angell , Francesco Sciortino , H. Eugene Stanley

Supercooled water is a metastable phase of liquid water below the melting temperature. An interesting discussion recently developed on the relationship between crystallization rate and the time scales of equilibration within the liquid…

Soft Condensed Matter · Physics 2015-06-05 Roman Shevchuk , Francesco Rao

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang
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