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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,…

Statistical Mechanics · Physics 2026-05-21 Yun-Qian Lin , Z. C. Tu , Yu-Han Ma

The Mpemba effect denotes an anomalous relaxation phenomenon where a system initially at a hot temperature cools faster than a system that starts at a less elevated temperature. We introduce an isothermal analog of this effect for a system…

Statistical Mechanics · Physics 2022-09-02 Julius Degünther , Udo Seifert

A model based on the existence of two different competing local structures in water is described. It is shown that it can explain the transition between fragile and strong behavior that supercooled water has around 220 K. The high…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

The liquid and supercooled states of water show a series of anomalies whose nature is debated. A key role is attributed to the formation of structural aggregates induced by critical phenomena occurring deep in the supercooled region; the…

Chemical Physics · Physics 2013-12-18 A. Taschin , P. Bartolini , R. Eramo , R. Righini , R. Torre

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

In this note we revisit the Kovacs effect, concerning the way in which the volume of a glass-forming liquid, which has been driven out of equilibrium, changes with time while the system evolves towards a metastable state. The theoret- ical…

Soft Condensed Matter · Physics 2017-11-16 F. Aliotta , R. C. Ponterio , F. Saija , P. V. Giaquinta

Water usually contains dissolved gases, and because freezing is a purifying process these gases must be expelled for ice to form. Bubbles appear at the freezing front and are then trapped in ice, making pores. These pores come in a range of…

Soft Condensed Matter · Physics 2024-11-26 Virgile Thiévenaz , Jochem G. Meijer , Detlef Lohse , Alban Sauret

Drops of water at room temperature were released in hot oil, which had a temperature higher than that of the boiling point of water. Initially, the drop temperature increases slowly mainly due to heat transfer diffusion; convective heat…

Fluid Dynamics · Physics 2009-10-20 Enrique Soto , Roberto Zenit , Andrew Belmonte

The striking anomalies in physical properties of supercooled water that were discovered in the 1960-70s, remain incompletely understood and so provide both a source of controversy amongst theoreticians, and a stimulus to experimentalists…

Chemical Physics · Physics 2016-05-31 Sander Woutersen , Michiel Hilbers , Zuofeng Zhao , C. Austen Angell

In this work we suggest a simple theoretical solution of the Mpemba effect in full agreement with known experimental data. This solution follows simply as an especial approximation (linearization) of the usual heat (transfer) equation,…

General Physics · Physics 2012-12-12 Vladan Pankovic , Darko V. Kapor

New experiments for water at the surface of proteins at very low temperature display intriguing dynamic behaviors. The extreme conditions of these experiments make it difficult to explore the wide range of thermodynamic state points needed…

A number of crystal structures of water have been `superheated' in Monte Carlo simulations. Two well known models for water were considered; namely the TIP4P model and the SPC/E model. By comparing the fluid-solid coexistence temperature to…

Statistical Mechanics · Physics 2009-02-24 Carl McBride , Carlos Vega , Eduardo Sanz , Luis G. MacDowell , Jose L. F. Abascal

A few experiments have already detected the presence of icosahedral superclusters in undercooled liquids, confirming a possible homogeneous nucleation of such entities as suggested by Franck. These superclusters survive in melts above the…

Materials Science · Physics 2014-07-29 Robert Felix Tournier

The well-known classical nucleation theory (CNT) for the free energy barrier towards formation of a nucleus of critical size of the new stable phase within the parent metastable phase fails to take into account the influence of other…

Statistical Mechanics · Physics 2015-06-18 Rakesh S. Singh , Biman Bagchi

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

The propensity of water to remain in a metastable liquid state at temperatures below its equilibrium melting point holds significant potential for cryopreserving biological material such as tissues and organs. The benefits conferred are a…

Materials Science · Physics 2023-12-04 Anthony N. Consiglio , Yu Ouyang , Matthew J. Powell-Palm , Boris Rubinsky

Injecting a non-dissolvable gas into a saturated liquid results in sub-cooling of the liquid due to forced evaporation into the bubble. Previous studies assumed the rate of evaporation of liquid into the bubble to be independent of the…

The static and dynamical properties of heavy water have been studied at ambient conditions with extensive Car-Parrinello molecular-dynamics simulations in the canonical ensemble, with temperatures ranging between 325 K and 400 K.…

Soft Condensed Matter · Physics 2007-05-23 P. H-L. Sit , Nicola Marzari

Water famously expands upon freezing, foreshadowed by a negative coefficient of expansion of the liquid at temperatures close to its freezing temperature. These behaviors, and many others, reflect the energetic preference for local…

Statistical Mechanics · Physics 2017-02-08 David T. Limmer , David Chandler

Water offers a large temperature domain of stable liquid, and the characteristic hydrophobic effects are first a consequence of the temperature insensitivity of equation-of-state features of the aqueous medium, compared to other liquids. On…

Biological Physics · Physics 2007-05-23 Lawrence R. Pratt , Andrew Pohorille , D. Asthagiri
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