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In 1897 Ostwald formulated his step rule for formation of the most stable crystal state for a system with crystal polymorphism. The rule describes the irreversible way a system converts to the crystal with lowest free energy. But in fact…

Chemical Physics · Physics 2016-09-07 Søren Toxvaerd

In simulations of supercooled, high-density liquid silica we study a range of temperature T in which we find both crystal nucleation, as well as the characteristic dynamics of a glass forming liquid, including a breakdown of the…

Materials Science · Physics 2015-05-14 Ivan Saika-Voivod , Richard K. Bowles , Peter H. Poole

When an ice crystal is born from liquid water two key changes occur: (i) the molecules order; and (ii) the mobility of the molecules drops as they adopt their lattice positions. Most research on ice nucleation (and crystallization in…

Chemical Physics · Physics 2019-03-27 Martin Fitzner , Gabriele C. Sosso , Stephen J. Cox , Angelos Michaelides

Recent experiments and theoretical studies strongly indicate that water exhibits a liquid-liquid phase transition (LLPT) in the supercooled domain. An open question is how the LLPT of water can affect the properties of aqueous solutions.…

First principles molecular dynamics simulations reveal a liquid-liquid phase transition in supercooled elemental silicon. Two phases coexist below $T_c\approx 1232K$. The low density phase is nearly tetra-coordinated, with a pseudogap at…

Materials Science · Physics 2009-11-13 P. Ganesh , M. Widom

In this work, we provide mechanistic insight into the initial stages of formation of ice across the limit of stability of supercooled water. Such an analysis is particularly important since crystal nucleation is not a relevant mechanism…

Statistical Mechanics · Physics 2026-05-26 Ashutosh Srivastava , Pankaj A. Apte

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

Many glass-formers exhibit phase transitions between two distinct liquid states. For some metallic glass-formers, the liquid-liquid transition is experimentally found in the supercooled liquid at intermediate temperature between the melting…

When we lower the temperature of a liquid, at some point we meet a first order phase transition to the crystal. Yet, under certain conditions it is possible to keep the system in its metastable phase and to avoid crystallization. In this…

Statistical Mechanics · Physics 2009-05-12 Andrea Cavagna

Liquid-liquid transition is an intriguing phenomenon in which a liquid transforms into another liquid via the first-order transition. For molecular liquids, however, it always takes place in a supercooled liquid state metastable against…

Soft Condensed Matter · Physics 2016-11-23 Mika Kobayashi , Hajime Tanaka

It is generally assumed that solid hydrogen will transform into a metallic alkali-like crystal at sufficiently high pressure. However, some theoretical models have also suggested that compressed hydrogen may form an unusual two-component…

Materials Science · Physics 2009-11-10 Stanimir A. Bonev , Eric Schwegler , Tadashi Ogitsu , Giulia Galli

Twenty years ago Poole et al. (Nature 360, 324, 1992) suggested that the anomalous properties of supercooled water may be caused by a critical point that terminates a line of liquid-liquid separation of lower-density and higher-density…

Chemical Physics · Physics 2017-08-14 V. Holten , M. A. Anisimov

In this paper we present a new thermodynamically consistent phase transition model describing the evolution of a liquid substance, e.g., water, in a rigid container $\Omega$ when we freeze the container. Since the density $\varrho_{2}$ of…

Analysis of PDEs · Mathematics 2014-01-10 Michel Fremond , Elisabetta Rocca

$\alpha$-Li$_3$PS$_4$ is a promising solid-state electrolyte with the highest ionic conductivity among its polymorphs. However, its formation presents a thermodynamic paradox: the $\alpha$-phase is the equilibrium phase at high temperature…

We explore the phase diagram of TIP4P-Ew [J. Chem. Phys. {\bf 120}, 9665 (2004)] liquid model water from the boiling-point down to $150 {K}$ at densities ranging from $0.950 {g} {cm}^{-3}$ to $1.355 {g} {cm}^{-3}$. In addition to the…

Statistical Mechanics · Physics 2007-05-23 Dietmar Paschek , Alfons Geiger

By confining water in nanopores, so narrow that the liquid cannot freeze, it is possible to explore its properties well below its homogeneous nucleation temperature TH ~ 235 K. In particular, the dynamical parameters of water can be…

Soft Condensed Matter · Physics 2007-05-23 Sow-Hsin Chen , Francesco Mallamace , Chung-Yuan Mou , Matteo Broccio , Carmelo Corsaro , Antonio Faraone , Li Liu

Random first order transition theory is used to determine the role of attractive and repulsive interactions in the dynamics of supercooled liquids. Self-consistent phonon theory, an approximate mean field treatment consistent with random…

Soft Condensed Matter · Physics 2007-09-13 Randall W. Hall , Peter G. Wolynes

Liquid-liquid and liquid-vapor coexistence regions of various water models were determined by MC simulations of isotherms of density fluctuation restricted systems and by Gibbs ensemble MC simulations. All studied water models show multiple…

Statistical Mechanics · Physics 2009-11-11 Ivan Brovchenko , Alfons Geiger , Alla Oleinikova

Previous studies of the structure of liquid water under pressure performed by neutron diffraction, allowed us to establish two structural limits in liquid water. These two limits are closely connected to the two known forms of amorphous ice…

Disordered Systems and Neural Networks · Physics 2016-08-31 M. -C. Bellissent-Funel

The origin of water's anomalous behavior remains a central open problem in the physical sciences and is often attributed to a liquid-liquid transition (LLT) between high- and low-density liquid states deep in the supercooled regime.…

Soft Condensed Matter · Physics 2026-04-02 Florian Pabst , Ali Hassanali