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The thermodynamic and kinetic anomalies of supercooled liquids are analyzed from the perspective of energy landscapes. A mean field model, a generalized random energy model of liquids is developed, which exhibits a dynamical transition of…

Soft Condensed Matter · Physics 2009-11-10 Masaki Sasai

For a deeply supercooled liquid just above its glass transition temperature, we present a simple thermodynamic model, where the deeply supercooled liquid is assumed to be a mixture of solid-like and liquid-like micro regions. The mole…

Statistical Mechanics · Physics 2012-10-17 Hiroshi Matsuoka

In ref. cond-mat/0005372, Sastry studies by numerical simulations the phase diagram of a simple fragile glass-forming liquid, presenting very interesting and clear results. We apply to this system, at various density values, the analytic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Barbara Coluzzi , Giorgio Parisi , Paolo Verrocchio

First steps towards developing a new perturbation theory for molecular liquids are taken. By choosing a new form of splitting the site-site potential functions between molecules, we will get a set of atomic fluids as the reference system…

Chemical Physics · Physics 2017-11-21 Mehrdad Khanpour

The phase diagram of H2O is extremely complex, in particular, it is believed that a second critical point exists deep below the supercooled water (SCW) region where two liquids of different densities coexist. The problem however, is that…

Chemical Physics · Physics 2015-08-26 Fei Yen , Zhenhua Chi , Adam Berlie , Xiaodi Liu , Alexander F. Goncharov

A large number of water models exists for molecular simulations. They differ in the ability to reproduce specific features of real water instead of others, like the correct temperature for the density maximum or the diffusion coefficient.…

Soft Condensed Matter · Physics 2012-06-04 Roman Shevchuk , Diego Prada-Gracia , Francesco Rao

The stability-limit conjecture (SLC) proposes that the liquid spinodal of water returns to positive pressure in the supercooled region, and that the apparent divergence of water's thermodynamic response functions as temperature decreases…

Statistical Mechanics · Physics 2019-07-24 Pheerawich Chitnelawong , Francesco Sciortino , Peter H. Poole

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

We have developed a scaled parametric equation of state to describe and predict thermodynamic properties of supercooled water. The equation of state, built on the growing evidence that the critical point of supercooled liquid-liquid water…

Soft Condensed Matter · Physics 2007-05-23 M. A. Anisimov , D. A. Fuentevilla

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

One of water's unsolved puzzles is the question of what determines the lowest temperature to which it can be cooled before freezing to ice. The supercooled liquid has been probed experimentally to near the homogeneous nucleation temperature…

Soft Condensed Matter · Physics 2011-12-08 Emily B. Moore , Valeria Molinero

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

In this contribution we review a series of simple one dimensional lattice models that with an appropriate choice of parameters can account for various anomalous features of the behaviour of complex systems such as water. In particular, we…

Statistical Mechanics · Physics 2015-03-13 Enrique Lomba

Water is one of the most abundant substances on Earth, and ice, i.e., solid water, has more than 18 known phases. Normally ice in nature exists only as Ice Ih, Ice Ic, or a stacking disordered mixture of both. Although many theoretical…

Statistical Mechanics · Physics 2022-09-19 Maodong Li , Jun Zhang , Niu Haiyang , Yao Kun Lei , Xu Han , Lijiang Yang , Zhiqiang Ye , Yi Isaac Yang , Yi Qin Gao

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

An equilibrated model glass-forming liquid is studied by mapping successive configurations produced by molecular dynamics simulation onto a time series of inherent structures (local minima in the potential energy). Using this ``inherent…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schroeder , Srikanth Sastry , Jeppe C. Dyre , Sharon C. Glotzer

Supercooled water is expected to exhibit a liquid--liquid phase transition between low- and high-density liquid states, possibly terminating in a liquid--liquid critical point in the experimentally difficult no man's land. Because the…

Chemical Physics · Physics 2026-05-20 Michael Beerbaum , Julian Heske , Jure Gujt , Thomas D. Kühne

Spontaneous onset of a low temperature topologically ordered phase in a 2-dimensional (2D) lattice model of uniaxial liquid crystal (LC) was debated extensively pointing to a suspected underlying mechanism affecting the RG flow near the…

Soft Condensed Matter · Physics 2021-06-29 B. Kamala Latha , Surajit Dhara , V. S. S. Sastry

The liquid-gas spinodal and the glass transition define ultimate boundaries beyond which substances cannot exist as (stable or metastable) liquids. The relation between these limits is analyzed {\it via} computer simulations of a model…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

Liquid crystals are phases of matter intermediate between crystals and liquids. Whereas classical liquid crystals have been known for a long time and are used in electro-optical displays, much less is known about their quantum counterparts.…

Quantum Gases · Physics 2016-01-12 Zhigang Wu , Jens K. Block , Georg M. Bruun
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