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Fluid polyamorphism, the existence of multiple amorphous fluid states in a single-component system, has been observed or predicted in a variety of substances. A remarkable example of this phenomenon is the fluid-fluid phase transition in…

Soft Condensed Matter · Physics 2022-09-21 Nathaniel R. Fried , Thomas J. Longo , Mikhail A. Anisimov

We investigate the liquid-solid transition of two dimensional hard spheres in the presence of gravity. We determine the transition temperature and the fraction of particles in the solid regime as a function of temperature via Even-Driven…

Condensed Matter · Physics 2009-10-31 Paul V. Quinn , Daniel C. Hong

Liquid-gas phase transition in statistical mechanics is a long-standing dilemma not yet well explained. In this paper we propose a novel approach to this dilemma, by: 1). Putting forth a new space homogeneity assumption. 2). Giving a new…

Statistical Mechanics · Physics 2007-05-23 Yuan-Xing Gui

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

Tetrahedral liquids such as water and silica-melt show unusual thermodynamic behavior such as a density maximum and an increase in specific-heat when cooled to low temperatures. There is a debate in the literature whether these phenomena…

Statistical Mechanics · Physics 2011-08-10 Itamar Procaccia , Ido Regev

Polymorphism is ubiquitous in crystalline solids. Amorphous solids, such as glassy water and silicon, may undergo amorphous-to-amorphous transitions (AATs). The nature of AATs remains ambiguous, due to diverse system-dependent behaviors and…

The liquid-liquid critical point scenario of water hypothesizes the existence of two metastable liquid phases---low-density liquid (LDL) and high-density liquid (HDL)---deep within the supercooled region. The hypothesis originates from…

This article is a continuation of our previous works (see Yukhnovskii I.R. et al., J. Stat. Phys, 1995, 80, 405 and references therein), where we have described the behavior of a simple system of interacting particles in the region of…

Statistical Mechanics · Physics 2013-07-09 I. R. Yukhnovskii , V. O. Kolomiets , I. M. Idzyk

We develop a series of approximations to calculate free energy of a polar liquid. We show that long range nature of dipole interactions between the molecules leads to para-electric state instability at low temperatures and to a second-order…

Statistical Mechanics · Physics 2012-05-01 P. O. Fedichev , L. I. Menshikov

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 an unique material with a long list of thermodynamic, dynamic and structural anomalies, which are usually attributed to the competition between two characteristic length scales in the intermolecular interaction. It has been argued…

Statistical Mechanics · Physics 2021-06-25 Murilo S. Marques , Vinicius Fonseca Hernandes , Enrique Lomba , J. Rafael Bordin

We divide glass and viscous liquid sciences into two major research areas, the first dealing with how to avoid crystals and so access the viscous liquid state, and the second dealing with how liquids behave when no crystals form. We review…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Austen Angell

We derive a phase diagram for amorphous solids and liquid supercooled water and explain why the amorphous solids of water exist in several different forms. Application of large-deviation theory allows us to prepare such phases in computer…

Statistical Mechanics · Physics 2015-06-16 David T Limmer , David Chandler

Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the last four decades, which is of great importance on both…

Numerical Analysis · Mathematics 2021-04-07 Wei Wang , Lei Zhang , Pingwen Zhang

Due to nonuniform aggregation in liquid state, from the thermodynamic point of view any glass-forming liquid in the vicinity of the liquid-to-solid phase transition temperature, irrespective of its actual chemical composition, shall be…

Disordered Systems and Neural Networks · Physics 2021-03-18 Vladimir Belostotsky

Quantum liquid, in the form of a self-bound droplet, is stabilized by a subtle balance between the mean-field contribution and quantum fluctuations. While a liquid-gas transition is expected when such a balance is broken, it remains elusive…

Quantum Gases · Physics 2023-05-10 Li He , Haowei Li , Wei Yi , Zeng-Qiang Yu

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

The research herein studies the Langevin dynamics allowing for an exchange of energy between liquid crystals and the thermal environment. This dynamics leads to fluctuation and dissipation behaviors in the motions of liquid crystals, and…

Soft Condensed Matter · Physics 2021-06-08 I. L. Ho

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

Soft Condensed Matter · Physics 2015-03-13 Kyohei Takae , Akira Onuki

This perspective article reviews arguments that glass-forming liquids are different from those of standard liquid-state theory, which typically have a viscosity in the mPa$\cdot$s range and relaxation times of order picoseconds. These…

Soft Condensed Matter · Physics 2024-02-13 Jeppe C. Dyre
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