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We address the fundamental difference between solid-solid and liquid-liquid phase transitions within the Ericksen's nonlinear elasticity paradigm. To highlight ideas, we consider the simplest nontrivial 2D problem and work with a…

Mathematical Physics · Physics 2023-06-06 Yury Grabovsky , Lev Truskinovsky

Liquid water has anomalous liquid properties, such as its density maximum at 4\degree C. An attempt at theoretical explanation proposes a liquid-liquid phase transition line in the supercooled liquid state, with coexisting low-density (LDL)…

Soft Condensed Matter · Physics 2019-09-04 Peter Mausbach , Helge-Otmar May , George Ruppeiner

An electronically coarse-grained model for water reveals a persistent vestige of the liquid-gas transition deep into the supercritical region. A crossover in the density dependence of the molecular dipole arises from the onset of…

Statistical Mechanics · Physics 2015-09-15 V. P. Sokhan , A. Jones , F. S. Cipcigan , J. Crain , G. J. Martyna

We perform successive umbrella sampling grand canonical Monte Carlo computer simulations of the original ST2 model of water in the vicinity of the proposed liquid-liquid critical point, at temperatures above and below the critical…

Soft Condensed Matter · Physics 2011-08-31 Sciortino Francesco , Saika-Voivod Ivan , Poole Peter

We review the available experimental information on the thermodynamic properties of supercooled ordinary and heavy water and demonstrate the possibility of modeling these thermodynamic properties on a theoretical basis. We show that by…

Chemical Physics · Physics 2013-02-25 V. Holten , C. E. Bertrand , M. A. Anisimov , J. V. Sengers

We perform density functional molecular dynamics simulations of liquid and solid MgSiO3 in the pressure range of 120-1600 GPa and for temperatures up to 20000 K in order to provide new insight into the nature of the liquid-liquid phase…

Materials Science · Physics 2015-06-05 Burkhard Militzer

Liquid-liquid phase transition of hydrogen is at the center of hydrogen phase diagram as a promising route towards emergent properties such as the Wigner-Huntington metallization, superconductivity, and superfluidity. Here we report a study…

Materials Science · Physics 2022-06-27 Jianqing Guo , Bingqing Cheng , Limei Xu , Enge Wang , Ji Chen

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

The ST2 interaction potential has been used in a large number of simulation studies to explore the possibility of a liquid-liquid phase transition (LLPT) in supercooled water. Using umbrella sampling Monte Carlo simulations of ST2 water, we…

In this work the high pressure region of the phase diagram of water has been studied by computer simulation by using the TIP4P/2005 model of water. Free energy calculations were performed for ices VII and VIII and for the fluid phase to…

Materials Science · Physics 2009-01-14 J. L. Aragones , M. M. Conde , E. G. Noya , C. Vega

Metallic hydrogen is expected to exhibit remarkable physics. Of particular interest in this work is the possibility of high-temperature superconductivity. Comparing calculations of the superconducting critical temperatures of the solid…

Superconductivity · Physics 2021-07-02 Craig M. Tenney , Zachary F. Croft , Jeffrey M. McMahon

In network glass including chalcogenides, the network topology of microscopic structures can be tuned by changing the chemical compositions. As the composition is varied, an intermediate phase (IP) singularly different from the adjacent…

Soft Condensed Matter · Physics 2019-08-27 J. Quetzalcoatl Toledo-Marin , Le Yan

Water has many anomalous properties compared to "simple" liquids, and these anomalies are typically enhanced in supercooled water. While numerous models have been proposed, including the liquid-liquid critical point, the singularity-free…

Chemical Physics · Physics 2020-10-28 Loni Kringle , Wyatt A. Thornley , Bruce D. Kay , Greg A. Kimmel

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

The supercooled liquid silicon, modeled by Stillinger-Weber potential, shows anomalous increase in heat capacity $C_p$, with a maximum $C_p$ value close to 1060 K at zero pressure. We study equilibration and relaxation of the supercooled SW…

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

How the two dimensional (2D) quantum Wigner crystal (WC) transforms into the metallic liquid phase remains to be an outstanding problem in physics. In theories considering the 2D WC to liquid transition in the clean limit, it was suggested…

Strongly Correlated Electrons · Physics 2015-09-25 R. L. J. Qiu , N. J. Goble , A. Serafin , L. Yin , J. S. Xia , N. S. Sullivan , L. N. Pfeiffer , K. W. West , Xuan P. A. Gao

This article presents a phenomenological dynamic phase transition theory -- modeling and analysis -- for superfluids. As we know, although the time-dependent Ginzburg-Landau model has been successfully used in superconductivity, and the…

Statistical Mechanics · Physics 2009-03-12 Tian Ma , Shouhong Wang

The possible existence of a liquid-liquid critical point in deeply supercooled water has been a subject of debate in part due to the challenges associated with providing definitive experimental evidence. Pioneering work by Mishima and…

Statistical Mechanics · Physics 2023-12-27 Pablo M. Piaggi , Thomas E. Gartner , Roberto Car , Pablo G. Debenedetti

Diverse material classes exhibit practically identical behavior when made viscous upon cooling toward the glass transition, suggesting a common theoretical basis. The first-principles scaling laws that have been proposed to describe the…

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