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I evaluate the thermodynamic curvature $R$ for fourteen pure fluids along their liquid-vapor coexistence curves, from the critical point to the triple point, using thermodynamic input from the NIST Chemistry WebBook. In this broad overview,…

Statistical Mechanics · Physics 2015-06-11 George Ruppeiner

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

We evaluate the thermodynamic curvature $R$ for fluid argon, hydrogen, carbon dioxide, and water. For these fluids, $R$ is mostly negative, but we also find significant regimes of positive $R$, which we interpret as indicating solid-like…

Statistical Mechanics · Physics 2014-11-12 George Ruppeiner , Peter Mausbach , Helge-Otmar May

A fluid particle changes its dynamics from diffusive to oscillatory as the system density increases up to the melting density. Hence, the notion of the Frenkel line was introduced to demarcate the fluid region into rigid and nonrigid liquid…

Soft Condensed Matter · Physics 2019-05-15 Tae Jun Yoon , Emanuel A. Lazar , Min Young Ha , Won Bo Lee , Youn-Woo Lee

Recently, we have proposed a new dynamic line on the phase diagram in the supercritical region. Crossing this line corresponds to the radical changes of the fluid properties. Here, we focus on the dynamics of model Lennard-Jones and…

Soft Condensed Matter · Physics 2015-06-16 V. V. Brazhkin , Yu. D. Fomin , A. G. Lyapin , V. N. Ryzhov , E. N. Tsiok , Kostya Trachenko

From a minimal set made of four scale factors defined at the liquid-gas critical point of a pure fluid, and one adjustable parameter which accounts for particle quantum effects, we demonstrate here a master singular behavior of the…

Statistical Mechanics · Physics 2007-05-23 Yves Garrabos

We report the grand-canonical solution of a ternary mixture of discrete hard spheres defined on a Husimi lattice built with cubes, which provides a mean-field approximation for this system on the cubic lattice. The mixture is composed by…

Soft Condensed Matter · Physics 2020-06-02 Nathann T. Rodrigues , Tiago J. Oliveira

Linearly-sloped or `ramp' potentials belong to a class of core-softened models which possess a liquid-liquid critical point (LLCP) in addition to the usual liquid-gas critical point. Furthermore they exhibit thermodynamic anomalies in the…

Statistical Mechanics · Physics 2009-11-11 Helen M. Gibson , Nigel B. Wilding

The relation between liquid-liquid phase transitions and waterlike density anomalies in core-softened potentials of fluids was investigated in an exactly solvable one dimensional lattice model and a in a three dimensional fluid with…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Evy Salcedo , Marcia Barbosa

In the present paper we propose the van der Waals-like model, which allows a purely analytical study of fluid properties including the equation of state, phase behavior and supercritical fluctuations. We take a square-well system as an…

Soft Condensed Matter · Physics 2015-06-18 V. V. Brazhkin , Yu. D. Fomin , V. N. Ryzhov , E. E. Tareyeva , E. N. Tsiok

The high frequency dynamics of fluid oxygen have been investigated by Inelastic X-ray Scattering. In spite of the markedly supercritical conditions ($T\approx 2 T_c$, $P>10^2 P_c$), the sound velocity exceeds the hydrodynamic value of about…

Disordered Systems and Neural Networks · Physics 2009-11-11 Federico Gorelli , Mario Santoro , Tullio Scopigno , Michael Krisch , Giancarlo Ruocco

We study the structure and morphological changes of fluids that are in contact with solid composites formed by alternating and microscopically wide stripes of two different materials. One type of the stripes interacts with the fluid via…

Statistical Mechanics · Physics 2019-12-30 Martin Pospíšil , Martin Láska , Alexandr Malijevský

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

It is generally agreed that the supercritical region of a liquid consists of one single state (supercritical fluid). On the other hand, we show here that liquids in this region exist in two qualitatively different states: "rigid" and…

Statistical Mechanics · Physics 2015-05-27 V. V. Brazhkin , Yu. D. Fomin , A. G. Lyapin , V. N. Ryzhov , Kostya Trachenko

The striking behavior of water has deserved it to be referred to as an "anomalous" liquid. The water anomalies are greatly amplified in metastable (supercooled/stretched) regions. This makes difficult a complete experimental description…

Statistical Mechanics · Physics 2016-08-24 Miguel A. Gonzalez , Chantal Valeriani , Frederic Caupin , Jose L. F. Abascal

We investigate the phase behavior of a single-component system in 3 dimensions with spherically-symmetric, pairwise-additive, soft-core interactions with an attractive well at a long distance, a repulsive soft-core shoulder at an…

Soft Condensed Matter · Physics 2009-11-07 G. Franzese , G. Malescio , A. Skibinsky , S. V. Buldyrev , H. E. Stanley

While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

Materials Science · Physics 2024-04-18 Yury Grabovsky , Lev Truskinovsky

Supercritical fluids near the critical point are characterized by liquid-like densities and gas-like transport properties. These features are purposely exploited in different contexts ranging from natural products extraction/fractionation…

Fluid Dynamics · Physics 2014-05-21 Francesco Battista , Francesco Picano , Carlo Massimo Casciola

We have studied in detail the transition from gas-like to rigid liquid-like behaviour in supercritical $N_2$ at 300 K (2.4 $T_C$). Our study combines neutron diffraction and Raman spectroscopy with empirical potential structure refinement…

Materials Science · Physics 2019-10-10 J. E. Proctor , C. G. Pruteanu , I. Morrison , I. F. Crowe , J. S. Loveday

We compare theoretical and simulation results for static and dynamic properties for a model of particles interacting via a spherically symmetric repulsive ramp potential. The model displays anomalies similar to those found in liquid water,…

Statistical Mechanics · Physics 2009-11-10 Pradeep Kumar , Sergey V. Buldyrev , Francesco Sciortino , Emanuela Zaccarelli , H. Eugene Stanley
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