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Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids. We review different approaches to liquids and propose that liquids do not need classifying in terms of…

Soft Condensed Matter · Physics 2016-01-13 K. Trachenko , V. V. Brazhkin

Since their discovery in 1822, supercritical fluids have been of enduring interest, and have started to be deployed in many important applications. Theoretical understanding of the supercritical state is lacking, and is seen to limit…

Chemical Physics · Physics 2013-08-19 Dima Bolmatov , V. V. Brazhkin , K. Trachenko

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

A hallmark of a thermodynamic phase transition is the qualitative change of system thermodynamic properties such as energy and heat capacity. On the other hand, no phase transition is thought to operate in the supercritical state of matter…

Statistical Mechanics · Physics 2020-04-13 L. Wang , C. Yang , M. T. Dove , V. V. Brazhkin , K. Trachenko

Based on the Maxwell relationship and experimental viscosity data, the phonon theory of liquids can provide a temperature-dependent description of liquid heat capacity that is consistent with experimental data. However, since liquid heat…

Soft Condensed Matter · Physics 2025-07-08 M. Y. Esmer , Bahtiyar A. Mamedov

The static and dynamical properties of heavy water have been studied at ambient conditions with extensive Car-Parrinello molecular-dynamics simulations in the canonical ensemble, with temperatures ranging between 325 K and 400 K.…

Soft Condensed Matter · Physics 2007-05-23 P. H-L. Sit , Nicola Marzari

Many physical systems, including classical fluids, present in their phase diagram the competition between two phases that are separated by a line of first-order phase transitions which terminates at a so-called critical point. Despite…

High Energy Physics - Theory · Physics 2025-04-29 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang , Matteo Baggioli

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

We study autocorrelation functions of energy, heat and entropy densities obtained by molecular dynamics simulations of supercritical Ar and compare them with the predictions of the hydrodynamic theory. It is shown that the predicted by the…

Soft Condensed Matter · Physics 2015-04-07 T. Bryk , T. Scopigno , G. Ruocco

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

We introduce a new measure of the structure of a liquid which is the softness of the mean-field potential developed by us earlier. We find that this softness is sensitive to small changes in the structure. We then study its correlation with…

Soft Condensed Matter · Physics 2021-05-26 Manoj Kumar Nandi , Sarika Maitra Bhattacharyya

Relations between the thermodynamics and dynamics of supercooled liquids approaching a glass transition have been proposed over many years. The potential energy surface of model liquids has been increasingly studied since it provides a…

Supercritical fluids play a significant role in elucidating fundamental aspects of liquid matter under extreme conditions. They have been extensively studied at pressures and temperatures relevant to various industrial applications.…

Statistical Mechanics · Physics 2015-12-23 Dima Bolmatov , M. Zhernenkov , D. Zav'yalov , S. N. Tkachev , A. Cunsolo , Y. Q. Cai

This Perspective article provides an overview of some of our analytical approaches to the computation of the structural and thermodynamic properties of single-component and multicomponent hard-sphere fluids. For the structural properties,…

Soft Condensed Matter · Physics 2020-09-28 Andrés Santos , Santos B. Yuste , Mariano López de Haro

The dynamical properties of liquid lithium at several thermodynamic states near the triple point have been studied within the framework of the mode-coupling theory. We present a self-consistent scheme which, starting from the knowledge of…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Casas , D. J. Gonzalez , L. E. Gonzalez

In equilibrium and supercooled liquids, polymorphism is manifested by thermodynamic regions defined in the phase diagram, which are predominantly of different short- and medium-range order (local structure). It is found that on the phase…

Soft Condensed Matter · Physics 2024-03-19 Anatolii V. Mokshin , Roman V. Vlasov

Dynamical crossover in water is studied by means of computer simulation. The crossover temperature is calculated from the behavior of velocity autocorrelation functions. The results are compared with experimental data. It is shown that the…

Soft Condensed Matter · Physics 2015-02-11 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok , V. V. Brazhkin

Using molecular dynamics simulations, we study supercritical fluids near the gas-liquid critical point under heat flow in two dimensions. We calculate the steady-state temperature and density profiles. The resultant thermal conductivity…

Statistical Mechanics · Physics 2009-11-10 Toshiyuki Hamanaka , Ryoichi Yamamoto , Akira Onuki

There have been ample studies of the many phases of H2O in both its solid and low pressure liquid states, and the transitions between them. Using molecular dynamics simulations we address the hitherto unexplored deeply supercritical…

Soft Condensed Matter · Physics 2020-09-02 Cillian Cockrell , Oliver Dicks , Vadim Brazhkin , Kostya Trachenko

We have investigated thermodynamic and dynamic properties as well as the dielectric constant of water-metha\-nol model mixtures in the entire range of composition by using constant pressure molecular dynamics simulations at ambient…

Soft Condensed Matter · Physics 2015-12-25 E. Galicia-Andrés , H. Dominguez , L. Pusztai , O. Pizio
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