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The non-Gaussian measures of the particle number fluctuations -- skewness $S\sigma$ and kurtosis $\kappa \sigma^2$ -- are calculated in a vicinity of the critical point. This point corresponds to the end point of the first-order liquid-gas…

Nuclear Theory · Physics 2015-12-22 V. Vovchenko , R. V. Poberezhnyuk , D. V. Anchishkin , M. I. Gorenstein

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 study thermo-mechanical properties of matter at extreme conditions deep in the supercritical state, at temperatures exceeding the critical one up to four orders of magnitude. We calculate the Gr\"{u}neisen parameter {\gamma} and find…

Soft Condensed Matter · Physics 2017-07-10 L. Wang , M. T. Dove , K. Trachenko , Yu. D. Fomin , V. V. Brazhkin

The Van der Waals equation (VdW-EoS) is a prototype equation of state for realistic systems, because it contains the excluded volume and the particle interactions. Additionally, the simulated annealing (and the similar simulated…

Soft Condensed Matter · Physics 2016-09-30 Peter Friedel

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

We investigate a one-dimensional water-like lattice model with Van der Waals and hydrogen-bond interactions, allowing for particle number fluctuations through a chemical potential. The model, defined on a chain with periodic boundary…

Statistical Mechanics · Physics 2025-11-25 F. F. Braz , S. M. de Souza , M. L. Lyra , Onofre Rojas

In a one-component fluid, we investigate evaporation of a small axysymmetric liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9 T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304 (2007)), we…

Soft Condensed Matter · Physics 2009-11-13 Ryohei Teshigawara , Akira Onuki

We analyze, without resort to any model field-mixing scheme, the leading temperature-dependent term in the "diameter" of the coexistence curve asymptotically close to the vapor-liquid critical point. For this purpose, we use a simple…

Statistical Mechanics · Physics 2024-01-15 M. Ya. Sushko , O. M. Babiy

We investigate the ability of the reference hypernetted-chain integral equation to describe the phase diagram of square-well fluids with four different ranges of attraction. Comparison of our results with simulation data shows that the…

Statistical Mechanics · Physics 2015-05-13 Achille Giacometti , Giorgio Pastore , Fred Lado

The phase diagram (pressure versus temperature) of the pure fluid is typically envisioned as being featureless apart from the presence of the liquid-vapor coexistence curve terminating at the critical point. However, a number of recent…

Statistical Mechanics · Physics 2017-06-28 George Ruppeiner , Nathan Dyjack , Abigail McAloon , Jerry Stoops

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

We consider a family of thermodynamic models such that the energy density can be expressed as an asymptotic expansion in the scale formal parameter and whose terms are suitable functions of the volume density. We examine the possibility to…

Statistical Mechanics · Physics 2021-09-22 Francesco Giglio , Giulio Landolfi , Luigi Martina , Antonio Moro

Isothermal interfacial zones are investigated starting from a local energy which can be considered as the sum of two terms: one corresponding to a medium with a uniform composition equal to the local one and a second one associated with the…

Mathematical Physics · Physics 2008-12-18 Henri Gouin

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

We investigate a one-dimensional model that shows several properties of water. The model combines the long-range attraction of the van der Waals model with the nearest-neighbor interaction potential by Ben-Naim, which is a step potential…

Statistical Mechanics · Physics 2012-09-28 Lotta Heckmann , Barbara Drossel

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

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to…

Soft Condensed Matter · Physics 2009-09-24 Riccardo Fantoni , Achille Giacometti , Alexandr Malijevský , Andrés Santos

A lambda-type divergent rise of Raman linewidth of liquid nitrogen near its critical temperature has been a subject of many discussions in the past[1-5]. Here we explore the possibility of such an anomaly in infra-red and Raman spectroscopy…

Chemical Physics · Physics 2016-05-04 Tuhin Samanta , Biman Bagchi

We explore the properties of the equilibrium space of van der Waals thermodynamic systems. We use an invariant representation of the fundamental equation by using the law of corresponding states, which allows us to perform a general…

Statistical Mechanics · Physics 2022-04-06 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

We report experimental evidence for a crossover between a liquid-like state and a gas-like state in fluid methane (CH4). This crossover is observed in all of our experiments, up to 397 K temperature; 2.1 times the critical temperature of…