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Related papers: The square-well fluid: a thermodynamic geometric v…

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In this work we examine thermodynamics of fluid with "molecules" represented by two fused hard spheres, decorated by the attractive square-well sites. Interactions between these sites are of short-range and cause association between the…

Soft Condensed Matter · Physics 2016-03-24 M. Kastelic , Yu. V. Kalyuzhnyi , V. Vlachy

In the study of fluid phases, the Ruppeiner geometry provides novel ways for constructing the phase boundaries (known as the $R$-crossing method) and the Widom line, which is considered by many to be the continuation of the coexistence…

Statistical Mechanics · Physics 2022-11-30 Karlo de Leon , Ian Vega

The one-dimensional penetrable-square-well fluid is studied using both analytical tools and specialized Monte Carlo simulations. The model consists of a penetrable core characterized by a finite repulsive energy combined with a short-range…

Statistical Mechanics · Physics 2010-07-13 R. Fantoni , A. Giacometti , Al. Malijevský , A. Santos

The thermodynamic Ricci curvature scalar $R$ has been applied in a number of contexts, mostly for systems characterized by 2D thermodynamic geometries. Calculations of $R$ in thermodynamic geometries of dimension three or greater have been…

Statistical Mechanics · Physics 2020-12-02 George Ruppeiner , Alex Seftas

Using molecular-dynamics simulation, we have calculated the interfacial free energy, \gamma, between a hard-sphere fluid and hard spherical and cylindrical colloidal particles, as functions of the particle radius R and the fluid packing…

Statistical Mechanics · Physics 2014-12-23 Brian B. Laird , Ruslan L. Davidchack

Recently, new insights in the relation between the geometry of the vessel that confines a fluid and its thermodynamic properties were traced through the study of cluster integrals for inhomogeneous fluids. In this work I analyze the…

Soft Condensed Matter · Physics 2015-06-29 Ignacio Urrutia

The swirling secondary flow in curved pipes is studied in three-space dimensions using a weakly compressible Smoothed Particle Hydrodynamics (WCSPH) formulation coupled to new non-reflecting outflow boundary conditions. A large-eddy…

The exact statistical-mechanical solution for the equilibrium properties, both thermodynamic and structural, of one-dimensional fluids of particles interacting via the triangle-well and the ramp potentials is worked out. In contrast to…

Soft Condensed Matter · Physics 2019-04-11 Ana M. Montero , Andrés Santos

Using molecular dynamics simulations, we study a liquid model which consists of particles interacting via a spherically-symmetric two-scale Jagla ramp potential with both repulsive and attractive ramps. The Jagla potential displays…

Soft Condensed Matter · Physics 2009-11-11 Limei Xu , Sergey V. Buldyrev , C. Austen Angell , H. Eugene Stanley

Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a…

Soft Condensed Matter · Physics 2026-03-31 T. Hvozd , M. Hvozd , M. Holovko

The Ornstein-Zernike equation is solved for the hard-sphere and square-well fluids using a diverse selection of closure relations; the attraction range of the square-well is chosen to be $\lambda=1.5.$ In particular, for both fluids we…

Statistical Mechanics · Physics 2022-07-20 Edwin Bedolla , Luis Carlos Padierna , Ramón Castañeda-Priego

We consider a fluid of $d$-dimensional spherical particles interacting via a pair potential $\phi(r)$ which takes a finite value $\epsilon$ if the two spheres are overlapped ($r<\sigma$) and 0 otherwise. This penetrable-sphere model has…

Statistical Mechanics · Physics 2015-06-29 L. Acedo , A. Santos

An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

Statistical Mechanics · Physics 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

We study information geometry of the thermodynamics of first and second order phase transitions, and beyond criticality, in magnetic and liquid systems. We establish a universal microscopic characterization of such phase transitions via the…

Statistical Mechanics · Physics 2011-11-30 Anshuman Dey , Pratim Roy , Tapobrata Sarkar

State space geometry is obtained for the one dimensional Blume Emery Griffiths model and the associated scalar curvature(s) investigated for various parameter regimes, including the Blume-Capel limit and the Griffiths model limit. For the…

Statistical Mechanics · Physics 2020-11-13 Anurag Sahay , Riekshika Sanwari

The explicit relations between the thermodynamic functions of the Lattice Gas model and the fluid within the framework of approach proposed earlier in [V. L. Kulinskii, J. Phys. Chem. B \textbf{114} 2852 (2010)] are derived. It is shown…

Soft Condensed Matter · Physics 2013-04-26 Leonid A. Bulavin , Vladimir L. Kulinskii

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

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

A comparison of simulation results with the prediction of the structural properties of square-shoulder fluids is carried out to assess the performance of three theories: Tang--Lu's first-order mean spherical approximation, the simplified…

Soft Condensed Matter · Physics 2016-03-01 M. López de Haro , S. B. Yuste , A. Santos

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