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The SPT2 approach is based on the scaled particle theory and developed for the description of thermodynamic properties of hard sphere (HS) fluids in disordered porous media. Using this approach a porous medium is modelled as a quenched…

Soft Condensed Matter · Physics 2017-10-04 M. Holovko , T. Patsahan , W. Dong

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 scaled particle theory (SPT) approximation is applied for the study of the influence of a porous medium on the isotropic-nematic transition in a hard spherocylinder fluid. Two new approaches are developed in order to improve the…

Soft Condensed Matter · Physics 2018-04-02 M. F. Holovko , V. I. Shmotolokha

The thermodynamic stability of the hard-sphere gas has been examined, using the formalism of scaled particle theory [SPT], and by applying explicitly the conditions of stability required by both the second and third laws of thermodynamics.…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney

We use the Enskog theory for the description of the self-diffusion coefficient of hard sphere fluids in disordered porous media. Using the scaled particle theory previously developed by us for the description of thermodynamic properties of…

Soft Condensed Matter · Physics 2020-05-26 M. F. Holovko , M. Ya. Korvatska

We review the literature on scaled particle theory (SPT) and its extensions and discuss results applied to describe the thermodynamics of hard particle mixtures. After explaining the basic concepts of scaled particle theory to compute the…

Soft Condensed Matter · Physics 2025-07-01 Volodymyr Shmotolokha , Jonas Maier-Borst , Mark Vis , Anja Kuhnhold , Remco Tuinier

We apply the Barker-Henderson (BH) perturbation theory to the study of a Lennard-Jones fluid confined in a random porous matrix formed by hard sphere particles. In order to describe the reference system needed in this perturbation scheme,…

Soft Condensed Matter · Physics 2015-04-07 M. F. Holovko , T. M. Patsahan , V. I. Shmotolokha

This research focuses on the unique phase behavior of non-spherical patchy colloids in porous environments. Based on the theory of scaled particle (SPT), methods have been refined and applied to analyze the thermodynamic properties of…

Soft Condensed Matter · Physics 2024-04-02 V. I. Shmotolokha , M. F. Holovko

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

Statistical Mechanics · Physics 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

Various approaches are reviewed that use scaled particle theories to describe dumbbell fluids made of tangent or overlapped hard spheres. Expressions encountered in the literature are written in a form similar to that presented in the…

Soft Condensed Matter · Physics 2021-10-12 O. Bernard

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

Strongly correlated amorphous solids are a class of glass-formers whose inter-particle potential admits an approximate inverse power-law form in a relevant range of inter-particle distances. We study the steady-state plastic flow of such…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

We develop the scaled particle theory to describe the thermodynamic properties and orientation ordering of a binary mixture of hard spheres (HS) and hard spherocylinders (HSC) confined in a disordered porous medium. Using this theory the…

Soft Condensed Matter · Physics 2019-02-12 M. Hvozd , T. Patsahan , M. Holovko

We calculate thermodynamic and structural quantities of a fluid of hard spheres of diameter $\sigma$ in a quasi-one-dimensional pore with accessible pore width $W $ smaller than $\sigma$ by applying a perturbative method worked out earlier…

Soft Condensed Matter · Physics 2024-07-04 Thomas Franosch , Rolf Schilling

A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial particles of finite volume, is proposed and analysed in any finite dimension $d\in\mathbb{N}$. It is a regularised and inertial version of the…

Analysis of PDEs · Mathematics 2021-02-10 Federico Cornalba , Tony Shardlow , Johannes Zimmer

The use of probe molecules to extract the local dynamical and structural properties of complex dynamical systems is an age-old technique both in simulations and experiments. A lot of important information which is not immediately accessible…

Soft Condensed Matter · Physics 2021-03-30 Anoop Mutneja , Smarajit Karmakar

The scaled-particle theory equation of state for the two-dimensional hard-disk fluid on a curved surface is proposed and used to determine the saddle-splay modulus of a particle-laden fluid interface. The resulting contribution to…

Soft Condensed Matter · Physics 2009-11-13 S. V. Lishchuk

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

Fluid Dynamics · Physics 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

We study the vapour-liquid phase behaviour of an ionic fluid confined in a random porous matrix formed by uncharged hard sphere particles. The ionic fluid is modelled as an equimolar binary mixture of oppositely charged equisized hard…

Soft Condensed Matter · Physics 2016-09-21 M. F. Holovko , O. Patsahan , T. Patsahan
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