arXiv subjects

T. Hvozd

Publications and source records attributed to T. Hvozd.

3 recordsLinked to original sources

arXiv2026

Thermodynamics of hard-sphere fluids in polydisperse random porous media: Extended scaled particle theory

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 hard-sphere (HS) fluid confined in size-polydisperse HS random porous media, extending the existing approaches to higher matrix packing fractions. We calculate chemical potentials for a wide range of porous-matrix parameters, including the matrix packing fraction, degree of polydispersity, and particle-size distributions. Within the proposed framework, our results show excellent agreement with available Monte Carlo simulations and previous integral-equation theories over a broad range of matrix packing fractions, $0.1 \leqslant \eta_0 \leqslant 0.3$, and degrees of polydispersity.

cond-mat.soft↗

arXiv2024

Phase behaviour of primitive models of molecular ionic liquids in porous media: effects of cation shape, ion association and disordered confinement

The phase behaviour of room-temperature ionic liquids (ILs) confined in disordered porous media is studied using a theoretical approach that combines an extension of scaled particle theory, Wertheim's thermodynamic perturbation theory, and the associative mean spherical approximation. Two models, differing in the shape of the molecular cation, are considered: one with cations formed as charged flexible chains and the other with cations modelled as charged hard spherocylinders. Each model is described by a mixture of dimerized and free ions, while the porous medium is represented as a disordered matrix of hard spheres. We focus on the effects of the molecular cation shape, partial ion association, and disordered confinement on the liquid-vapour-like phase behaviour of the model ILs. In the approximation considered, we find that both the critical temperature and critical density in the model with spherocylinder cations are lower than those in the model with chain cations, and the phase coexistence region is narrower. This is the first theoretical attempt to describe an IL model with molecular ions shaped as spherocylinders, particularly in a disordered porous medium.

cond-mat.soft↗

arXiv2024

Vapour-liquid phase behaviour of primitive models of ionic liquids confined in disordered porous media

We develop a theory for the description of ionic liquids (ILs) confined in a porous medium formed by a matrix of immobile randomly placed uncharged particles. The IL is modelled as an electroneutral mixture of hardsphere anions and flexible linear chain cations, represented by tangentially bonded hard spheres with the charge located on one of the terminal beads. The theory combines a generalization of the scaled particle theory, Wertheim's thermodynamic perturbation theory, and the associative mean-spherical approximation and allows one to obtain analytical expressions for the pressure and chemical potentials of the matrix-IL system. Using the theory, we calculate the vapour-liquid phase diagrams for two versions of the IL model, i.e., when the cation is modelled as a dimer and as a chain, in a complete association limit. The effects of the matrix confinement and of the non-spherical shape of the cations on the vapour-liquid phase diagrams are studied.

cond-mat.soft↗