45 citations · 67 across the 8 of their papers we have counts for
9 papers
Closed analytical form of many-body free volume and thermodynamics of monodisperse hard disks
Victor M. Pergamenshchik, Taras Bryk, Andrij Trokhymchuk
The hard disk model is a fundamental reference system for excluded volume physics, liquid structure, and 2D ordering. Yet, despite its apparent simplicity, an analytical formulatio…
Incorporation of the intensive and extensive entropy contributions in the disk intersection theory of a hard disk system
V. M. Pergamenshchik
The one-body free volume, which determines the entropy of a hard disk system, has extensive (cavity) and intensive (cell) contributions. So far these contributions have not been un…
Colloidal Directional Structures at a Nematic Liquid Crystal-Air Interface
Nan Wang, Julian Evans, Chenxi Li +2
We present a variety of structures formed by colloidal droplets at a nematic liquid crystal-air interface, where the elastic dipole-dipole, quadrupole-quadrupole, and dipole-quadru…
Canonical partition function and distance dependent correlation functions of a quasi-one-dimensional system of hard disks
V. M. Pergamenshchik, T. Bryk, A. Trokhymchuk
The canonical NLT partition function of a quasi-one dimensional (q1D) one-file system of equal hard disks [J. Chem Phys. 153, 144111 (2020)] provides an analytical description of t…
Correlation functions and ordering in a quasi-one dimensional system of hard disks from the exact canonical partition function
V. M. Pergamenshchik, T. M. Bryk, A. D. Trokhymchuk
The analytical canonical NLT partition function of a quasi-one dimensional (q1D) system of hard disks [J. Chem Phys. v.153, 144111 (2020)] provides a direct analytical description…
Analytical canonical partition function of a quasi-one dimensional system of hard disks
V. M. Pergamenshchik
The exact canonical partition function of a hard disk system in a narrow quasi-one dimensional pore of given length and width is derived analytically in the thermodynamic limit. As…