3 papers
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2026
Taming of free volume in statistical mechanics of the hard disks model
Victor M. Pergamenshchik, Taras Bryk, Andrij Trokhymchuk
We turn the long time puzzle of the free volume, known for its highly irregular form, into exact analytical formulae and develop statistical mechanics of the hard disk model. The f…
cond-mat.soft2025
Bimodality of local structural ordering in extremely confined hard disks
A. Trokhymchuk, T. Bryk, A. Huerta
By combining computer simulations and a unit cell model approach, we study the apparent bimodality of local structural ordering in a system of confined hard disks. It is shown that…