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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-mech2016
Maximum entropy states of collisionless systems with long-range interaction and different degrees of mixing
Victor M. Pergamenshchik
Dynamics of many-particle systems with long-range interaction is collisionless and governed by the Vlasov equation. This dynamics is a flow of a six-dimensional incompressible liqu…