Eur. Phys. J. Special Topics 229, 3445–3467 (2020)
https://doi.org/10.1140/epjst/e2020-000036-3

Regular Article

The concept of induced surface and curvature tensions for EoS of hard discs and hard spheres

¹ Department of Physics, Taras Shevchenko National University of Kyiv, 03022 Kyiv, Ukraine
² Bogolyubov Institute for Theoretical Physics, Metrologichna str. 14B, Kyiv 03680, Ukraine
³ Department of Physics, University of Oslo, PB 1048 Blindern, 0316 Oslo, Norway
⁴ Skobeltzyn Institute of Nuclear Physics, Moscow State University, 119899 Moscow, Russia

^a e-mail: bugaev@th.physik.uni-frankfurt.de

Received: 11 March 2020
Accepted: 27 October 2020
Published online: 21 December 2020

Abstract

Mathematically rigorous derivation of the hadron matter equation of state (EoS) within the induced surface and curvature tensions approach is worked out. Such an EoS allows one to go beyond the Van der Waals approximation for the interaction potential of hard spheres. The compressibility of a single- and two-component hadron mixtures are found for two- and three-dimensional cases. The obtained results are compared to the well known one- and two-component EoS of hard spheres and hard discs. The values of the model parameters which successfully reproduce the well-known EoS on different intervals of packing fractions are determined from fitting their compressibility factors. It is argued that after some modification the developed approach can be also used to describe the mixtures of gases of convex hard particles of different sizes and shapes.