2019/10/10 by Nazar S. Yakovenko, K. A. Bugaev, Kyrill A. Bugaev +4
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Component (thermodynamics) #Compressibility #Compressibility factor #Curvature #Equation of state #Geometry #Hard spheres #High-pressure geophysics and materials #Mathematics #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #SPHERES #Statistical physics #Surface (topology) #Thermodynamics #Van der Waals equation #cond-mat.stat-mech #nucl-th #van der Waals force
paper · pdf · doi:10.1140/epjst/e2020-000036-3
published as Eur. Phys. J. Special Topics, 229, 3445-3467 (2020) · 13 pages, 9 figures
arxiv created 2019/10/10 · openalex created_date 2019/10/18 · openalex publication_date 2020/12/01 · arxiv updated 2020/12/22 · openalex updated_date 2026/08/05
Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state 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 equations of state of hard spheres and hard discs. The values of the model parameters which successfully reproduce the above-mentioned equations of state 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.