The concept of induced surface and curvature tensions and a unified description of the gas of hard discs and hard spheres

Abstract

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.

13 pages, 9 figures

References in corpus (8)

• Quark-Gluon Bags with Surface Tension
• The Flow Constraint Influence on the Properties of Nuclear Matter Critical Endpoint
• The induced surface tension contribution for the equation of state of neutron stars
• Threshold Collision Energy of the QCD Phase Diagram Tricritical Endpoint
• Neutron stars meet constraints from high and low energy nuclear physics
• Self-consistent Treatment of Quantum Gases of D-dimensional Hard Spheres Beyond the Van der Waals Approximation
• Equation of state of additive hard-disk fluid mixtures: A critical analysis of two recent proposals
• On relation between bulk, surface and curvature parts of nuclear binding energy within the model of hexagonal clusters

Cited by in corpus (4)

• Alternative Formulation of the Induced Surface and Curvature Tensions Approach
• Induced surface and curvature tension equation of state for hadron resonance gas in finite volumes and its relation to morphological thermodynamics
• Statistical Multifragmentation Model Within the Extended Morphological Thermodynamics Approach
• Induced Surface and Curvature Tensions Equation of State of Hadrons with Relativistic Excluded Volumes and its Relation to Morphological Thermodynamics