Van der Waals equation of state for asymmetric nuclear matter

Abstract

The application of van der Waals equation of state to the asymmetric nuclear matter is considered in a critical state region. The corrections to the van der Waals pressure and free energy due to the Fermi statistics are obtained starting from the Thomas--Fermi entropy expression which ensures the fulfilment of Nernst theorem. The derived corrections account for the effective nucleon mass and neutron-proton isotopic asymmetry. The parameters of van der Waals equation of state are deduced taking the experimental value of critical temperature for symmetric nuclear matter and testing the model of van der Waals with statistics corrections included against the theory of Skyrme energy density functional. Critical line in pressure-temperature-composition space is considered. Incompressibility coefficient is determined along the critical line as a function of nuclear matter composition. Jump in the value of specific heat upon crossing critical line is discussed.

arXiv comment15 pages, 2 figures, 2 tables, published in Nucl. Phys. At. Energy

References in corpus (15)

• Isospin Asymmetry in Nuclei and Neutron Stars
• Skyrme Interaction and Nuclear Matter Constraints
• Phase Transitions in Warm, Asymmetric Nuclear Matter
• Caloric curves and critical behavior in nuclei
• Determination of the parameters of a Skyrme type effective interaction using the simulated annealing approach
• From Brueckner Approach to Skyrme-type Energy Density Functional
• Limiting temperatures and the Equation of State of Nuclear Matter
• Physical Origin of Density Dependent Force of the Skyrme Type within the Quark Meson Coupling Model
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Interdependence of different symmetry energy elements
• Critical Temperature for the Nuclear Liquid-Gas Phase Transition
• Non-congruent phase transitions in strongly interacting matter within the Quantum van der Waals model
• Quantum van der Waals and Walecka models of nuclear matter
• The nucleon effective mass and its isovector splitting
• Effects of quantum statistics near the critical point of nuclear matter