Isospin Lattice Gas Model and Nuclear-Matter Phase Diagram and Pressure-Volume Isotherms

Abstract

We study a cubic lattice gas model for nuclear matter where each lattice site can be either occupied, by one proton or one neutron, or unoccupied. A nearest-neighbor interaction of the form $-{\sum }_{<ij>}{J}_{ij}{\tau }_{zi}{\tau }_{zj}$ is assumed. Our model is an isospin-1 Ising model, with ${\tau }_z$ = (1,0,-1) representing respectively (proton, vacancy, neutron). A kinetic-energy term has been included in our model. Under the Bragg-Williams mean field approximation our model exhibits the existence of a dense phase (liquid-like) and a rare phase (gas-like). The nuclear-matter p-v isotherms given by our model are discussed.

12 pages, LaTeX, 3 figures are available on request at [email protected]; to be published in IJMPE

Cited by in corpus (8)

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• Nuclear Lattice Simulations with Chiral Effective Field Theory
• Nuclear Matter on a Lattice
• Isospin Lattice-Gas Model and Liquid-Gas Phase Transition in Asymmetric Nuclear Matter
• Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice
• Lattice gas models derived from effective field theory
• The Isospin Distribution of Fragments in Reactions 96Ru+96Ru, 96Ru+96Zr, 96Zr+96Ru, and 96Zr+96Zr at Beam Energy 400 AMeV
• Liquid-gas phase transition in a two-components isospin lattice gas model for asymmetric nuclear matter