Isospin Lattice-Gas Model and Liquid-Gas Phase Transition in Asymmetric Nuclear Matter

Physics – Nuclear Physics – Nuclear Theory

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13 pages LaTex, 6 figures available on request at kuo@nuclear.physics.sunysb.edu

Scientific paper

10.1016/S0370-2693(96)01509-2

An isospin lattice-gas model, which is a spin-1 Ising model, is employed to investigate the liquid-gas phase transition in asymmetric nuclear matter. We consider nuclear matter as a lattice where each lattice site can be either empty or occupied by a proton or a neutron, with a nearest-neighbor interaction among the nucleons. With the Bragg-Williams mean field approximation, we calculate various thermodynamic properties of nuclear matter for different densities and different proton-neutron asymmetry parameter $s$. Our model exhibits liquid-gas phase transition below a critical temperature $T_c$, and predicts a monotonic decreasing of $T_c$ as the magnitude of $s$ is increased. The dependence of the nuclear matter isotherms on the asymmetry parameter $s$ is discussed.

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