Thermodynamics of a finite system of classical particles with short and long range interactions and nuclear fragmentation

Abstract

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked out in the framework of the grand canonical ensemble. It is shown that the system experiences a phase transition at fixed average density in the thermodynamic limit. The phase diagram and the caloric curve are constructed and compared with numerical simulations. The implications of our results concerning the caloric curve are discussed in connection with the interpretation of corresponding experimental data.

11pages, LaTeX, 6 figures. Major change : A new section dealing with numerical simulations in the framework of a cellular model has been added

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• Universality of Spectator Fragmentation at Relativistic Bombarding Energies
• A unified description for nuclear equation of state and fragmentation in heavy ion collisions
• Temperatures of Exploding Nuclei
• A schematic model for fragmentation and phase transition in nuclear collisions
• Exact Correlation Function at the Lifshitz Points of the Spherical Model
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Cited by in corpus (2)

• Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter
• Quantum spherical model with competing interactions