Scaling in the Lattice Gas Model

Abstract

A good quality scaling of the cluster size distributions is obtained for the Lattice Gas Model using the Fisher's ansatz for the scaling function. This scaling identifies a pseudo-critical line in the phase diagram of the model that spans the whole (subcritical to supercritical) density range. The independent cluster hypothesis of the Fisher approach is shown to describe correctly the thermodynamics of the lattice only far away from the critical point.

4 pages, 3 figures

References in corpus (3)

• Caloric curves and critical behavior in nuclei
• The liquid to vapor phase transition in excited nuclei
• On the reliability of negative heat capacity measurements

Cited by in corpus (17)

• Nuclear multifragmentation and phase transition for hot nuclei
• Critical Behavior in Light Nuclear Systems: Experimental Aspects
• Liquid-Gas phase transition in nuclei
• Cnstructing the phase diagram of finite neutral nuclear matter
• The Quantum Nature of a Nuclear Phase Transition
• Distribution of the largest fragment in the Lattice Gas Model
• The Isospin Dependence Of The Nuclear Equation Of State Near The Critical Point
• Evidence of Critical Behavior in the Disassembly of Nuclei with A ~ 36
• Critical behaviors in central and peripheral collisions: a comparative analysis
• Yield scaling, size hierarchy and fluctuations of observables in fragmentation of excited heavy nuclei
• The three-dimensional Ising model: A paradigm of liquid-vapor coexistence in nuclear multifragmentation
• Looking for bimodal distributions in multi-fragmentation reactions
• Fluctuations of fragment observables
• Tracking the phase-transition energy in disassembly of hot nuclei
• Time dependence of critical behavior in multifragmentation
• Critical Scaling of Two-component Systems from Quantum Fluctuations
• Equation of State and Phase Transitions in the Nuclear and Hadronic Systems