Distribution of the largest fragment in the Lattice Gas Model

Abstract

The distribution of the largest fragment is studied in different regions of the Lattice Gas model phase diagram. We show that first and second order transitions can be clearly distinguished in the grancanonical ensemble, while signals typical of a continuous transition are seen inside the coexistence region if a mass conservation constraint is applied. Some possible implications of these findings for heavy ion multifragmentation experiments are discussed.

References in corpus (14)

• Topology of event distribution as a generalized definition of phase transitions in finite systems
• Clusters in Simple Fluids
• Universal fluctuations in heavy-ion collisions in the Fermi energy domain
• Universal features of the order-parameter fluctuations : reversible and irreversible aggregation
• First order phase transitions: equivalence between bimodalities and the Yang-Lee theorem
• Crossing the coexistence line at constant magnetization
• Statistical Multifragmentation in Thermodynamic Limit
• On the inequivalence of statistical ensembles
• Scaling in the Lattice Gas Model
• Correlations between signals of the liquid-gas phase transition in nuclei
• Transient backbending behavior in the Ising model with fixed magnetization
• Order parameter fluctuations and thermodynamic phase transitions in finite spin systems and fragmenting nuclei
• Tracking the phase-transition energy in disassembly of hot nuclei
• Parametrising yields of nuclear multifragmentation

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