Distributions of the largest fragment size in multifragmentation: Traces of a phase transition

Abstract

Distributions of the largest fragment charge are studied using the ALADIN data on fragmentation of ${}^{197}$Au projectiles at relativistic energies. The statistical measures skewness and kurtosis of higher-order fluctuations provide a robust indication of the transition point, linked to a phase transition in the thermodynamic limit. Extensive comparisons with predictions of a bond percolation model corroborate the high accuracy of this model in reproducing the distributions as well as the whole fragmentation pattern as represented by the measured charge correlations. In analogy to percolation, the pseudocritical and critical points are identified in the fragmentation data. Questions concerning the distinction between different models and between first- and second-order phase transitions are discussed.

arXiv comment29 pages, 13 figures, submitted to Phys. Rev. C

References in corpus (44)

• Phase Transitions in Warm, Asymmetric Nuclear Matter
• On the sign of kurtosis near the QCD critical point
• Caloric curves and critical behavior in nuclei
• Universality of Spectator Fragmentation at Relativistic Bombarding Energies
• The Thermodynamic Model for Nuclear Multifragmentation
• The liquid to vapor phase transition in excited nuclei
• Application of Information Theory in Nuclear Liquid Gas Phase Transition
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• A study of the phase transition in the usual statistical model for nuclear multifragmentation
• Critical Behavior in Light Nuclear Systems: Experimental Aspects
• Scaled variance, skewness, and kurtosis near the critical point of nuclear matter
• Topology of event distribution as a generalized definition of phase transitions in finite systems
• Event-by-Event Analysis of Proton-Induced Nuclear Multifragmentation: Determination of Phase Transition Universality-Class in System with Extreme Finite-Size Constraints
• Universal fluctuations in heavy-ion collisions in the Fermi energy domain
• Cnstructing the phase diagram of finite neutral nuclear matter
• Multifragmentation process for different mass asymmetry in the entrance channel around the Fermi energy
• Bimodal behavior of the heaviest fragment distribution in projectile fragmentation
• Universal features of the order-parameter fluctuations : reversible and irreversible aggregation
• Bimodality: a possible experimental signature of the liquid-gas phase transition of nuclear matter
• Statistical signatures of critical behavior in small systems
• Model-independent tracking of criticality signals in nuclear multifragmentation data
• Thermal and Chemical Freeze-out in Spectator Fragmentation
• Distribution of the largest fragment in the Lattice Gas Model
• Statistical Multifragmentation in Thermodynamic Limit
• Bimodality - a Sign of Critical Behavior in Nuclear Reactions
• The nuclear liquid-gas phase transition within Fermionic Molecular Dynamics
• Analyzing Fragmentation of Simple Fluids with Percolation Theory
• A "Little Big Bang" Scenario of Multifragmentation
• Yield scaling, size hierarchy and fluctuations of observables in fragmentation of excited heavy nuclei
• Formation of deuterons by coalescence: Consequences on the deuteron number fluctuations
• Liquid-gas phase transition in hot asymmetric nuclear matter with density-dependent relativistic mean-field models
• Order parameter fluctuations and thermodynamic phase transitions in finite spin systems and fragmenting nuclei
• Bimodality - a general feature of heavy ion reactions
• Zipf's law in Multifragmentation
• Specific heat and bimodality in canonical and grand canonical versions of the thermodynamic model
• Further studies of multiplicity derivative in models of heavy ion collision at intermediate energies as a probe for phase transition
• Nuclear multifragmentation time-scale and fluctuations of largest fragment size
• Tracking the phase-transition energy in disassembly of hot nuclei
• Probing QCD chiral cross over transition in heavy ion collisions with fluctuations
• Bimodalities : a survey of experimental data and models
• Connection between the Largest Lyapunov Exponent, Density Fluctuation and Multifragmentation in Excited Nuclear Systems
• Dynamical and statistical bimodality in nuclear fragmentation
• Universal features of fluctuations
• Zipf's law in Nuclear Multifragmentation and Percolation Theory

Cited by in corpus (1)

• The percolation phase transition and statistical multifragmentation in finite systems