Critical Exponents of the Statistical Multifragmentation Model

Abstract

For the statistical multifragmentation model the critical indices ${\alpha }^{\prime },\beta ,{\gamma }^{\prime },\delta$ are calculated as functions of the Fisher parameter $\tau$. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed. The basic model predicts for the index $\tau$ a narrow range of values, $1.799<\tau <1.846$, which is consistent with two experiments on nuclear multifragmentation.

minor changes of the text, four references added

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• Surface Partition of Large Fragments
• Exactly Solvable Models: The Road Towards a Rigorous Treatment of Phase Transitions in Finite Systems
• Quark Gluon Bags as Reggeons
• Phase Transition in Liquid Drop Fragmentation
• Multifragmentation and nuclear phase transitions (liquid-fog and liquid-gas)
• Exactly Solvable Model for the QCD Tricritcal Endpoint
• On Relation Between the Quark Gluon Bag Surface Tension and the Colour Tube String Tension
• Effects of Induced Surface Tension in Nuclear and Hadron Matter
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• Critical exponents of the quark-gluon bags model with the critical endpoint
• Is bimodality a sufficient condition for a first order phase transition existence?
• Exploring an Origin of the QCD Critical Endpoint
• RMF models with $\sigma$-scaled hadron masses and couplings for description of heavy-ion collisions below 2A GeV
• Mass distributions for nuclear disintegration from fission to evaporation
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics
• On relation between bulk, surface and curvature parts of nuclear binding energy within the model of hexagonal clusters
• Equation of State and Phase Transitions in the Nuclear and Hadronic Systems
• Analytic representation of critical equations of state