Publication | Closed Access
Aspects of statistical model for multifragmentation
12
Citations
10
References
1999
Year
EngineeringComputer-aided DesignMulti-resolution MethodStatistical Field TheoryImage AnalysisMultiscale AnalysisNumerical SimulationAnomalous DiffusionThermodynamicsComputational GeometryStatisticsGeometric ModelingMachine VisionPhysicsQuantum Field TheoryRange ForceEntropyNatural SciencesStatistical Fragmentation ModelCanonical ModelMultiscale Modeling
We deal with two different aspects of an exactly soluble statistical model of fragmentation. First we show, using zero range force and finite temperature Thomas-Fermi theory, that a common link can be found between finite temperature mean field theory and the statistical fragmentation model. We show the latter naturally arises in the spinodal region. Next we show that although the exact statistical model is a canonical model and uses temperature, microcanonical results which use constant energy rather than constant temperature can also be obtained from the canonical model using saddle-point approximation. The methodology is extremely simple to implement and at least in all the examples studied in this work is very accurate.
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