Geometrical aspects of isoscaling

Abstract

The property of isoscaling in nuclear fragmentation is studied using a simple bond percolation model with ``isospin'' added as an extra degree of freedom. It is shown analytically, first, that isoscaling is expected to exist in such a simple model with the only assumption of fair sampling with homogeneous probabilities. Second, numerical percolations of hundreds of thousands of grids of different sizes and with different $N$ to $Z$ ratios confirm this prediction with remarkable agreement. It is thus concluded that isoscaling emerges from the simple assumption of fair sampling with homogeneous probabilities, a requirement which, if put in the nomenclature of the minimum information theory, translates simply into the existence of equiprobable configurations in maximum entropy states.

References in corpus (10)

• Isotopic Scaling in Nuclear Reactions
• Isospin Fractionation in Nuclear Multifragmentation
• Isospin fractionation and isoscaling in dynamical nuclear collisions
• Isoscaling in Light-Ion Induced Reactions and its Statistical Interpretation
• Isotopic Scaling of Heavy Projectile Residues from the collisions of 25 MeV/nucleon 86Kr with 124Sn, 112Sn and 64Ni, 58Ni
• Statistical signatures of critical behavior in small systems
• Dynamical aspects of isoscaling
• Isoscaling Studies of Fission - a Sensitive Probe into the Dynamics of Scission
• Comparison of Canonical and Grand Canonical Models for selected multifragmentation data
• Isoscaling bearing information on the nuclear caloric curve

Cited by in corpus (9)

• Experimental determination of the symmetry energy of a low density nuclear gas
• Isocaling and the Symmetry Energy in the Multifragmentation Regime of Heavy Ion Collisions
• Isoscaling as a measure of Symmetry Energy in the Lattice Gas Model
• Isoscaling and the nuclear EOS
• Isoscaling, Symmetry Energy and Thermodynamic Models
• Exact solution of bond percolation on small arbitrary graphs
• An exact formula for percolation on higher-order cycles
• Symmetry energy from fragment observables in the canonical thermodynamic model
• Isoscaling and the high Temperature limit