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Geometrical aspects of isoscaling

A. Dávila·C. Escudero·J. A. López·C. O. Dorso
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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.

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A. Dávila, C. Escudero, J. A. López, C. O. Dorso. 2005-04-12. Geometrical aspects of isoscaling. https://doi.org/10.1016/j.physa.2006.07.049

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