2005/04/12 by A. Dávila, Alan Davila, C. Escudero +4
Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Homogeneous #Isospin #Mathematics #Nuclear physics research studies #Particle physics #Percolation (cognitive psychology) #Percolation threshold #Physics #Quantum mechanics #Simple (philosophy) #Statistical Mechanics and Entropy #Statistical physics #Theoretical and Computational Physics #nucl-th
paper · pdf · doi:10.1016/j.physa.2006.07.049
published as Physica A374 (2007) 663-668
arxiv created 2005/04/12 · openalex publication_date 2006/09/26 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.