Quantum tunneling fragmentation model

A nonthermal quantum mechanical statistical fragmentation model based on tu nneling of particles through potential barriers is studied in compact two- and three-dimensional systems. It is shown that this fragmentation dynamics gives origin to several static and dynamic scaling relations. The critical exponents are found and compared with those obtained in classical statisti cal models of fragmentation of general interest, in particular with thermal fragmentation involving classical processes over potential barriers. Besid es its general theoretical interest, the fragmentation dynamics discussed h ere is complementary to classical fragmentation dynamics of interest in che mical kinetics and can be useful in the study of a number of other dynamic processes such as nuclear fragmentation.