Model of a fragmentation process and its power-law behavior

Abstract

A simple model for understanding the qualitative features of a fragmentation process is proposed. At a particular point of a tuning parameter of this model, the fragment-size distribution has a scale-invariant power-law behavior. At relatively low values of this parameter, evaporation modes dominate and at high values of the parameter, multifragmentation takes place. The model is exactly soluble in all regimes of the tuning parameter. A unifying connection between evaporation and multifragmentation is found.