The Fragmentation Kernel in Multinary/Multicomponent Fragmentation

Abstract: The fragmentation equation is commonly expressed in terms of two functions, the rate of fragmentation and the mean number of fragments. In the case of binary fragmentation an alternative description is possible based on the fragmentation kernel, a function from which the rate of fragmentation and the mean distribution of fragments can be obtained. We extend the fragmentation kernel to multinary/multicomponent fragmentation and derive expressions for certain special cases of random and non random fragmentation.