Time Invariant Scaling in Discrete Fragmentation Models
Abstract
Description
Linear rate equations are used to describe the cascading decay of an initial heavy cluster into fragments. We consider moments of arbitrary orders of the mass multiplicity spectrum and derive scaling properties pertaining to their time evolution. We suggest that the mass weighted multiplicity is a suitable observable for the discovery of scaling. Numerical tests validate such properties, even for moderate values of the initial mass (nuclei, percolation clusters, jets of particles etc.). Finite size effects can be simply parametrized.
9pages + 9figures available on request to the authors, Saclay Preprint T94/091, Plain TEX
9pages + 9figures available on request to the authors, Saclay Preprint T94/091, Plain TEX