Novel Scaling of Multiplicity Distributions in Sequential-Fragmentation and Percolation Processes

Abstract
A novel scaling for the distributions of total number of fragments (i.e., multiplicity) is found in the shattering phase of nonequilibrium, sequential-fragmentation process and in the percolation process. It is the counterpart of the Koba-Nielsen-Olesen scaling when multiplicity fluctuations are small. The relations between n-fragment cumulants and two-fragment cumulants provide easy tests to check this scaling experimentally.