Time Invariant Scaling in Discrete Fragmentation Models

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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9pages + 9figures available on request to the authors, Saclay Preprint T94/091, Plain TEX

Scientific paper

10.1016/0370-2693(94)01399-W

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.

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