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Time invariant scaling in discrete fragmentation processes

1994/09/13 by B. G. Giraud, R. Peschanski · 2 citations
Environmental Science · Mathematics · Physics and Astronomy · #Computer science #Fragmentation (computing) #Geometry #Groundwater flow and contamination studies #Invariant (physics) #Mathematical physics #Mathematics #Physics #Scaling #Soil Geostatistics and Mapping #Statistical physics #Theoretical and Computational Physics #hep-ph #nucl-th

paper · pdf · doi:10.1016/0370-2693(94)01399-w

published in Physics Letters B 343(1-4), 415-420 (Elsevier BV) · 9pages + 9figures available on request to the authors, Saclay Preprint T94/091, Plain TEX

arxiv created 1994/09/13 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations