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Zipf's Law and the Universality Class of the Fragmentation Phase Transition

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.2710600· OSTI ID:21054836
 [1];  [1];  [2]
  1. Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824-2320 (United States)
  2. Hope College, Holland, MI 49423 (United States)
We show that Zipf's Law for the largest clusters is not valid in an exact sense at the critical point of the fragmentation phase transition, contrary to previous claims. Instead, the extracted distributions of the largest clusters reflects the choice of universality class through the value of the critical exponent {tau}.
OSTI ID:
21054836
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 884; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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