Zipf's law in Nuclear Multifragmentation and Percolation Theory

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dc.creatorPaech, K.
dc.creatorBauer, W.
dc.creatorPratt, S.
dc.date2007-06-07
dc.date.accessioned2026-07-07T11:16:40Z
dc.date.available2026-07-07T11:16:40Z
dc.descriptionWe investigate the average sizes of the $n$ largest fragments in nuclear multifragmentation events near the critical point of the nuclear matter phase diagram. We perform analytic calculations employing Poisson statistics as well as Monte Carlo simulations of the percolation type. We find that previous claims of manifestations of Zipf's Law in the rank-ordered fragment size distributions are not born out in our result, neither in finite nor infinite systems. Instead, we find that Zipf-Mandelbrot distributions are needed to describe the results, and we show how one can derive them in the infinite size limit. However, we agree with previous authors that the investigation of rank-ordered fragment size distributions is an alternative way to look for the critical point in the nuclear matter diagram.
dc.description8 pages, 11 figures, submitted to PRC
dc.identifierhttps://arxiv.org/abs/0706.0913
dc.identifierhttp://arxiv.org/abs/0706.0913
dc.identifierPhys.Rev.C76:054603,2007
dc.identifierdoi:10.1103/PhysRevC.76.054603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192750
dc.subjectNuclear Theory
dc.titleZipf's law in Nuclear Multifragmentation and Percolation Theory
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