Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature

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dc.creatorFerkinghoff-Borg, Jesper
dc.creatorJensen, Mogens H.
dc.creatorMathiesen, Joachim
dc.creatorOlesen, Poul
dc.creatorSneppen, Kim
dc.date2003-10-17
dc.date2003-12-29
dc.date.accessioned2026-07-07T02:54:16Z
dc.date.available2026-07-07T02:54:16Z
dc.descriptionWe investigate systems of nature where the common physical processes diffusion and fragmentation compete. We derive a rate equation for the size distribution of fragments. The equation leads to a third order differential equation which we solve exactly in terms of Bessel functions. The stationary state is a universal Bessel distribution described by one parameter, which fits perfectly experimental data from two very different system of nature, namely, the distribution of ice crystal sizes from the Greenland ice sheet and the length distribution of alpha-helices in proteins.
dc.description4 pages, 3 figures, (minor changes)
dc.identifierhttps://arxiv.org/abs/cond-mat/0310419
dc.identifierhttp://arxiv.org/abs/cond-mat/0310419
dc.identifierPhys. Rev. Lett. 91, 266103 (2003)
dc.identifierdoi:10.1103/PhysRevLett.91.266103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22475
dc.subjectStatistical Mechanics
dc.subjectQuantitative Methods
dc.titleCompetition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
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