Competition between diffusion and fragmentation: an important evolutionary process of nature

Jesper Ferkinghoff-Borg, Mogens Høgh Jensen, Joachim Mathiesen, Poul Olesen, Lim Sneppen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We 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 systems of nature, namely, the distribution of ice-crystal sizes from the Greenland ice sheet and the length distribution of helices in proteins.
Original languageEnglish
JournalPhysical Review Letters
Volume91
Pages (from-to)266103-266106
ISSN0031-9007
Publication statusPublished - 2003
Externally publishedYes

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