Diffusion, Fragmentation And Merging Processes In Ice Crystals, Alpha Helices And Other Systems View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2006

AUTHORS

JESPER FERKINGHOFF-BORG , MOGENS H. JENSEN , POUL OLESEN , JOACHIM MATHIESEN

ABSTRACT

We investigate systems of nature driven by combinations of diffusive growth, size fragmentation and fragment coagulation. In particular we derive and solve analytically rate equations for the size distribution of fragments and demonstrate the applicability of our models in very different systems of nature, ranging from the distribution of ice crystal sizes from the Greenland ice sheet to the length distribution of α-helices in proteins. Initially, we consider processes where coagulation is absent. In this case the diffusion-fragmentation equation can be solved exactly in terms of Bessel functions. Introducing the coagulation term, the full non-linear model can be mapped exactly onto a Riccati equation that has various asymptotic solutions for the distribution function. In particular, we find a standard exponential decay, exp(–x), for large x, and observe a crossover from the Bessel function for intermediate values of x. More... »

PAGES

61-70

References to SciGraph publications

  • 2000-04. Coagulation-Fragmentation Processes in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1980-08. Kinetics of polymerization in JOURNAL OF STATISTICAL PHYSICS
  • Book

    TITLE

    Dynamics of Complex Interconnected Systems: Networks and Bioprocesses

    ISBN

    978-1-4020-5028-2

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/1-4020-5030-5_5

    DOI

    http://dx.doi.org/10.1007/1-4020-5030-5_5

    DIMENSIONS

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    140 rdf:type schema:Organization
     




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