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

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 st...

Full description

Bibliographic Details
Main Authors: Ferkinghoff-Borg, Jesper, Jensen, Mogens H., Mathiesen, Joachim, Olesen, Poul, Sneppen, Kim
Format: Text
Language:unknown
Published: arXiv 2003
Subjects:
Statistical Mechanics cond-mat.stat-mech
Quantitative Methods q-bio.QM
FOS Physical sciences
FOS Biological sciences
Greenland
Ice Sheet
Online Access:https://dx.doi.org/10.48550/arxiv.cond-mat/0310419
https://arxiv.org/abs/cond-mat/0310419
id ftdatacite:10.48550/arxiv.cond-mat/0310419
record_format openpolar
spelling ftdatacite:10.48550/arxiv.cond-mat/0310419 2023-05-15T16:28:25+02:00 Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature Ferkinghoff-Borg, Jesper Jensen, Mogens H. Mathiesen, Joachim Olesen, Poul Sneppen, Kim 2003 https://dx.doi.org/10.48550/arxiv.cond-mat/0310419 https://arxiv.org/abs/cond-mat/0310419 unknown arXiv https://dx.doi.org/10.1103/physrevlett.91.266103 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ Statistical Mechanics cond-mat.stat-mech Quantitative Methods q-bio.QM FOS Physical sciences FOS Biological sciences article-journal Article ScholarlyArticle Text 2003 ftdatacite https://doi.org/10.48550/arxiv.cond-mat/0310419 https://doi.org/10.1103/physrevlett.91.266103 2022-04-01T16:28:39Z 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 system of nature, namely, the distribution of ice crystal sizes from the Greenland ice sheet and the length distribution of alpha-helices in proteins. : 4 pages, 3 figures, (minor changes) Text Greenland Ice Sheet DataCite Metadata Store (German National Library of Science and Technology) Greenland
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Statistical Mechanics cond-mat.stat-mech
Quantitative Methods q-bio.QM
FOS Physical sciences
FOS Biological sciences
spellingShingle Statistical Mechanics cond-mat.stat-mech
Quantitative Methods q-bio.QM
FOS Physical sciences
FOS Biological sciences
Ferkinghoff-Borg, Jesper
Jensen, Mogens H.
Mathiesen, Joachim
Olesen, Poul
Sneppen, Kim
Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
topic_facet Statistical Mechanics cond-mat.stat-mech
Quantitative Methods q-bio.QM
FOS Physical sciences
FOS Biological sciences
description 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 system of nature, namely, the distribution of ice crystal sizes from the Greenland ice sheet and the length distribution of alpha-helices in proteins. : 4 pages, 3 figures, (minor changes)
format Text
author Ferkinghoff-Borg, Jesper
Jensen, Mogens H.
Mathiesen, Joachim
Olesen, Poul
Sneppen, Kim
author_facet Ferkinghoff-Borg, Jesper
Jensen, Mogens H.
Mathiesen, Joachim
Olesen, Poul
Sneppen, Kim
author_sort Ferkinghoff-Borg, Jesper
title Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
title_short Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
title_full Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
title_fullStr Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
title_full_unstemmed Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
title_sort competition between diffusion and fragmentation: an important evolutionary process of nature
publisher arXiv
publishDate 2003
url https://dx.doi.org/10.48550/arxiv.cond-mat/0310419
https://arxiv.org/abs/cond-mat/0310419
geographic Greenland
geographic_facet Greenland
genre Greenland
Ice Sheet
genre_facet Greenland
Ice Sheet
op_relation https://dx.doi.org/10.1103/physrevlett.91.266103
op_rights Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004
http://arxiv.org/licenses/assumed-1991-2003/
op_doi https://doi.org/10.48550/arxiv.cond-mat/0310419
https://doi.org/10.1103/physrevlett.91.266103
_version_ 1766018058356260864

Similar Items