A non-Markovian model of rill erosion | Zendy

Michael Damron | Zendy; C. L. Winter | Zendy

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A non-Markovian model of rill erosion

Author(s) -

Michael Damron,

C. L. Winter

Publication year - 2009

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2009.4.731

Subject(s) - erosion , computer science , rill , streams , markov process , process (computing) , statistical physics , distributed computing , mathematics , geology , physics , statistics , computer network , operating system , paleontology

We introduce a new model for rill erosion. We start with a network similar tothat in the Discrete Web and instantiate a dynamics which makes the processhighly non-Markovian. The behavior of nodes in the streams is similar to thebehavior of Polya urns with time-dependent input. In this paper we use acombination of rigorous arguments and simulation results to show that the modelexhibits many properties of rill erosion; in particular, nodes which are deeperin the network tend to switch less quickly.

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