Title Information
Title
Code library and video for "Depinning as a coagulation process"
Name: Personal
Name Part
İşeri, Melih
Role
Role Term: Text (marcrelator)
creator
Name: Personal
Name Part
Kaspar, David C.
Role
Role Term: Text (marcrelator)
creator
Type of Resource
mixed material
Origin Information
Place
Place Term: Code (MARC Country Code)
riu
Place
Place Term
Providence, RI
Publisher
Brown University
Date Issued (encoding="w3cdtf", keyDate="yes")
2016
Issuance
monographic
Physical Description
Extent
1 mp4, 1 tar.gz, 1 zip file
Abstract
We consider a one-dimensional sandpile model which mimics an elastic string of particles driven through a strongly pinning periodic environment with phase disorder. The evolution towards depinning occurs by the triggering of avalanches in regions of activity which are at first isolated but later grow and merge. For large system sizes the dynamically critical behavior is dominated by the coagulation of these active regions. Our analysis of the evolution and numerical simulations show that the observed sizes of active regions is well-described by a Smoluchowski coagulation equation, allowing us to predict correlation lengths and avalanche sizes. Here we provide the Python source code used in this project, together with an animation showing the active region size distribution together with the Smoluchowski solution as time varies.
Note
This research is supported by funding from the National Science Foundation, Grant ID DMS-1148284
Subject (Local)
Topic
Dynamic criticality
Subject (Local)
Topic
Sandpile
Subject (Local)
Topic
Depinning
Subject (Local)
Topic
Coagulation
Subject (Local)
Topic
Smoluchowski equation
Related Item: Host (displayLabel="Published in")
Title Information
Title
Depinning as a coagulation process
Title Information: Alternative (displayLabel="Journal title")
Title
Europhysics Letters
Part Number
115(4)
Name: Personal
Name Part
İşeri, Melih
Role
Role Term: Text
author
Name: Personal
Name Part
Kaspar, David C.
Role
Role Term: Text
author
Name: Personal
Name Part
Mungan, M.
Role
Role Term: Text
author
Origin Information
Date Issued
2016
Identifier: DOI
http://dx.doi.org/10.1209/0295-5-75/115/46003
Access Condition: use and reproduction (href="https://www.gnu.org/licenses/gpl.txt")
This work is licensed under a GNU GPL3 License
Access Condition: logo (href="https://www.gnu.org/graphics/gplv3-88x31.png")
Identifier: DOI
https://doi.org/10.7301/Z0668B3H