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INVERSE AVALANCHES IN THE ABELIAN SANDPILE MODEL

DSpace at IIT Bombay

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Field Value
 
Title INVERSE AVALANCHES IN THE ABELIAN SANDPILE MODEL
 
Creator DHAR, D
MANNA, SS
 
Subject self-organized criticality
 
Description We define and study the inverse of particle addition process in the Abelian sandpile model. We show how to obtain the unique recurrent configuration corresponding to a single particle deletion by a sequence of operations called inverse avalanches. We study the probability distribution of s1, the number of ''untopplings'' in the first inverse avalanche. For a square lattice, we determine Prob(s1) exactly for s1 = 0, 1, 2, and 3. For large s1, we show that Prob(s1) varies as s1(-11/8). In the direct avalanches, this is related to the probability distribution of the number of sites which topple as often as the site where the particle was added. These results are verified by numerical simulations.
 
Publisher AMERICAN PHYSICAL SOC
 
Date 2011-07-17T15:18:23Z
2011-12-26T12:50:22Z
2011-12-27T05:48:16Z
2011-07-17T15:18:23Z
2011-12-26T12:50:22Z
2011-12-27T05:48:16Z
1994
 
Type Article
 
Identifier PHYSICAL REVIEW E, 49(4), 2684-2687
1063-651X
http://dx.doi.org/10.1103/PhysRevE.49.2684
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4767
http://hdl.handle.net/10054/4767
 
Language en