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http://hdl.handle.net/1942/2685
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | VANDERZANDE, Carlo | - |
dc.contributor.author | DAERDEN, Frank | - |
dc.date.accessioned | 2007-11-15T16:26:38Z | - |
dc.date.available | 2007-11-15T16:26:38Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | PHYSICAL REVIEW E, 6303(3) | - |
dc.identifier.issn | 1063-651X | - |
dc.identifier.uri | http://hdl.handle.net/1942/2685 | - |
dc.description.abstract | We show that the dissipative Abelian sandpile on a graph L can be related to a random walk on a graph that consists of L extended with a trapping site. From this relation it can be shown, using exact results and a scaling assumption, that the correlation length exponent nu of the dissipative sandpiles always equals 1/d(w) where d(w) is the fractal dimension of the random walker. This leads to a new understanding of the known result that v = 1/2 on any Euclidean lattice. Our result is, however, more general, and as an example we also present exact data for finite Sierpinski gaskets, which fully confirm our predictions. | - |
dc.language.iso | en | - |
dc.publisher | AMERICAN PHYSICAL SOC | - |
dc.title | Dissipative Abelian sandpiles and random walks | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 3 | - |
dc.identifier.volume | 6303 | - |
local.format.pages | 4 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Limburgs Univ Ctr, Dept Wiskunde Nat Informat, B-3590 Diepenbeek, Belgium.Vanderzande, C, Limburgs Univ Ctr, Dept Wiskunde Nat Informat, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000167623900003 | - |
item.fullcitation | VANDERZANDE, Carlo & DAERDEN, Frank (2001) Dissipative Abelian sandpiles and random walks. In: PHYSICAL REVIEW E, 6303(3). | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2002 | - |
item.contributor | VANDERZANDE, Carlo | - |
item.contributor | DAERDEN, Frank | - |
item.accessRights | Closed Access | - |
crisitem.journal.issn | 1063-651X | - |
Appears in Collections: | Research publications |
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