Source:http://linkedlifedata.com/resource/pubmed/id/21405802
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
2 Pt 1
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| pubmed:dateCreated |
2011-3-16
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| pubmed:abstractText |
The distribution of the first passage times (FPT) of a one-dimensional random walker to a target site follows a power law F(t)~t(-3/2). We generalize this result to another situation pertinent to compact exploration and consider the FPT of a random walker with specific source and target points on an infinite fractal structure with spectral dimension d(s)<2. We show that the probability density of the first return to the origin has the form F(t)~t(d(s)/2-2), and the FPT to a specific target at distance r follows the law F(r,t)~r(d(w)-d(f)) t(d(s)/2-2), where d(w) and d(f) are the walk dimension and the fractal dimension of the structure, respectively. The distance dependence of F(r,t) reproduces the one of the mean FPT of a random walk in a confined domain.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Feb
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| pubmed:issn |
1550-2376
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| pubmed:author | |
| pubmed:issnType |
Electronic
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| pubmed:volume |
83
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
020104
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| pubmed:year |
2011
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| pubmed:articleTitle |
Distribution of first-passage times to specific targets on compactly explored fractal structures.
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| pubmed:affiliation |
School of Chemistry, Raymond & Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel Aviv 69978, Israel. merozyas@post.tau.ac.il
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| pubmed:publicationType |
Journal Article
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