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rdf:type
lifeskim:mentions
pubmed:issue
3 Pt 2
pubmed:dateCreated
2004-11-4
pubmed:abstractText
We study numerically the optimal paths in two and three dimensions on various disordered lattices in the limit of strong disorder. We find that the length l of the optimal path scales with geometric distance r , as l approximately r (d(opt) ) with d(opt) =1.22+/-0.01 for d=2 and 1.44+/-0.02 for d=3 , independent of whether the optimization is on a path of weighted bonds or sites, and independent of the lattice or its coordination number. Our finding suggests that the exponent d(opt) is universal, depending only on the dimension of the system.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Sep
pubmed:issn
1539-3755
pubmed:author
pubmed:issnType
Print
pubmed:volume
70
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
035102
pubmed:year
2004
pubmed:articleTitle
Universality of the optimal path in the strong disorder limit.
pubmed:affiliation
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
pubmed:publicationType
Journal Article