Universality of the optimal path in the strong disorder limit

Sergey V. Buldyrev; Shlomo Havlin; Eduardo López; H. Eugene Stanley

doi:10.1103/physreve.70.035102

Universality of the optimal path in the strong disorder limit

Sergey V. Buldyrev, Shlomo Havlin, Eduardo López, H. Eugene Stanley

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The optimal paths in two and three dimensions on various disordered lattices in the limit of strong disorder were investigated. It was observed that the length l of the optimal path scales with geometric distance r, independent of whether the optimization is on a path of weighted bonds or sites, and independent of the lattice or its coordination number. It was suggested that the scaling exponent d _opt is universal, depending on the dimension of the system. It was found that the value of d _opt are also universal for all lattice types studied for both site and bond problems.

Original language	English
Article number	035102
Pages (from-to)	035102-1-035102-4
Journal	Physical Review E
Volume	70
Issue number	3 2
DOIs	https://doi.org/10.1103/physreve.70.035102
State	Published - Sep 2004

Bibliographical note

Funding Information:
We wish to thank P. Grassberger for discussions and the Israel Science Foundation and the Office of Naval Research for support.

Funding

We wish to thank P. Grassberger for discussions and the Israel Science Foundation and the Office of Naval Research for support.

Funders	Funder number
Office of Naval Research
Israel Science Foundation

Access to Document

10.1103/physreve.70.035102

Cite this

@article{78e118b83a5542f994a3465393294e0a,

title = "Universality of the optimal path in the strong disorder limit",

abstract = "The optimal paths in two and three dimensions on various disordered lattices in the limit of strong disorder were investigated. It was observed that the length l of the optimal path scales with geometric distance r, independent of whether the optimization is on a path of weighted bonds or sites, and independent of the lattice or its coordination number. It was suggested that the scaling exponent d opt is universal, depending on the dimension of the system. It was found that the value of d opt are also universal for all lattice types studied for both site and bond problems.",

author = "Buldyrev, \{Sergey V.\} and Shlomo Havlin and Eduardo L{\'o}pez and Stanley, \{H. Eugene\}",

note = "Funding Information: We wish to thank P. Grassberger for discussions and the Israel Science Foundation and the Office of Naval Research for support.",

year = "2004",

month = sep,

doi = "10.1103/physreve.70.035102",

language = "אנגלית",

volume = "70",

pages = "035102--1--035102--4",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "American Physical Society",

number = "3 2",

}

TY - JOUR

T1 - Universality of the optimal path in the strong disorder limit

AU - Buldyrev, Sergey V.

AU - Havlin, Shlomo

AU - López, Eduardo

AU - Stanley, H. Eugene

N1 - Funding Information: We wish to thank P. Grassberger for discussions and the Israel Science Foundation and the Office of Naval Research for support.

PY - 2004/9

Y1 - 2004/9

N2 - The optimal paths in two and three dimensions on various disordered lattices in the limit of strong disorder were investigated. It was observed that the length l of the optimal path scales with geometric distance r, independent of whether the optimization is on a path of weighted bonds or sites, and independent of the lattice or its coordination number. It was suggested that the scaling exponent d opt is universal, depending on the dimension of the system. It was found that the value of d opt are also universal for all lattice types studied for both site and bond problems.

AB - The optimal paths in two and three dimensions on various disordered lattices in the limit of strong disorder were investigated. It was observed that the length l of the optimal path scales with geometric distance r, independent of whether the optimization is on a path of weighted bonds or sites, and independent of the lattice or its coordination number. It was suggested that the scaling exponent d opt is universal, depending on the dimension of the system. It was found that the value of d opt are also universal for all lattice types studied for both site and bond problems.

UR - https://www.scopus.com/pages/publications/37649027775

U2 - 10.1103/physreve.70.035102

DO - 10.1103/physreve.70.035102

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:37649027775

SN - 1539-3755

VL - 70

SP - 035102-1-035102-4

JO - Physical Review E

JF - Physical Review E

IS - 3 2

M1 - 035102

ER -

Universality of the optimal path in the strong disorder limit

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this