Dynamics of surface roughening with quenched disorder

S. Havlin; L. A.N. Amaral; S. V. Buldyrev; S. T. Harrington; H. E. Stanley

doi:10.1103/PhysRevLett.74.4205

Dynamics of surface roughening with quenched disorder

S. Havlin, L. A.N. Amaral, S. V. Buldyrev, S. T. Harrington, H. E. Stanley

Department of Physics

Boston University

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

20 Scopus citations

Abstract

We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.

Original language	English
Pages (from-to)	4205-4208
Number of pages	4
Journal	Physical Review Letters
Volume	74
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.74.4205
State	Published - 1995

Access to Document

10.1103/PhysRevLett.74.4205

Cite this

@article{5f86c6644c004641b379e71cdb350591,

title = "Dynamics of surface roughening with quenched disorder",

abstract = "We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.",

author = "S. Havlin and Amaral, {L. A.N.} and Buldyrev, {S. V.} and Harrington, {S. T.} and Stanley, {H. E.}",

year = "1995",

doi = "10.1103/PhysRevLett.74.4205",

language = "אנגלית",

volume = "74",

pages = "4205--4208",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "21",

}

TY - JOUR

T1 - Dynamics of surface roughening with quenched disorder

AU - Havlin, S.

AU - Amaral, L. A.N.

AU - Buldyrev, S. V.

AU - Harrington, S. T.

AU - Stanley, H. E.

PY - 1995

Y1 - 1995

N2 - We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.

AB - We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.

UR - http://www.scopus.com/inward/record.url?scp=4243831233&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.74.4205

DO - 10.1103/PhysRevLett.74.4205

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

AN - SCOPUS:4243831233

SN - 0031-9007

VL - 74

SP - 4205

EP - 4208

JO - Physical Review Letters

JF - Physical Review Letters

IS - 21

ER -

Dynamics of surface roughening with quenched disorder

Abstract

Access to Document

Other files and links

Fingerprint

Cite this