Elastic string in a random potential

M. Dong, M Cristina Marchetti, Arthur Alan Middleton, V. Vinokur

Research output: Contribution to journalArticle

75 Citations (Scopus)

Abstract

We have studied numerically the dynamics of a directed elastic string in a two-dimensional array of quenched random impurities. The string is driven by a constant transverse force and thermal fluctuations are neglected. There is a transition from pinned to unpinned behavior at a critical value FT of the driving force. At the transition the average string velocity scales with the driving force. The scaling is equally well described by a power law vd∼(F-FT)ζ, with ζ=0.24±0.1, or by a logarithm, vd∼1/ln(F-FT). The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent ν=1.05±0.1.

Original languageEnglish (US)
Pages (from-to)662-665
Number of pages4
JournalPhysical Review Letters
Volume70
Issue number5
DOIs
StatePublished - 1993

Fingerprint

strings
logarithms
divergence
exponents
scaling
impurities
thresholds

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Elastic string in a random potential. / Dong, M.; Marchetti, M Cristina; Middleton, Arthur Alan; Vinokur, V.

In: Physical Review Letters, Vol. 70, No. 5, 1993, p. 662-665.

Research output: Contribution to journalArticle

Dong, M. ; Marchetti, M Cristina ; Middleton, Arthur Alan ; Vinokur, V. / Elastic string in a random potential. In: Physical Review Letters. 1993 ; Vol. 70, No. 5. pp. 662-665.
@article{172b5be387864279acf313498cee08dc,
title = "Elastic string in a random potential",
abstract = "We have studied numerically the dynamics of a directed elastic string in a two-dimensional array of quenched random impurities. The string is driven by a constant transverse force and thermal fluctuations are neglected. There is a transition from pinned to unpinned behavior at a critical value FT of the driving force. At the transition the average string velocity scales with the driving force. The scaling is equally well described by a power law vd∼(F-FT)ζ, with ζ=0.24±0.1, or by a logarithm, vd∼1/ln(F-FT). The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent ν=1.05±0.1.",
author = "M. Dong and Marchetti, {M Cristina} and Middleton, {Arthur Alan} and V. Vinokur",
year = "1993",
doi = "10.1103/PhysRevLett.70.662",
language = "English (US)",
volume = "70",
pages = "662--665",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Elastic string in a random potential

AU - Dong, M.

AU - Marchetti, M Cristina

AU - Middleton, Arthur Alan

AU - Vinokur, V.

PY - 1993

Y1 - 1993

N2 - We have studied numerically the dynamics of a directed elastic string in a two-dimensional array of quenched random impurities. The string is driven by a constant transverse force and thermal fluctuations are neglected. There is a transition from pinned to unpinned behavior at a critical value FT of the driving force. At the transition the average string velocity scales with the driving force. The scaling is equally well described by a power law vd∼(F-FT)ζ, with ζ=0.24±0.1, or by a logarithm, vd∼1/ln(F-FT). The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent ν=1.05±0.1.

AB - We have studied numerically the dynamics of a directed elastic string in a two-dimensional array of quenched random impurities. The string is driven by a constant transverse force and thermal fluctuations are neglected. There is a transition from pinned to unpinned behavior at a critical value FT of the driving force. At the transition the average string velocity scales with the driving force. The scaling is equally well described by a power law vd∼(F-FT)ζ, with ζ=0.24±0.1, or by a logarithm, vd∼1/ln(F-FT). The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent ν=1.05±0.1.

UR - http://www.scopus.com/inward/record.url?scp=4043102439&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4043102439&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.70.662

DO - 10.1103/PhysRevLett.70.662

M3 - Article

AN - SCOPUS:4043102439

VL - 70

SP - 662

EP - 665

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 5

ER -