### 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 language | English (US) |
---|---|

Pages (from-to) | 662-665 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 70 |

Issue number | 5 |

DOIs | |

State | Published - 1993 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*70*(5), 662-665. https://doi.org/10.1103/PhysRevLett.70.662

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

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 70, no. 5, pp. 662-665. https://doi.org/10.1103/PhysRevLett.70.662

}

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 -