Dynamics of interface depinning in a disordered medium

Thomas Nattermann; Semjon Stepanow; Lei Han Tang; Heiko Leschhorn

doi:10.1051/jp2:1992214

Dynamics of interface depinning in a disordered medium

Thomas Nattermann, Semjon Stepanow, Lei Han Tang, Heiko Leschhorn

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

Abstract

The dynamics of a driven interface in a disordered medium close to the depinning threshold is analyzed. By a functional renormalization group scheme exponents characterizing the depinning transition are obtained to the first order in e = 4 D > 0, where D is the interface dimension. At the transition, the dynamics is superdiffusive with a dynamical exponent z = 2 2e/9 + O(e²), and the interface height difference over a distance L grows as Ll with ( = e/3 + O(e²). The interface velocity in the moving phase vanishes as (F Fc)~ with 8 = 1 e/9 + O(e²) when the driving force F approaches its threshold value P_C.

Original language	English
Pages (from-to)	1483-1488
Number of pages	6
Journal	Journal de Physique II
Volume	2
Issue number	8
DOIs	https://doi.org/10.1051/jp2:1992214
Publication status	Published - Aug 1992

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title = "Dynamics of interface depinning in a disordered medium",

abstract = "The dynamics of a driven interface in a disordered medium close to the depinning threshold is analyzed. By a functional renormalization group scheme exponents characterizing the depinning transition are obtained to the first order in e = 4 D > 0, where D is the interface dimension. At the transition, the dynamics is superdiffusive with a dynamical exponent z = 2 2e/9 + O(e2), and the interface height difference over a distance L grows as Ll with ( = e/3 + O(e2). The interface velocity in the moving phase vanishes as (F Fc)~ with 8 = 1 e/9 + O(e2) when the driving force F approaches its threshold value PC.",

author = "Thomas Nattermann and Semjon Stepanow and Tang, {Lei Han} and Heiko Leschhorn",

note = "Funding information: We would like to thank Daniel Fisher who kindly sent us preprints of his recent work with Narayan on pinning of charge-density-waves, which inspired our analysis of the dynamics beyond Lc. The research is supported by the Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 166 and 237. Publisher copyright: {\textcopyright} Les Editions de Physique 1992",

year = "1992",

month = aug,

doi = "10.1051/jp2:1992214",

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volume = "2",

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TY - JOUR

T1 - Dynamics of interface depinning in a disordered medium

AU - Nattermann, Thomas

AU - Stepanow, Semjon

AU - Tang, Lei Han

AU - Leschhorn, Heiko

N1 - Funding information: We would like to thank Daniel Fisher who kindly sent us preprints of his recent work with Narayan on pinning of charge-density-waves, which inspired our analysis of the dynamics beyond Lc. The research is supported by the Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 166 and 237. Publisher copyright: © Les Editions de Physique 1992

PY - 1992/8

Y1 - 1992/8

N2 - The dynamics of a driven interface in a disordered medium close to the depinning threshold is analyzed. By a functional renormalization group scheme exponents characterizing the depinning transition are obtained to the first order in e = 4 D > 0, where D is the interface dimension. At the transition, the dynamics is superdiffusive with a dynamical exponent z = 2 2e/9 + O(e2), and the interface height difference over a distance L grows as Ll with ( = e/3 + O(e2). The interface velocity in the moving phase vanishes as (F Fc)~ with 8 = 1 e/9 + O(e2) when the driving force F approaches its threshold value PC.

AB - The dynamics of a driven interface in a disordered medium close to the depinning threshold is analyzed. By a functional renormalization group scheme exponents characterizing the depinning transition are obtained to the first order in e = 4 D > 0, where D is the interface dimension. At the transition, the dynamics is superdiffusive with a dynamical exponent z = 2 2e/9 + O(e2), and the interface height difference over a distance L grows as Ll with ( = e/3 + O(e2). The interface velocity in the moving phase vanishes as (F Fc)~ with 8 = 1 e/9 + O(e2) when the driving force F approaches its threshold value PC.

UR - https://jp2.journaldephysique.org/en/articles/jp2/abs/1992/08/contents/contents.html

U2 - 10.1051/jp2:1992214

DO - 10.1051/jp2:1992214

M3 - Journal article

SN - 1155-4312

VL - 2

SP - 1483

EP - 1488

JO - Journal de Physique II

JF - Journal de Physique II

IS - 8

ER -

Dynamics of interface depinning in a disordered medium

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