Dynamics of interface depinning in a disordered medium

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

Research output: Contribution to journalJournal articlepeer-review


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.
Original languageEnglish
Pages (from-to)1483-1488
Number of pages6
JournalJournal de Physique II
Issue number8
Publication statusPublished - Aug 1992


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