Dynamics of interface depinning in a disordered medium

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

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 ϵ= 4-D>0, where D is the interface dimension. At the transition, the dynamics is superdiffusive with a dynamical exponent z=2-2ϵ/9+O(ϵ2), and the interface height difference over a distance L grows as Lζ with ζ= ϵ/3+O(ϵ2). The interface velocity in the moving phase vanishes as (F-Fc)θ with θ=1-ϵ/9+O(ϵ2) when the driving force F approaches its threshold value Fc.

Domaines: Articles anciens

Thomas Nattermann, Semjon Stepanow, Lei-Han Tang, Heiko Leschhorn. Dynamics of interface depinning in a disordered medium. Journal de Physique II, 1992, 2 (8), pp.1483-1488. ⟨10.1051/jp2:1992214⟩. ⟨jpa-00247744⟩