1992/05/20 by M. Dong, M. Cristina Marchetti, M. C. Marchetti +3 · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevlett.70.662
12 pages + 3 Postscript figures
arxiv created 1992/05/20 · openalex publication_date 1993/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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\ensuremath∼(F-FT)^\mathrm\ensuremathζ, with \ensuremathζ=0.24\ifmmode±\else\textpm\fi0.1, or by a logarithm, vd\ensuremath∼1/ln(F-FT). The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent \ensuremathν=1.05\ifmmode±\else\textpm\fi0.1.