Elastic String in a Random Potential

Details Elastic String in a Random Potential Elastic String in a Random Potential

1992-05-20

arxiv.org/abs/cond-mat/9205010v1

Physics

Condensed Matter

12 pages + 3 Postscript figures

Scientific paper

10.1103/PhysRevLett.70.662

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 $F_T$ 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 $v_d\sim (F-F_T)^\zeta$, with $\zeta=0.24\pm0.1$, or by a logarithm, $v_d\sim1/\ln(F-F_T)$. The divergence of the velocity-velocity correlation length at threshold is characterized by an exponent $\nu=1.05\pm0.1$.

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