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Transient Dynamics of Pinning

G. K. Leaf·S. Obukhov·S. Scheidl·V. M. Vinokur
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Abstract

We study the evolution of an elastic string into the pinned state at driving forces slightly below the depinning threshold force $F_c$. We quantify the temporal evolution of the string by an {\it activity function} $A(t)$ representing the fraction of active nodes at time $t$ and find three distinct dynamic regimes. There is an initial stage of fast decay of the activity; in the second, intermediate, regime, an exponential decay of activity is observed; and, eventually, the fast collapse of the string towards its final pinned state results in an decay in the activity with $\Am \sim (t_p-t)^ψ$, where $t_p$ is the pinning time in the finite system involved.

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G. K. Leaf, S. Obukhov, S. Scheidl, V. M. Vinokur. 2000-02-21. Transient Dynamics of Pinning. https://arxiv.org/abs/cond-mat/0002324

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