Transient Dynamics of Pinning

Original · EN

We study the evolution of an elastic string into the pinned state at driving forces slightly below the depinning threshold force Fc. We quantify the temporal evolution of the string by an 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 (tₚ-t)ψ, where tₚ is the pinning time in the finite system involved.