Abstract
We address the effect of disorder geometry on the critical force in
disordered elastic systems. We focus on the model system of a long-range
elastic line driven in a random landscape. In the collective pinning
regime. we compute the critical force perturbatively. Not only does our
expression for the critical force confirm previous results on its
scaling with respect to the microscopic disorder parameters, but it also
provides its precise dependence on the disorder geometry (represented by
the disorder two-point correlation function). Our results are
successfully compared with the results of numerical simulations for
random field and random bond disorders.
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