Elastic String in a Random Medium

Details Elastic String in a Random Medium Elastic String in a Random Medium

1995-12-04

arxiv.org/abs/cond-mat/9512027v1

Physics

Condensed Matter

9 pages, REVTEX, figures available upon request from hmakse@miranda.bu.edu

Scientific paper

10.1103/PhysRevE.53.6573

We consider a one dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an external force, moves in a medium with quenched disorder. We present evidence that the consideration of longitudinal fluctuations leads to nonlinear behavior in the equation of motion which is {\it kinematically} generated by the motion of the string. The strength of the nonlinear effects depends on the anisotropy of the medium and the distance from the depinning transition. On the other hand the consideration of restricted solid on solid conditions imposed to the growth of the string leads to a nonlinear term in the equation of motion with a {\it diverging} coefficient at the depinning transition.

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