The Large Scale Energy Landscapes of Randomly Pinned Objects

Details The Large Scale Energy Landscapes of Randomly Pinned Objects The Large Scale Energy Landscapes of Randomly Pinned Objects

1996-01-29

arxiv.org/abs/cond-mat/9601137v1

Physics

Condensed Matter

14 pages, two postcript figures attached

Scientific paper

10.1051/jp1:1996112

We discuss the large scale effective potential for elastic objects (manifolds) in the presence of a random pinning potential, from the point of view of the Functional Renormalisation Group (FRG) and of the replica method. Both approaches suggest that the energy landscape at large scales is a succession of parabolic wells of random depth, matching on singular points where the effective force is discontinuous. These parabolas are themselves subdivided into smaller parabolas, corresponding to the motion of smaller length scales, in a hierarchical manner. Consequences for the dynamics of these pinned objects are underlined.

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