Measuring functional renormalization group fixed-point functions for pinned manifolds

Details Measuring functional renormalization group fixed-point functions for pinned manifolds Measuring functional renormalization group fixed-point functions for pinned manifolds

2006-06-07

arxiv.org/abs/cond-mat/0606160v1

Phys. Rev. Lett. 98 (2007) 155701

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

Exact numerical minimization of interface energies is used to test the functional renormalization group (FRG) analysis for interfaces pinned by quenched disorder. The fixed-point function R(u) (the correlator of the coarse-grained disorder) is computed. In dimensions D=d+1, a linear cusp in R''(u) is confirmed for random bond (d=1,2,3), random field (d=0,2,3), and periodic (d=2,3) disorders. The functional shocks that lead to this cusp are seen. Small, but significant, deviations from 1-loop FRG results are compared to 2-loop corrections. The cross-correlation for two copies of disorder is compared with a recent FRG study of chaos.

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