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Measuring functional renormalization group fixed-point functions for pinned manifolds | A. Alan Middleton
; Pierre Le Doussal
; Kay Joerg Wiese
; | Date: |
7 Jun 2006 | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | Abstract: | 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. | Source: | arXiv, cond-mat/0606160 | Other source: | [GID 769912] pmid17501361 | Services: | Forum | Review | PDF | Favorites |
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