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28 March 2024
 
  » arxiv » cond-mat/0606160

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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
AbstractExact 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
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