Measuring functional renormalization group fixed-point functions for pinned manifolds
Disordered Systems and Neural Networks
2013-05-29 v1 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.
Cite
@article{arxiv.cond-mat/0606160,
title = {Measuring functional renormalization group fixed-point functions for pinned manifolds},
author = {A. Alan Middleton and Pierre Le Doussal and Kay Joerg Wiese},
journal= {arXiv preprint arXiv:cond-mat/0606160},
year = {2013}
}
Comments
4 pages, 4 figures