Title

Measuring Functional Renormalization Group Fixed-Point Functions for Pinned Manifolds

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Pierre Le Doussal, 2CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure
Kay Jorg Wiese, 2CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure

Document Type

Article

Date

6-7-2006

Language

English

Disciplines

Physics

Description/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.

Additional Information

4 pages, 4 figures More information at http://arxiv.org/abs/cond-mat/0606160

Recommended Citation

Middleton, Alan; Doussal, Pierre Le; and Wiese, Kay Jorg, "Measuring Functional Renormalization Group Fixed-Point Functions for Pinned Manifolds" (2006). Physics - All Scholarship. 183.
https://surface.syr.edu/phy/183

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.