Measuring functional renormalization group fixed-point functions for pinned manifolds

A. Alan Middleton, Pierre Le Doussal, Kay Jörg Wiese

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

Exact numerical minimization of interface energies is used to test the functional renormalization group 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 the 1-loop calculation are compared to 2-loop corrections and chaos is measured.

Original languageEnglish (US)
Article number155701
JournalPhysical Review Letters
Volume98
Issue number15
DOIs
StatePublished - Apr 10 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Measuring functional renormalization group fixed-point functions for pinned manifolds'. Together they form a unique fingerprint.

Cite this