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

47 Scopus citations


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
Issue number15
StatePublished - Apr 10 2007

ASJC Scopus subject areas

  • General Physics and Astronomy


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