Phys. Rev. Lett. 98, 155701 (2007) [4 pages]Measuring Functional Renormalization Group Fixed-Point Functions for Pinned ManifoldsReceived 7 June 2006; published 10 April 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.155701
DOI:
10.1103/PhysRevLett.98.155701
PACS:
64.60.Ak, 02.60.Pn, 05.10.Cc, 75.10.Nr
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