TY - JOUR
T1 - Measuring functional renormalization group fixed-point functions for pinned manifolds
AU - Middleton, A. Alan
AU - Doussal, Pierre Le
AU - Wiese, Kay Jörg
PY - 2007/4/10
Y1 - 2007/4/10
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.98.155701
DO - 10.1103/PhysRevLett.98.155701
M3 - Article
AN - SCOPUS:34147124151
SN - 0031-9007
VL - 98
JO - Physical Review Letters
JF - Physical Review Letters
IS - 15
M1 - 155701
ER -