Middleton A Alan, Le Doussal Pierre, Wiese Kay Jörg
Department of Physics, Syracuse University, Syracuse, New York 13244, USA.
Phys Rev Lett. 2007 Apr 13;98(15):155701. doi: 10.1103/PhysRevLett.98.155701. Epub 2007 Apr 10.
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.
通过精确数值最小化界面能来检验针对由淬火无序钉扎的界面的泛函重整化群分析。计算了定点函数(R(u))（粗粒化无序的关联函数）。在维度(D = d + 1)中，对于随机键（(d = 1, 2, 3)）、随机场（(d = 0, 2, 3)）和周期性（(d = 2, 3)）无序，证实了(R''(u))中的线性尖点。观察到导致这种尖点的泛函激波。将与单圈计算的微小但显著的偏差与双圈修正进行比较，并测量混沌。
