MULTIDIFFUSION IN CRITICAL-DYNAMICS OF STRINGS AND MEMBRANES

We study dynamical roughening of strings which do not break the symmet ry either parallel or vertical to the overall suspension. The suggeste d nonlocal dynamics enforces a buildup of long-range correlations and the system achieves self-organized criticality with a universality cla ss which exhibits nontrivial temporal scalings and power-law-correlate d activity along the string, even though only localized Gaussian noise is applied. We observe multiscaling of the temporal behavior both per pendicular and parallel (multidiffusion) to the evolving string at cri ticality.