Multidiffusion in critical dynamics of strings and membranes

Kim Sneppen and Mogens H. Jensen
Phys. Rev. E 49, 919 – Published 1 January 1994
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Abstract

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

  • Received 29 March 1993

DOI:https://doi.org/10.1103/PhysRevE.49.919

©1994 American Physical Society

Authors & Affiliations

Kim Sneppen and Mogens H. Jensen

  • Niels Bohr Institute and NORDITA, Blegdamsvej 17, DK-2100 Copenhagen O/, Denmark

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Vol. 49, Iss. 1 — January 1994

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