AVALANCHE SIZE DISTRIBUTION IN THE TOOM INTERFACE

Abstract

We present numerical data for the height-height correlation function and for the avalanche size distribution in the three-dimensional Toom interface. The height-height correlation function behaves the same as the interfacial fluctuation width, which diverges logarithmically with space and time for both the unbiased and biased cases. The avalanche size, defined by the number of changing sites caused by a single noise process, exhibits an exponentially decaying distribution, which is in contrast to the power-law distributions appearing in typical self-organized critical phenomena. We also generalize the Toom model to arbitrary dimensions.