Avalanche size distribution in the Toom interface

Details Avalanche size distribution in the Toom interface Avalanche size distribution in the Toom interface

1993-09-22

arxiv.org/abs/cond-mat/9309034v1

Physics

Condensed Matter

16pages, latex, SNUTP 93-70

Scientific paper

We present numerical data of the height-height correlation function and of the avalanche size distribution for the three dimensional Toom interface. The height-height correlation function behaves samely as the interfacial fluctuation width, which diverges logarithmically with space and time for both 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 power-law distributions appearing in typical self-organized critical phenomena. We also generalize the Toom model into arbitrary dimensions.

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