Binary data corruption due to a Brownian agent II: two dimensions, competing agents, and generalized couplings
Abstract
This work is a continuation of our previous investigation of binary data corruption due to a Brownian agent [T. J. Newman and W. Triampo, preprint cond-mat/9811237]. We extend our study in three main directions which allow us to make closer contact with real bistable systems. These are i) a detailed analysis of two dimensions, ii) the case of competing agents, and iii) the cases of asymmetric and quenched random couplings. Most of our results are obtained by extending our original phenomenological model, and are supported by extensive numerical simulations.
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