Binary data corruption due to a Brownian agent II: two dimensions, competing agents, and generalized couplings

TL;DR

This paper extends the study of binary data corruption caused by Brownian agents to two dimensions, competing agents, and generalized couplings, providing deeper insights into real bistable systems through modeling and simulations.

Contribution

It introduces an extended phenomenological model addressing two-dimensional effects, competing agents, and various coupling types, advancing understanding of data corruption mechanisms.

Findings

Analysis of two-dimensional data corruption dynamics.

Impact of competing agents on system stability.

Effects of asymmetric and quenched random 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.