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Application Of Parallel Computing To Optimize Studies Of Critical Exponents In The One-Dimensional Sznajd Model, Joseph Garcia
Application Of Parallel Computing To Optimize Studies Of Critical Exponents In The One-Dimensional Sznajd Model, Joseph Garcia
Honors College
The Sznajd model (SM) is a one-dimensional voter-like model used to study consensus in systems where information flows outward from like-minded neighboring agents. Here, we introduce long-range interactions to the SM via the parameter p, where p→1 is the mean-field limit (MFL) and p→0 the one-dimensional limit (1DL). Using Monte Carlo simulations and finite size scaling analyses to characterize the exit probability for p > 0, we find a step function reliant on two p-dependent exponents. By examining the exponents' behavior in the 1DL, we comment on the functional form of the exit probability in one dimension—its nature …