First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium

TL;DR

This paper provides the first numerical evidence supporting Janssen and Oerding's prediction of anomalous tricritical dynamic behavior in a three-dimensional spin model far from equilibrium, using advanced computational techniques.

Contribution

It introduces a novel computational approach to verify the universal behavior predicted by renormalization group theory in a 3D spin model.

Findings

Confirmed log corrections and predicted parameters in the Blume-Capel model

Analyzed dynamic localization of the phase diagram using power law optimization

Quantified crossover phenomena through critical exponents

Abstract

Jansen and Oerding [H. K. Janssen, K. Oerding, J. Phys. A: Math. Gen. 27, 715 (1994)] predicted an interesting anomalous tricritical dynamic behavior in three-dimensional models via renormalization group theory. However, we verify a lack of literature about the computational verification of this universal behavior. Here, we used some tricks to capture the log corrections and the parameters predicted by these authors using the three-dimensional Blume-Capel model. In addition, we also performed a more detailed study of the dynamic localization of the phase diagram via power laws optimization. We quantify the crossover phenomena by computing the critical exponents near the tricritical point.