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

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.

6 pages, 6 figures

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Cited by in corpus (2)

• Tricritical point in the quantum Hamiltonian mean-field model
• Short-time dynamics in phase-ordering kinetics