Critical behavior of majority vote model on two-dimensional quasiperiodic tilings. (23rd January 2019)

• Record Type: Journal Article
• Authors: Alves, T F A; Lima, F W S; Macedo-Filho, A; Alves, G A
• Is Part Of: Journal of statistical mechanics. (2019:Jan.)
• Publication Date: 2019-01-23
• Subjects: 16 -- 12 -- 3 -- 4; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aaf62e
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigated majority vote model coupled with quasiperiodic tilings by using both Monte Carlo and finite size scaling techniques. We obtained numerically the following averages: Binder cumulant, order parameter, defined as the averaged opinion balance, and its respective susceptibility . Our numerical results suggest that the system falls in two-dimensional Ising universality class. In addition, our results are in agreement with Harris–Barghathi–Vojta criterion, which states that two-dimensional quasiperiodic ordering is irrelevant and does not change any of the critical exponents.