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BCS model on Quasiperiodic Lattices | | T. F. A. Alves
; F. W. S. Lima
; A. Macedo-Filho
; G. A. Alves
; | | Date: |
14 Sep 2019 | | Abstract: | We study the Biswas-Chatterjee-Sen (BCS) model, also known as the KCOD
(Kinetic Continuous Opinion Dynamics) model on quasiperiodic lattices by using
Kinetic Monte Carlo simulations and Finite Size Scaling technique. Our results
are consistent with a continuous phase transition, controlled by an external
noise. We obtained the order parameter $M$, defined as the averaged opinion,
the fourth-order Binder cumulant $U$, and susceptibility $chi$ as functions of
the noise parameter. We estimated the critical noises for Penrose, and
Ammann-Beenker lattices. We also considered 7-fold and 9-fold quasiperiodic
lattices and estimated the respective critical noises as well. Irrespective of
rotational and translational long-range order of the lattice, the system falls
in the same universality class of the two-dimensional Ising model.
Quasiperiodic order is irrelevant and it does not change any critical exponents
for BCS model. | | Source: | arXiv, 1909.6660 | | Services: | Forum | Review | PDF | Favorites | |
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