Direct observation of spin correlations in an artificial triangular lattice Ising spin system with grazing-incidence small-angle neutron scattering

Short-range correlations in the highly frustrated spin-liquid state of an artificial triangular-lattice Ising spin system were measured using grazing incidence small-angle neutron scattering and quantified using an empirical structure factor.

Accelerated rare event sampling: Refinement and Ising model analysis

In this paper, a recently introduced accelerated sampling technique [D. Yevick, Int. J. Mod. Phys. C 27, 1650041 (2016)] for constructing transition matrices is further developed and applied to a two-dimensional [Formula: see text] Ising spin system. By permitting backward displacements up to a certain limit for each forward step while evolving the system to first higher and then lower energies within a restricted interval that is steadily displaced toward zero temperature as the computation proceeds, accuracy can be greatly enhanced. Simultaneously, the elements obtained from numerous independent calculations are collected in a single transition matrix. The relative accuracy of this novel method is established through a comparison to a transition matrix procedure based on the Metropolis algorithm in which the temperature is appropriately varied during the calculation and the results interpreted in terms of the distribution of realizations over both energy and magnetization.

OPINION FORMATION IN SZNAJD MODEL WITH MORE COMPLEX SOCIAL IMPACT

Based on the Ising spin system and the Sznajd Model (SM), we introduce a new model to study the opinion evolving in SM on square lattices by numerical simulations. In the model, a panel of four neighboring sites are randomly selected at each Monte Carlo step (MCS), around the panel there are eight nearest neighbors. To be more realistic, two basic impacts are considered in the process of the eight individuals' decision-making, i.e., the information governed by the panel of four neighboring sites and the average opinion of the whole community. It is found that our model show many useful and interesting statistical results.