Numerical Simulations of the Ising Model on the Union Jack Lattice

Abstract

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Numerical simulations of the Ising model on the Union Jack lattice

“…In our work in [8] we presented a theoretical and numerical analysis of the results derived in [2]. In our theoretical analysis we compared these results against those of [3] to identify systems to further investigate numerically.…”

“…The results of both the theoretical and numerical analysis will be presented below. In [8] we also presented analysis of a mean-field approximation of the Union Jack lattice using two approaches. The first used a set partially uncoupled predictor equations, both functions of σ .…”

“…With this calibration we have confidence in the accuracy of the simulation results. The code for this simulation program can be found in [8].…”

“…As can be seen from the graph, the prediction functions of [2,4] show a non-zero magnetisation on the σ-sublattice. In this system the γ 4 is negative at low temperatures [8]. The equation for γ 4 is…”

“…This paper focuses on the numerical simulations of the work in the thesis on the general anisotropic Union Jack Ising model in [8]. To start, in Section II we will state the required background for the paper.…”