ABSTRACT
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In Section 1.3, two important examples of kinetic Ising models were introduced, that is, the Ising model with Glauber spin-flip kinetics, and the Ising model with Kawasaki spin-exchange kinetics. In this chapter, we will discuss efficient Monte Carlo techniques for simulating these and relatedmodels.As stated earlier, simulations of domain growth are often performed with either the lattice gas or the Ising model. In the lattice gas, a large number of particles (representing atomsormolecules) are placed on the sites of a lattice and interact with each other. Because these simulations are geared toward a qualitative understanding of domain growth rather than a quantitative match with any specific materials, the interactions between the particles are kept as simple as possible, resulting in the following rules:
• Hard-core repulsion: No lattice site can be occupied by more than one particle.
