Multi-Species Screening in Anti-Ferromagnetic Pair-Annihilation Model Simulations (original) (raw)

2013

Pair-annihilation process models capture the behaviour of important reactions amongst fundamental physical but also chemical systems. We develop a lattice-based pairannihilation model based on Kawasaki exchange dynamics and with diffusion properties controlled by a latticegas temperature. We investigate the effect of multi-species screening in the model when anti-ferromagnetic repulsive coupling forces are used. We find a phase transition manifested by an annihilation induced population collapse around T=0.22 and an additional phase transition in the number of species present around Q=5. We describe a number of quantitative metrics based on graph component labeling and contrast the behaviours of the ferromagnetic and anti-ferromagnetic variants of the model.

Kawasaki dynamics and equilibrium distributions in simulations of phase separating systems

1997

We compare equilibrium probability distributions obtained from Monte Carlo simulations for different spin exchange dynamics with the exact Boltzmann distribution for the fixed magnetization Ising model on small lattices. We present simple arguments and numerical evidence in order to show that "efficient" Kawasaki exchange does not lead to Boltzmann equilibrium distributions and that nearest-neighbour equal spin-exchange must be considered. Arbitrary distance opposite spin interchange is indicated as an alternative to obtaining the full phase diagram with phase separation.

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