Visualising spins and clusters in regular and small-world Ising models with GPUs

Visualising computational simulation models of solid state physical systems is a hard problem for dense lattice models. Fly throughs and cutaways can aid viewer understanding of a simulated system. Interactive time model parameter updates and overlaying of measurements and graticules, cluster colour labelling and other visual highlighting cues can also enhance user intuition of the model’s meaning. We present some graphical and simulation optimisation techniques and various graphical rendering and explanatory techniques for computational simulation models such as the Ising model in 2 and 3 dimensions. In addition to aiding understanding of conventional algorithms such as Metropolis Monte Carlo, we try to visualise cluster updates to the system using algorithms like that of Wolff. We also explore ways to visualise pathlength shortening and other changes to the Ising system when small-world link rewiring is applied to the system. We use a combination of OpenGL visualisation software ...

• Type: Journal
• Year: 2010
• Where: PROCEDIA
• Authors: Arno Leist, Daniel P. Playne, Kenneth A. Hawick
• Keywords: Computational Simulation Models, Dense Lattice Models, PROCEDIA 2010, Simulation Optimisation Techniques