XY model. Linear congruential random number generator


T It delay fps

GPU based Monte-Carlo simulation of the XY model on the square 512×512 grid. it is the number of MC iterations per frame. The linear congruential random number generator (RND) stores its state in buffer array but all the same on E-350 it is ~3 times faster then XY model with the TEA based RND.

Different colors correspond to different spin phases. Therefore vortices appear as point deffects where all colors meet together (see Vortices in the XY model).
You can watch vortices formation from random spin configuration. Vortex and anti-vortex attract and annihilate (in a while) each other. Set temperature T = 0.002 to cool down vortices. For T < 0 you will get the antiferromagnetic model.

[1] CPS 713 Monte Carlo Simulation for Statistical Physics
Paul Coddington, Northeast Parallel Architectures Center at Syracuse University,   Jan 1996


WebCL Demos     updated 24 Sep 2014