Glauber Dynamics

Glauber dynamics is a Markov process that updates one spin at a time and preserves a specified Gibbs measure. In the heat-bath version, each site's rate-one clock replaces its spin by a sample from the conditional Gibbs measure given all other spins. For sites, its generator is , where is conditional averaging at site . The discrete-time version chooses a uniform site at each attempted update. Its transition matrix is , so . Time measured in attempted updates is therefore times the rate-one-per-site time scale.