An evaluation of the accuracy of dynamic transition matrix calculations of Ising spin systems

In recent calculations of the Ising model density of states, it was found that a temperature schedule derived by monitoring the sampling of states with different magnetizations yielded a direct, simply implemented transition matrix procedure that exceeded the accuracy of techniques that that accumulate elements from multiple slowly annealing Markov chains.(1) This talk examines the influence of various computational parameters on the procedure and presents additional comparisons with existing methods.

(1) Dynamic canonical and microcanonical transition matrix analyses of critical behavior, D. Yevick, Y.H. Lee, Eur. Phys. J. B (2017) 90: 81.