Analysis of dimer dynamics with an enhanced bond-fluctuation model

A recently introduced enhancement to the bond-fluctuation model has been shown to both increase efficiency and extend the applicability of the bond-fluctuation model for polymer simulations. In order to better understand the increase in performance, a theoretical analysis of the dynamics for the simplest case--an isolated dimer--is presented along with a comparison between the original and enhanced bond-fluctuation models. In particular, we find the equilibrium bond-length probability distribution for the dimer using each of the models.