Al. Edelstein et N. Agmon, BROWNIAN DYNAMICS SIMULATIONS OF REVERSIBLE-REACTIONS IN ONE-DIMENSION, The Journal of chemical physics, 99(7), 1993, pp. 5396-5404
A Brownian dynamics algorithm is developed for simulating many-body ef
fects in one dimensional competitive reversible binding of otherwise n
oninteracting particles. It allows time steps hundreds of times larger
than in conventional lattice random walks and enables us to simulate
systems which are sufficiently large to approach the thermodynamic lim
it. The asymptotic long-time behavior is compared with mean-field pred
ictions.