R. Chitra et S. Yashonath, ESTIMATION OF ERROR IN THE DIFFUSION-COEFFICIENT FROM MOLECULAR-DYNAMICS SIMULATIONS, JOURNAL OF PHYSICAL CHEMISTRY B, 101(27), 1997, pp. 5437-5445
Long molecular dynamics simulations (120 ns) of guests confined in zeo
lite NaCaA as well as that of pure fluid have been carried out in the
microcanonical ensemble to obtain an estimate of the error associated
with the diffusion coefficient (D). It is found that the error is abou
t 50% for a 1 ns run for argon parameters in NaCaA zeolite. It is foun
d that shorter runs lead to an overestimation of the value of D. It is
also found that a linear fit to a region of the msd (mean squared dis
placement) below similar to 200 ps leads to an overestimation of D. Fo
r runs that are sufficiently long, the initial configuration has no ef
fect on D. Further, the values obtained from the msd and the velocity
autocorrelation function converge for the runs reported here. It is sh
own that the error in D depends on the nature of the system and its un
derlying potential energy surface. The calculated statistical ineffici
ency suggests that the averages of properties such as the total energy
will be uncorrelated over blocks longer than 150 ps. Dependence of th
e error in D on the simulation length and size is reported.