A. Perico et al., TORSIONAL TIME-CORRELATION FUNCTION FOR ONE-DIMENSIONAL SYSTEMS WITH BARRIER CROSSING - PERIODIC POTENTIAL, The Journal of chemical physics, 101(3), 1994, pp. 2554-2561
The one-variable Smoluchowski equation is used to study various system
atic approximation schemes to the torsional angle time correlation fun
ction for a system with a multibarrier periodic potential. The memory
function is evaluated as a function of the barrier height using both t
he Mori continued fraction expansion and a related but more efficient
matrix expansion method. An exact integral relation for the correlatio
n time is derived and is compared with the approximations.