Ap. Blokhin et Mf. Gelin, ROTATIONAL BROWNIAN-MOTION OF SPHERICAL MOLECULES THE FOKKER-PLANCK EQUATION WITH MEMORY, Physica. A, 229(3-4), 1996, pp. 501-514
The rotational Fokker-Planck equation with memory is considered for a
spherical top molecule. Angular momenta and rotational energy correlat
ion functions and also orientational correlation functions in the high
and low friction limit are calculated analytically. A convenient semi
analytical method of solution of the equation through recursive relati
ons is proposed. The method is applicable for an arbitrary memory kern
el of the equation and representative calculations for the exponential
memory kernel are presented to simultaneously keep track of the behav
ior of the angular momenta and orientational correlation functions vs.
intensity and correlation time of the Brownian torques.