Study of the Dipolar Relaxation by a Continued Fraction Representation of the Time-Correlation Function

The dipolar relaxation is discussed by a continued fraction representation of time-correlation function. A particular attention is given to stochastic processes in the liquid state where the molecular Brownian motion is in the vicinity of the Markovian process. It is shown that the correlation or relaxation time of such interesting dynamical variables as angular momentum, torque, and kinetic energy can be estimated from the moments of infrared absorption spectra. Useful discussions are given to make the relation between the dipolar relaxation and the time dependence of these dynamical variables clear.