Polar solvent relaxation: the mean spherical approximation approach

The use of the mean spherical approximation (MSA) in the study of dynamics of polar fluids is further explored in two ways. First, the recent result of Wolynes [J. Chem. Phys. 86, 5133 (1987)] showing that solvation dynamics can be extracted from the static solution of the MSA is further investigated. The solvation of a dipole in a dipolar fluid is calculated, and compared with an ion in a dipolar fluid. Both cases reduce to simple numerical quadrature. Second, the Smoluchowski–Vlasov equation (SVE) of Calef and Wolynes [J. Chem. Phys. 78, 4145 (1983)] is also reexamined. Using the analytic MSA results, a new set of relaxation times can be defined. In both sections, structural relaxation occurs with multiple relaxation times.