Vbp. Leite et Jn. Onuchic, STRUCTURE AND DYNAMICS OF SOLVENT LANDSCAPES IN CHARGE-TRANSFER REACTIONS, Journal of physical chemistry, 100(18), 1996, pp. 7680-7690
The dynamics of solvent polarization plays a major role in the control
of charge-transfer reactions. Although in principle solvent dynamics
looks extremely complicated, the success of Marcus theory describing t
he solvent influence via a single collective quadratic polarization co
ordinate has been remarkable. Onuchic and Wolynes have recently propos
ed (J. Chem. Phys. 1993, 98 (3), 2218) a simple solvent model demonstr
ating how a many-dimensional complex system composed of several dipole
moments (representing solvent molecules or polar groups in proteins)
can be reduced under the appropriate limits into the Marcus model. Thi
s work presents a dynamical study of the same model. It is shown that
an effective potential, obtained by a thermodynamic approach, provides
an appropriate dynamical description. At high temperatures, the syste
m exhibits effective diffusive one-dimensional dynamics in this effect
ive potential, where the Born-Marcus limit is recovered. At low temper
atures, a glassy phase emerges with a slow non-self-averaging dynamics
. At intermediate temperatures, we will discuss the concept of equival
ent diffusion paths and polarization-dependent effects. The equivalent
paths are necessary to seduce the problem into the Marcus picture. A
discussion of how these different regimes affect the rate of charge tr
ansfer is presented.