The calculation of rate coefficients is a discipline of nonlinear science of importance to much
of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

The general subject of colored noise driven dynamical flows is rooted in the study of the
motion of small particles suspended in a fluid and moving under the influence of random …

Two of the more fundamental ways in which molecules change their behavior when they are
dissolved are that they can begin to exchange energy with the surrounding liquid and they …

The time correlation function for a harmonic quantum mechanical system can be related to
the time correlation function for a corresponding classical system. Although straightforward …

An analytical theory is formulated for the thermal (classical mechanical) rate of escape from
a metastable state coupled to a dissipative thermal environment. The working expressions …

It hardly needs saying that the presence, and indeed the dynamics, of liquids plays a crucial
role in chemical processes ranging from electrontransfer1 to acid-base chemistry. 2 …

We present accurate fully quantum calculations of thermal rate constants for a symmetric
double well system coupled to a dissipative bath. The calculations are performed using the …

General theoretical expressions for the dephasing and energy relaxation times of a stiff
oscillator in simple fluids are derived from the GLE and a critical discussion of the dynamic …

Classical molecular dynamics simulations complemented with semiclassical perturbation
theory have been applied to the study of the cyanide ion vibrational relaxation in liquid …