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 …

As the world's population increases and substantial industrial growth continues, the energy
demands of society increase rapidly. Although the earth's oil, natural gas, and coal deposits …

The electromagnetic field in an optical cavity can dramatically modify and even control
chemical reactivity via vibrational strong coupling (VSC). Since the typical vibration and …

We present an overview of the current status of transition-state theory and its
generalizations. We emphasize (i) recent improvements in available methodology for …

A brief history is presented, outlining the development of rate theory during the past century.
Starting from Arrhenius [Z. Phys. Chem. 4, 226 (1889)], we follow especially the formulation …

The Kramers problem in periodic potentials is solved separating the intrawell and interwell
dynamics. Both the jump rate and the probability distribution of the jump lengths are …

The theoretical framework for describing solvent effects on solution phase reactions is
summarized. When possible, the results are related to experiments involving geometric …

Brownian dynamics serve as mathematical models for the diffusive motion of microscopic
particles of various shapes in gaseous, liquid, or solid environments. The renewed interest …

In this chapter our main emphasis is on homogeneous solutions. Biological applications are
mentioned briefly. After summarizing the Golden Rule results, we focus on the effects of …

A Feynman path integral formulationof quantum mechanical transition-state theory is
reviewed. The theory retains many of the appealing aspects of classical transition-state …