title: Stochastic transition states: reaction geometry amidst noise.
abstract: Classical transition state theory (TST) is the cornerstone of reaction-rate theory. It postulates a partition of phase space into reactant and product regions, which are separated by a dividing surface that reactive trajectories must cross. In order not to overestimate the reaction rate, the dynamics must be free of recrossings of the dividing surface. This no-recrossing rule is difficult (and sometimes impossible) to enforce, however, when a chemical reaction takes place in a fluctuating environment such as a liquid. High-accuracy approximations to the rate are well known when the solvent forces are treated using stochastic representations, though again, exact no-recrossing surfaces have not been available. To generalize the exact limit of TST to reactive systems driven by noise, we introduce a time-dependent dividing surface that is stochastically moving in phase space, such that it is crossed once and only once by each transition path.
authors.affiliation: Center for Nonlinear Science and School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA.
authors.forename: Thomas
authors.initials: T
authors.lastname: Bartsch
authors.forename: T
authors.initials: T
authors.lastname: Uzer
authors.forename: Rigoberto
authors.initials: R
authors.lastname: Hernandez