title: Communication: transition state theory for dissipative systems without a dividing surface.
abstract: Transition state theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when the reactive system is coupled to an environment. The calculations made in this way then overestimate the reaction rate and the results depend critically on the choice of the dividing surface. In this Communication, we study the phase space of a stochastically driven system close to an energetic barrier in order to identify the geometric structure unambiguously determining the reactive trajectories, which is then incorporated in a simple rate formula for reactions in condensed phase that is both independent of the dividing surface and exact.
authors.affiliation: Grupo de Sistemas Complejos, and Dep. de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain.
authors.forename: F
authors.initials: F
authors.lastname: Revuelta
authors.forename: Thomas
authors.initials: T
authors.lastname: Bartsch
authors.forename: R M
authors.initials: RM
authors.lastname: Benito
authors.forename: F
authors.initials: F
authors.lastname: Borondo