Rate calculation with correlated noise

TL;DR

This paper introduces a novel perturbative method to identify reactive trajectories and compute reaction rates in systems influenced by colored noise, reducing simulation time and handling memory effects efficiently.

Contribution

The paper develops a perturbative approach to identify reactive trajectories and derive an exact reaction rate expression for systems with colored noise.

Findings

New perturbative method for reactive trajectory identification

Formally exact reaction rate expression in multidimensional systems

Effective handling of memory effects in stochastic environments

Abstract

The usual identification of reactive trajectories for the calculation of reaction rates requires very time-consuming simulations, particularly if the environment presents memory effects. In this paper, we develop a new method that permits the identification of reactive trajectories in a system under the action of a stochastic colored driving. This method is based on the perturbative computation of the invariant structures that act as separatrices for reactivity. Furthermore, using this perturbative scheme, we have obtained a formally exact expression for the reaction rate in multidimensional systems coupled to colored noisy environments.