Evaluation of transition rates from nonequilibrium instantons

Kavli Affiliate: David T. Limmer

| First 5 Authors: Eric R. Heller, David T. Limmer, , ,

| Summary:

Equilibrium rate theories play a crucial role in understanding rare, reactive
events. However, they are inapplicable to a range of irreversible processes in
systems driven far from thermodynamic equilibrium like active and biological
matter. Here, we develop an efficient numerical method to compute the rate
constant of rare nonequilibrium events in the weak-noise limit based on an
instanton approximation to the stochastic path integral and illustrate its wide
range of application. We demonstrate excellent agreement of the instanton rates
with numerically exact results for a particle under a non-conservative force.
We also study phase transitions in an active field theory. We elucidate how
activity alters the stability of the two phases and their rates of
interconversion in a manner that can be well described by modifying classical
nucleation theory,

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