Activation instanton in real-time formalism
Abstract
In this paper, we study the dynamics of the activation of a Brownian particle using the path integral formalism in real time. Along with the construction of the saddle-point (instanton) solutions, we develop the formalism allowing to calculate the effect of the fluctuations near this solution in detail. In particular, it is shown that there is a soft mode for which the integration is not Gaussian and just this mode is responsible for the finite probability flux.
- Publication:
-
Modern Physics Letters B
- Pub Date:
- June 2014
- DOI:
- 10.1142/S0217984914501280
- Bibcode:
- 2014MPLB...2850128K
- Keywords:
-
- Statistical physics;
- real-time path integral;
- rare events;
- instanton calculus;
- Kramers problems;
- Arrhenius law