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Regular version of the site

Article

Activation instanton in real-time formalism

Modern Physics Letters A. 2014. Vol. 28. No. 16. P. 1450128-1-1450128-7.
I.V. Kolokolov, Nguyen Thanh T.

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.