Stochastic Dynamics and Energetics of Biomolecular Systems by Artem Ryabov

Author:Artem Ryabov
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(3.92)

3.3.4 Tracer Dynamics with Absorption

We are again primarily interested in the long-time dynamics of the tracer. After employing an expansion of the integral of the error function in (3.82), the main asymptotics of the PDF (3.81) reads

(3.93)

The squared bracket encloses the Rayleigh distribution, and it is multiplied by the main asymptotic term of the survival probability , cf. Eq. (3.86). That is, in the long-time limit we have

(3.94)

As for the first two moments of the tracer position we get the asymptotic formulas

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