English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the influence of the velocity dependence of friction on the escapeof a Brownian particle from the deep potential well ($E_{b} \gg k_{B}T$,$E_{b}$ is the barrier height, $k_{B}$ is the Boltzmann constant, $T$ is thebath temperature). The bath-induced relaxation is treated within the Rayleighmodel (a heavy particle of mass $M$ in the bath of light particles of mass$m\ll M$) up to the terms of the order of $O(\lambda^{4})$,$\lambda^{2}=m/M\ll1$. The term $\sim 1$ is equivalent to the Fokker-Planckdissipative operator, and the term $\sim \lambda^{2}$ is responsible for thevelocity dependence of friction. As expected, the correction to the Kramersescape rate in the overdamped limit is proportional to $\lambda^{2}$ and issmall. The corresponding correction in the underdamped limit is proportional to$\lambda^{2}E_{b}/(k_{B}T)$ and is not necessarily small. We thus suggest thatthe effects due to the velocity-dependent friction may be of considerableimportance in determining the rate of escape of an under- and moderately dampedBrownian particle from a deep potential well, while they are of minorimportance for an overdamped particle

Velocity dependence of friction and Kramers relaxation rates