Diffusion on the interval acted upon by a oscillating space-homogeneous force

Details Diffusion on the interval acted upon by a oscillating space-homogeneous force Diffusion on the interval acted upon by a oscillating space-homogeneous force

2006-09-19

arxiv.org/abs/cond-mat/0609449v1

Physics

Condensed Matter

Other Condensed Matter

11 pages, 2 figures

Scientific paper

We study the one-dimensional diffusion process which takes place between two reflecting boundaries and which is acted upon by a time-dependent and spatially-constant force. The assumed force possesses both the harmonically oscillating and the constant component. Using techniques presented in the paper [1] we derive the set of integral equations whose comprise the Green function for our diffusion process. In the later part we focus on the time-asymptotic stationary regime of considered non-equilibrium process. Some of its time-asymptotic characteristics, e.g. time-averaged and time-asymptotic probability density of the particle coordinate, exhibit nontrivial features.

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