Abstract
We study a system consisting of one particle whose Brownian motion is restricted by confining walls with specific temporal dependence. An increase in the time reflects one reduction of diameter in the medium that affects the diffusion process. Therefore, we are interested in how the mobility and effective diffusion coefficient of the particles is modified by changes in the width of the geometry. In this way, we purpose an extension of the actual formalism related to analytical description of the diffusion process in confined geometries to include the effects of temporal change.
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