W. Schneller et al., THERMALLY ACTIVATED ESCAPE OVER TIME-MODULATED FLUCTUATING BARRIERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 770-773
Exact numerical and approximation analytical solutions are obtained fo
r the escape of diffusing particles from a one-dimensional, finite box
in which the absorbing boundary has time-modulated gating properties;
that is, it has a time-dependent reactivity proportional to a square
wave, a saw-toothed wave, or a sine-squared wave. The results may have
applications to intramolecular fluorescence quenching, movement of el
ectrons in semiconductors through a time-varying insulating layer, and
localization of components on a membrane surface.