Publication at Faculty of Mathematics and Physics |
2011
Abstract
We present a toy model of a diffusion-driven escape of hard-core interacting molecules from a quasi-one-dimensional pore. The model comprises of identical hard-core interacting particles diffusing on a semi-infinite interval with a partially absorbing boundary located at the origin of coordinates.
As the consequence of the presence of the absorbing boundary, the number of particles is not conserved during the time-evolution. A system of coupled evolution equations that describes the non-equilibrium dynamics of the model is derived and discussed.
Basic properties of the escape problem are demonstrated on a diffusion of one particle.