Trapping Rate Coefficient

The problem of entrapment of diffusing particles by heterogeneous boundaries with perfectly or partially absorbing regions on otherwise perfectly or partially reflecting surfaces plays an important role in the analysis of various processes in physics, chemistry, and biology. By means of boundary homogenization, we replace non-uniform boundary conditions on a surface with an effective uniform partially absorbing boundary condition with the proper effective trapping rate. This approach reduces the initial two- or three-dimensional problem with non-uniform boundary conditions to an effective one-dimensional problem, significantly simplifying the study of the problem.