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Название: Flux to a Trap
Автор: Ziff R.M.
The flux of particles to a single trap is investigated for two systems: (1) particles in 3D space which jump a fixed step length l (the Rayleigh flight) and are adsorbed by a spherical surface, and (2) particles on a lattice, jumping to nearest neighbor sites, with a single adsorbing site. Initially, the particles are uniformly distributed outside the traps. When the jump length goes to zero, both processes go over to regular diffusion, and the first case yields the diffusive flux to a sphere as solved by Smoluchowski.