Dynamics of diffusion-controlled reactions among stationary sinks: Scaling expansion approach

• DOI: 10.1063/1.443023
• Publication Date: 2003-02-28T11:17:50Z
• Authors: Michio Tokuyama; Robert I. Cukier
• Keywords: Sink (geography); Anomalous Diffusion; Critical radius

Diffusion-controlled reactions in a nondilute sink system are rigorously studied with the aid of scaling expansion method. A space-time coarse graining is carried out manner consistent an concentration to obtain macroscopic transport equations from microscopic equations. It shown that, beyond lowest order concentration, equation for reaction–diffusion process cannot be written conventional local form space and time since nonlocal contribution becomes important. Properties fluctuations around motion also explicitly explored, they small comparison three-dimensional systems appropriate choice size radius obey Gaussian process. An absorption whose characteristic length much longer than that investigated, damping derived.