Journal of Chemical Physics, Vol.106, No.21, 8814-8820, 1997
Universal Scaling for Diffusion-Controlled Reactions Among Traps
The determination of the mean survival time tau (i.e., inverse reaction rate) associated with diffusion-controlled reactions among static traps is a problem of long-standing interest, dating back to the classical work of Smoluchkowski. For the broad class of model particulate- and digitized-based models considered here, we find a universal curve for the mean survival time T for a wide range of porosities. The functional form of this universal scaling relation is motivated by rigorous bounds on T and is expressible as a simple function of porosity, specific surface, and mean pore size.
Keywords:HETEROGENEOUS MEDIA;POROUS-MEDIA;CONCENTRATION-DEPENDENCE;STATIC TRAPS;SIMULATION;SINKS;RELAXATION;MODELS;SIZE