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Brownian Trapping with Grouped Traps

1994; Springer Nature; Linguagem: Inglês

10.1007/978-1-4615-2460-1_56

0258-1221

Leonid V. Bogachev, Alexander M. Berezhkovskii, Yu. A. Makhnovskii,

Electrostatics and Colloid Interactions

The problem of Brownian particle trapping by randomly distributed static traps is well known in the theory of disordered media. Refs. 1–3 provide us with a commonly accepted framework for the description of a wide range of processes in physics and physical chemistry.4 The conventional theory dated back to Smoluchowski is essentially based on the assumption that traps are spatially non-correlated. However, there are widespread situations where trap correlations are a priori known to be present, either due to trap interaction or being generated in the course of the medium formation. A few attempts to take correlation effects into account were made in the recent years. Refs. 5–13 indicate that trap correlations may affect the trapping rate substantially. In particular, it was argued that correlations due to trap attraction (repulsion) induce the process slowdown (respectively, acceleration) as compared to the case of non-correlated traps.8–12