Smoluchowski and beyond: a field theoretical study of coagulation/fragmentation processes
- 21 February 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (3) , L135-L141
- https://doi.org/10.1088/0305-4470/20/3/004
Abstract
Adopting simple field theoretical techniques the author demonstrates how the Smoluchowski approach to reaction-diffusion models can be systematically corrected. Focusing on coagulation/fragmentation processes he identifies the upper critical dimension dc=2 below which finite mobility corrections are important and full universality (lattice independence, etc.) can be achieved. Trends seem by direct simulation of simple lattice models for d>2 are confirmed, whilst problems of interpretation exist for d<2.Keywords
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