Abstract
We present an exact closed formulation of the reversible diffusion-limited coagulation-growth reactions 2A ↔ A with irreversible input B → A in one spatial dimension. The treatment here accommodates spatial as well as temporal variations in the particle density with a complete account of microscopic fluctuations and correlations. Moreover, spatial and/or temporal variations in the transport and reaction coefficients can be included in the model. A general solution to the reversible process is presented, and we explore the phenomenon of wavefront propagation.
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Doering, C.R., Burschka, M.A. & Horsthemke, W. Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics. J Stat Phys 65, 953–970 (1991). https://doi.org/10.1007/BF01049592
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DOI: https://doi.org/10.1007/BF01049592