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Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics (1991)

Doering, Charles R. ; Burschka, Martin A. ; Horsthemke, Werner

Springer

Journal of statistical physics 65 (1991), S. 953-970

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ISSN: 1572-9613

Keywords: Diffusion-reaction system ; reaction kinetics ; nonlinear waves

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01049592

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