Macroscopic description of a subdiffusion-controlled bimolecular reaction
- National Academy of Sciences, Institute of Surface Chemistry (Ukraine)
The random trap model is used to derive equations describing reaction-subdiffusion systems with diffusion-controlled (infinitely fast) bimolecular reaction. A hierarchy of equations in terms of distribution functions is closed by using a quasi-equilibrium condition in the equation for the two-particle distribution function. The reaction terms in the resulting equations contain products between concentrations and diffusion jump rates, rather than products of concentrations as dictated by the law of mass action. The same equations are also derived in the framework of a nonlinear continuous-time random walk model. The equations are used to show that inhomogeneity of the medium may manifest itself by fractional-order reaction terms.
- OSTI ID:
- 21443663
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 109, Issue 5; Other Information: DOI: 10.1134/S1063776109110132; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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