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Segregation in reaction-diffusion systems

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  • Taitelbaum, Haim

Abstract

Segregation of reactants in reaction-diffusion systems is a spatial structure that can be formed either as a result of a dynamical process or as an initially prepared system. In this paper we review our recent results on both such systems. First we study the dynamic segregation at a single trap, in particular in the presence of fields and disorder. Then we study properties of the dynamic reaction front produced due to initial segregation of the reactants in the A + B→C system. Both systems are shown to exhibit anomalous kinetic properties.

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  • Taitelbaum, Haim, 1993. "Segregation in reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 155-164.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:155-164
    DOI: 10.1016/0378-4371(93)90513-4
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    References listed on IDEAS

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    1. Havlin, S. & Larralde, H. & Kopelman, R. & Weiss, G.H., 1990. "Statistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 169(3), pages 337-341.
    2. Weiss, George H. & Masoliver, Jaume, 1991. "Nearest trap-particle distances in a one-dimensional CTRW model with a mobile trap," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 209-213.
    3. Datta, P.K. & Jayannavar, A.M., 1992. "Statistical properties of the nearest-neighbour distance at a single imperfect trap," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(1), pages 135-142.
    4. Schoonover, Rodney & Ben-Avraham, Daniel & Havlin, Shlomo & Kopelman, Raoul & Weiss, George H., 1991. "Nearest-neighbor distances in diffusion-controlled reactions modelled by a single mobile trap," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 232-238.
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    Cited by:

    1. Cox, Stephen M. & Clifford, Michael J. & Roberts, E.P.L., 1998. "A two-stage reaction with initially separated reactants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 65-86.

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