Stability of reaction fronts in random walk simulations

Noemi Nagy, F. Izsak

    Research output: Book/ReportReportProfessional

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    Abstract

    A model of propagating reaction fronts is given for simple autocatalytic reactions and the stability of the propagating reaction fronts are studied in several numerical experiments. The corresponding random walk simulations - extending of a recent algorithm - make possible the simultaneous treatment of moving particles. A systematic comparison with the standard deterministic simulations highlight the advantages of the present stochastic approach. The main favor of the random walk simulation is that the initial perturbation has no strong effect on the stability of the front unlike in deterministic cases.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages15
    Publication statusPublished - Jan 2011

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1934
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • Reaction front
    • Random walk simulation
    • METIS-277498
    • Instability
    • IR-75757
    • EWI-19362

    Cite this

    Nagy, N., & Izsak, F. (2011). Stability of reaction fronts in random walk simulations. (Memorandum / Department of Applied Mathematics; No. 1934). Enschede: University of Twente, Department of Applied Mathematics.
    Nagy, Noemi ; Izsak, F. / Stability of reaction fronts in random walk simulations. Enschede : University of Twente, Department of Applied Mathematics, 2011. 15 p. (Memorandum / Department of Applied Mathematics; 1934).
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    keywords = "Reaction front, Random walk simulation, METIS-277498, Instability, IR-75757, EWI-19362",
    author = "Noemi Nagy and F. Izsak",
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    Nagy, N & Izsak, F 2011, Stability of reaction fronts in random walk simulations. Memorandum / Department of Applied Mathematics, no. 1934, University of Twente, Department of Applied Mathematics, Enschede.

    Stability of reaction fronts in random walk simulations. / Nagy, Noemi; Izsak, F.

    Enschede : University of Twente, Department of Applied Mathematics, 2011. 15 p. (Memorandum / Department of Applied Mathematics; No. 1934).

    Research output: Book/ReportReportProfessional

    TY - BOOK

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    AU - Izsak, F.

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    AB - A model of propagating reaction fronts is given for simple autocatalytic reactions and the stability of the propagating reaction fronts are studied in several numerical experiments. The corresponding random walk simulations - extending of a recent algorithm - make possible the simultaneous treatment of moving particles. A systematic comparison with the standard deterministic simulations highlight the advantages of the present stochastic approach. The main favor of the random walk simulation is that the initial perturbation has no strong effect on the stability of the front unlike in deterministic cases.

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    KW - Random walk simulation

    KW - METIS-277498

    KW - Instability

    KW - IR-75757

    KW - EWI-19362

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    BT - Stability of reaction fronts in random walk simulations

    PB - University of Twente, Department of Applied Mathematics

    CY - Enschede

    ER -

    Nagy N, Izsak F. Stability of reaction fronts in random walk simulations. Enschede: University of Twente, Department of Applied Mathematics, 2011. 15 p. (Memorandum / Department of Applied Mathematics; 1934).