Continuously varying exponents in reaction-diffusion systems

T. J. Newman

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    We propose a simple reaction-diffusion model-describing a class of competitive multi-species reactions. The model is exactly solvable at its upper critical dimension du=2. The local moments of the component concentrations follow a power-law decay with exponents which vary continuously with system parameters. The exponents also have an underlying multifractal spectrum. The main results are supported by results from a numerical integration of the model.
    Original languageEnglish
    Pages (from-to)L183-L190
    Number of pages8
    JournalJournal of Physics A: Mathematical and General
    Volume28
    Issue number6
    DOIs
    Publication statusPublished - 23 Mar 1995

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