Continuously varying exponents in reaction-diffusion systems

T. J. Newman

doi:10.1088/0305-4470/28/6/001

Continuously varying exponents in reaction-diffusion systems

T. J. Newman

Research output: Contribution to journal › Article › peer-review

8 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 language	English
Pages (from-to)	L183-L190
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	28
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/28/6/001
Publication status	Published - 23 Mar 1995

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title = "Continuously varying exponents in reaction-diffusion systems",

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.",

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AB - 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.

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JO - Journal of Physics A: Mathematical and General

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Continuously varying exponents in reaction-diffusion systems

Abstract

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