Power-Law Spectra in Diffusion-Limited Reaction A+B→0 with Source
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概要
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The diffusion-limited reaction proposed by Anacker and Kopelman is investigated by means of correlation functions. This system is self-organized at a stationary state irrespective of initial conditions. In the present article we theoretically find the power-law spectra for the fluctuation of reactant densities : the power spectrum in d-dimensional system is proportional to f^<-1> (f = frequency) for d=2 and f^<-3/2> for d=1. Computer simulations comfirm the result for d=1. On the other hand, in the case of d=2, good agreement between theoretical and numerical results is not yet obtained.
- 社団法人日本物理学会の論文
- 1993-07-15
著者
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Tainaka Kei-ichi
Department Of Physics Ibaraki University
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Tainaka Kei-ichi
Department Of Mathematical Science Ibaraki University
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Kanno Shokichi
Department Of Intelligent System Ichinoseki National College Of Technology
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