Exact Results for a Diffusion-Limited Pair Annihilation Process on a One-Dimensional Lattice : General Physics
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概要
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The process of pair annihilation of particles diffusing on a ring of one-dimensional lattice is studied analytically. A set of master equations for the distribution functions of particles are solved exactly for the initial condition of uniform, random distribution of particles. An explicit expression for the time dependence of the density of particles is derived from the distribution functions. In the limit of infinite lattice, the present result agrees with the one obtained by [Balding, Clifford and Green: Phys. Lett. A 126 (1988) 481].
- 社団法人日本物理学会の論文
- 2000-05-15
著者
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Sasaki Kazuo
Department Of Neuropsychiatry Fukui Medical University
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Nakagawa Tomohiro
Department Of Applied Physics Tohoku University
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Sasaki Kazuo
Department Of Applied Physics Tohoku University
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Sasaki Kazuo
Department Of Applied Chemistry Faculty Of Engineering Hiroshima University
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Sasaki Kazuo
Department of Applied Physics, Tohoku University
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