Scaling Behavior of Diffusion-Controlled Recombination with a Source

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概要

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• Scaling behavior of diffusion-controlled recombination with a source, A+A→0 and 0→A, is investigated on the basis of a field-theoretical renormalization group technique and an associated scaling theory. The renormalization is performed exactly to all orders in perturbation and a rigorous scaling relation is derived. It becomes evident that at d<d_c=2, steady-state density ρ_∞ depends nonclassically on a production rate k_p and a recombination rate k_r as ρ_∞ ∝k^<d/(2+d)>_pk^<-2/(2+d)>_r. The scaling analysis shows that the relaxation rate γ toward the steady state also exhibits nonclassical behavior, γ∝(k_p k_r)^<2/(2+d)>.

• 社団法人日本物理学会の論文
• 1993-06-15

著者

• Ohtsuki Toshiya

  Department Of Applied Physics Faculty Of Engineering University Of Tokyo

• Ohtsuki Toshiya

  Department Of Applied Physics Fukui University

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