Diffusion-controlled annihilation in the presence of particle sources: Exact results in one dimension

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Abstract

The steady-state particle density n» and the relaxation time of homogeneous density fluctuations are calculated for one-dimensional systems in which particles move diffusively and annihilate irreversibly, and steady sources of either single particles (model I) or pairs of neighboring particles (model II) are also present. For small particle-production rates h, we find n»h1/ and h with =3, =(2/3) for model I and =2, =1 for model II. If we interpret particles as solitons, model II is used to account for some aspects of the experimental data on the photoinduced absorption of trans-(CH)x.

Original languageEnglish
Pages (from-to)1707-1710
Number of pages4
JournalPhysical Review Letters
Volume55
Issue number17
DOIs
Publication statusPublished - 1985

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particle production
solitary waves
relaxation time
methylidyne

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Cite this

Diffusion-controlled annihilation in the presence of particle sources : Exact results in one dimension. / Rácz, Z.

In: Physical Review Letters, Vol. 55, No. 17, 1985, p. 1707-1710.

Research output: Contribution to journalArticle

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