Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems

Details Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems

2004-01-24

arxiv.org/abs/cond-mat/0401479v1

Physical Review E70 (2004) 011103

Physics

Condensed Matter

Statistical Mechanics

13 pages, 1 figure, LaTeX2e

Scientific paper

10.1103/PhysRevE.70.011103

Perturbations around autonomous one-dimensional single-species reaction-diffusion systems are investigated. It is shown that the parameter space corresponding to the autonomous systems is divided into two parts: In one part, the system is stable against the perturbations, in the sense that largest relaxation time of the one-point functions changes continuously with perturbations. In the other part, however, the system is unstable against perturbations, so that any small perturbation drastically modifies the large-time behavior of the one-point functions.

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