Transition Phenomena Induced by Internal Noise and Quasi-absorbing State

Details Transition Phenomena Induced by Internal Noise and Quasi-absorbing State Transition Phenomena Induced by Internal Noise and Quasi-absorbing State

2007-09-03

arxiv.org/abs/0709.0155v3

J. Phys. Soc. Jpn. 77, 044002 (2008)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures

Scientific paper

10.1143/JPSJ.77.044002

We study a simple chemical reaction system and effects of the internal noise. The chemical reaction system causes the same transition phenomenon discussed by Togashi and Kaneko [Phys. Rev. Lett. 86 (2001) 2459; J. Phys. Soc. Jpn. 72 (2003) 62]. By using the simpler model than Togashi-Kaneko's one, we discuss the transition phenomenon by means of a random walk model and an effective model. The discussion makes it clear that quasi-absorbing states, which are produced by the change of the strength of the internal noise, play an important role in the transition phenomenon. Stabilizing the quasi-absorbing states causes bifurcation of the peaks in the stationary probability distribution discontinuously.

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