J. Phys. Soc. Jpn. 77 (2008) 044002 (5 pages)  |Previous Article| |Next Article|  |Table of Contents|
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Transition Phenomena Induced by Internal Noise and Quasi-Absorbing State

Jun Ohkubo, Nadav Shnerb¹, and David A. Kessler¹

(Received December 6, 2007; Accepted February 1, 2008; Published March 25, 2008)

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. ©2008 The Physical Society of Japan

KEYWORDS: stochastic process, transition phenomena, biochemical systems, random walk model, Fokker–Planck equation
URL: http://jpsj.ipap.jp/link?JPSJ/77/044002/
DOI: 10.1143/JPSJ.77.044002

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