Transition phenomena induced by internal noise and quasi-absorbing state

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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.

Original languageEnglish
Article number044002
JournalJournal of the Physical Society of Japan
Issue number4
StatePublished - Apr 2008


  • Biochemical systems
  • Fokker-Planck equation
  • Random walk model
  • Stochastic process
  • Transition phenomena


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