Transition Phenomena Induced by Internal Noise and Quasi-Absorbing State(General)

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概要

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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.

• 社団法人日本物理学会の論文
• 2008-04-15

著者

• Ohkubo Jun

  Institute For Solid State Physics University Of Tokyo

• Kessler David

  Department Of Physics Bar-ilan University

• SHNERB Nadav

  Department of Physics, Bar-Ilan University

• Shnerb Nadav

  Department Of Physics Bar-ilan University

関連論文

• Transition Phenomena Induced by Internal Noise and Quasi-Absorbing State(General)
• Free Energy of Disordered Urn Models in the Canonical Ensemble

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