摘要翻译:
我们研究了一个简单的化学反应系统和内部噪声的影响。化学反应系统引起Togashi和Kaneko所讨论的相同的跃迁现象[Phys.Rev.Lett.86(2001)2459;J.Phys.Soc.JPN.72(2003)62]。利用比Togashi-Kaneko模型更简单的模型,通过随机游动模型和有效模型讨论了过渡现象。讨论表明,由内噪声强度变化而产生的准吸收态在跃迁现象中起着重要作用。稳定准吸收态导致平稳概率分布中的峰不连续地分叉。
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英文标题:
《Transition Phenomena Induced by Internal Noise and Quasi-absorbing State》
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作者:
Jun Ohkubo, Nadav Shnerb and David A. Kessler
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/709.0155