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arXiv 0902.1654cond-mat.stat-mech
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带噪声的自催化反应扩散模型的大尺度突现性质

Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise

David Hochberg, Felipe Lesmes, Federico Moran, Juan Perez-Mercader

摘要:

利用动力学重整化群,在微扰论的首阶下研究了一类随机形式的Gray-Scott(GS)模型的非平衡动力学涨落.对于空间和时间相关的噪声源,在单圈阶存在吸引稳定不动点,并预测了关联函数的渐近标度。新的有效的三体反应条款,不存在于原来的GS模型,引起的波动和非线性的综合相互作用。

英文摘要:

The non-equilibrium dynamic fluctuations of a stochastic version of the Gray-Scott (GS) model are studied analytically in leading order in perturbation theory by means of the dynamic renormalization group. There is an attracting stable fixed point at one-loop order, and the asymptotic scaling of the correlation functions is predicted for both spatial and temporally correlated noise sources. New effective three-body reaction terms, not present in the original GS model, are induced by the combined interplay of the fluctuations and nonlinearities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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