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摘要翻译：
利用非平衡势框架，分析了反应扩散系统中随机共振现象的几个方面。将这种形式（在附录中略述）推广到扩展系统，首先是在一个简化的标量模型的背景下进行的，对于该模型，可以解析地找到平稳模式。我们首先说明了在这个框架中如何自然地产生系统大小的随机共振，然后通过让扩散系数依赖于场来进一步增强阵列增强的随机共振现象。FitzHugh-Nagumo系统的一个程式化版本是一个不那么琐碎的概括，它是激活剂-抑制剂类的一个范例。在讨论了上述第二个方面之后，我们通过对抑制剂场的类绝热消除，导出了一个包含非局域贡献的有效标量模型。研究了非局部核的取值范围对随机共振的影响，找到了一个使系统响应最大的最优取值范围。
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英文标题：
《Aspects of stochastic resonance in reaction-diffusion systems: The
nonequilibrium-potential approach》
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作者：
Horacio S. Wio (1) and Roberto R. Deza (2) ((1) Instituto de F\'isica
de Cantabria, Universidad de Cantabria and CSIC, Santander, Spain, (2)
Departamento de F\'isica, FCEyN, Universidad Nacional de Mar del Plata, Mar
del Plata, Argentina)
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最新提交年份：
2007
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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 analyze several aspects of the phenomenon of stochastic resonance in reaction-diffusion systems, exploiting the nonequilibrium potential's framework. The generalization of this formalism (sketched in the appendix) to extended systems is first carried out in the context of a simplified scalar model, for which stationary patterns can be found analytically. We first show how system-size stochastic resonance arises naturally in this framework, and then how the phenomenon of array-enhanced stochastic resonance can be further enhanced by letting the diffusion coefficient depend on the field. A yet less trivial generalization is exemplified by a stylized version of the FitzHugh-Nagumo system, a paradigm of the activator-inhibitor class. After discussing for this system the second aspect enumerated above, we derive from it -through an adiabatic-like elimination of the inhibitor field- an effective scalar model that includes a nonlocal contribution. Studying the role played by the range of the nonlocal kernel and its effect on stochastic resonance, we find an optimal range that maximizes the system's response.
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PDF链接：
https://arxiv.org/pdf/704.1148
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