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非局域性诱导的前沿相互作用增强。

Nonlocality-induced front-interaction enhancement.

机构信息

Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium.

出版信息

Phys Rev Lett. 2010 Apr 16;104(15):154101. doi: 10.1103/PhysRevLett.104.154101. Epub 2010 Apr 15.

Abstract

We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.

摘要

我们证明了非局域耦合强烈影响连接两个等效状态的前沿的动力学。在两个原型模型中,我们观察到两个相反前沿之间的相互作用强度大幅增强,使前沿速度提高了几个数量级。通过分析空间动力学,我们证明了非局域项不仅可以通过在前沿轮廓中诱导振荡来改变整体定性图像,还可以产生超出定量效应的影响。这为形成局部相互作用不存在的局部结构提供了一种机制。最后,非局域耦合可以导致局部结构的急剧展宽,最终使其消失。

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