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首页> 外文期刊>The Journal of Chemical Physics >Planar mixed flow and chaos: Lyapunov exponents and the conjugate-pairing rule
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Planar mixed flow and chaos: Lyapunov exponents and the conjugate-pairing rule

机译:平面混合流和混沌:李雅普诺夫指数和共轭配对规则

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In this work we characterize the chaotic properties of atomic fluids subjected to planar mixed flow, which is a linear combination of planar shear and elongational flows, in a constant temperature thermodynamic ensemble. With the use of a recently developed nonequilibrium molecular dynamics algorithm, compatible and reproducible periodic boundary conditions are realized so that Lyapunov spectra analysis can be carried out for the first time. Previous studies on planar shear and elongational flows have shown that Lyapunov spectra organize in different ways, depending on the character of the defining equations of the system. Interestingly, planar mixed flow gives rise to chaotic spectra that, on one hand, contain elements common to those of shear and elongational flows but also show peculiar, unique traits. In particular, the influence of the constituent flows in regards to the conjugate-pairing rule (CPR) is analyzed. CPR is observed in homogeneously thermostated systems whose adiabatic (or unthermostated) equations of motion are symplectic. We show that the component associated with the shear tends to selectively excite some of those degrees, and is responsible for violations in the rule.
机译:在这项工作中,我们描述了在恒定温度热力学集合中经受平面混合流的原子流体的混沌特性,该平面混合流是平面剪切流和伸长流的线性组合。通过使用最近开发的非平衡分子动力学算法,可以实现兼容且可重现的周期性边界条件,从而可以首次进行Lyapunov光谱分析。先前对平面剪切和伸长流动的研究表明,取决于系统定义方程的特征,李雅普诺夫光谱以不同的方式组织。有趣的是,平面混合流会产生混沌谱,一方面,它包含与剪切流和伸长流相同的元素,但也显示出独特的特性。特别地,分析了关于共轭配对规则(CPR)的组成流的影响。 CPR在均质恒温系统中观察,该系统的绝热(或未恒温)运动方程式是辛的。我们表明,与剪切有关的分量倾向于选择性地激发其中一些程度,并且是违反规则的原因。

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