三维Lennard-Jones流体中的李雅普诺夫模
Lyapunov modes in three-dimensional Lennard-Jones fluids
摘要：
最近对一维Lennard-Jones流体的相空间动力学的研究揭示了与系统的最小正李雅普诺夫指数相关的规则集体扰动的存在，称为流体动力学李雅普诺夫模式，这以前只能在硬核流体中识别。在这项工作中，我们提出了一个系统的研究李雅普诺夫指数和李雅普诺夫向量，即沿每个方向的相空间的扰动，三维Lennard-Jones流体。通过对李雅普诺夫矢量分量的坐标部分的空间密度进行傅立叶变换，然后对该结果进行时间平均，我们发现了纵向模式的令人信服的特征，对于所有研究的密度，横向模式的证据都是不确定的。此外，对于较高的密度值，可以更清楚地识别纵向模式。因此，根据我们的研究结果，混合的模式诱导的动力学和维数诱导一个迄今为止未知类型的顺序在这里研究的模型在高密度值的切线空间。
英文摘要：
Recent studies on the phase-space dynamics of a one-dimensional Lennard-Jones fluid reveal the existence of regular collective perturbations associated with the smallest positive Lyapunov exponents of the system, called hydrodynamic Lyapunov modes, which previously could only be identified in hard-core fluids. In this work we present a systematic study of the Lyapunov exponents and Lyapunov vectors, i.e. perturbations along each direction of phase space, of a three-dimensional Lennard-Jones fluid. By performing the Fourier transform of the spatial density of the coordinate part of the Lyapunov vector components and then time-averaging this result we find convincing signatures of longitudinal modes, with inconclusive evidence of transverse modes for all studied densities. Furthermore, the longitudinal modes can be more clearly identified for the higher density values. Thus, according to our results, the mixing of modes induced both by the dynamics and the dimensionality induce a hitherto unknown type of order in the tangent space of the model herein studied at high density values.
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。
