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arXiv 2302.01263cond-mat.stat-mech
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平衡态奇扩散系统中的振荡力自相关

Oscillatory force autocorrelations in equilibrium odd-diffusive systems

University of Potsdam(波茨坦大学);Institute of Physics and Astronomy(物理与天文学研究所);University of Augsburg(奥格斯堡大学);Institute of Physics(物理研究所);Leibniz-Institute for Polymer Research(莱布尼茨聚合物研究所);Institute Theory of Polymers(高分子理论研究所);Technical University of Dresden(德累斯顿工业大学);Institute for Theoretical Physics(理论物理研究所);Cluster of Excellence Physics of Life(生命物理学卓越集群);Asia Pacific Centre for Theoretical Physics(亚太理论物理中心)

Erik Kalz, Hidde Derk Vuijk, Jens-Uwe Sommer, Ralf Metzler, Abhinav Sharma

AI总结:

该研究针对平衡态奇扩散系统,解析发现力自相关函数可出现负值甚至时间振荡,证明需含反对称部分的完整自相关张量描述动力学,且粒子相互作用会提升自扩散系数。

摘要:

力自相关函数(FACF)是统计力学中具有基础研究意义的概念,它刻画了相互作用对标记粒子动力学的影响。在平衡态下,人们通常认为FACF随时间单调衰减,这是相互作用导致标记粒子动力学变慢的标志。本文通过解析推导证明,在以具有反对称元素的扩散张量为特征的奇扩散系统中,FACF可以变为负值,甚至表现出时间振荡特性。我们还证明,尽管系统具有各向同性,仅靠FACF不足以描述其动力学:需要完整的自相关张量,且该张量包含反对称部分。这些不寻常的特性意味着标记粒子的动力学得到增强,这可通过自扩散系数量化,值得注意的是,自扩散系数会因粒子相互作用而增大。

英文摘要:

The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in time which is a signature of slowing down of the dynamics of the tagged particle due to interactions. Here we analytically show that in odd-diffusive systems, which are characterized by a diffusion tensor with antisymmetric elements, the FACF can become negative and even exhibit temporal oscillations. We also demonstrate that, despite the isotropy, the knowledge of FACF alone is not sufficient to describe the dynamics: the full autocorrelation tensor is required and contains an antisymmetric part. These unusual properties translate into enhanced dynamics of the tagged particle quantified via the self-diffusion coefficient that, remarkably, increases due to particle interactions.

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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