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arXiv 2402.19451cond-mat.softcond-mat.stat-mech
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通过反对齐减少密度波动

Reduced density fluctuations via anti-aligning in active matter

Institute for Physics, Greifswald University(格赖夫斯瓦尔德大学物理研究所)

Horst-Holger Boltz, Thomas Ihle

AI总结:

本研究通过反向对齐相互作用减少自驱动系统中的密度波动,揭示了长程相关性的重要性。

摘要:

我们强调了在没有全局秩序或立体相互作用的情况下,自驱动粒子系统中长程相关性的重要性,通过展示长程密度波动被减少来证明这一点。我们使用泊松表示法在二维晶格过程中进行了分析。在此框架下,我们能够推导出泊松场的波动流体动力学。涌现的虚数噪声表明数目的波动非泊松性质,并表现为非平凡的结构因子S(k),我们对其进行解析计算。数值上,我们验证了这些发现对于非晶格维克塞克型模型中的反向对齐相互作用的相关性,我们观察到明显的非普遍超均匀性,我们建议将其解释为密度波动减少到有限值的整数幂律。

英文摘要:

We highlight the importance of long-range correlations in active matter systems of self-propelling particles even in the absence of global order or steric interactions by demonstrating that long-range density fluctuations are reduced. We show this analytically for a one-dimensional lattice process employing a Poisson representation. Within this framework, we are able to derive the fluctuating hydrodynamics for the Poisson fields. The emergent imaginary noise indicates the non-Poissonian nature of the number fluctuations and manifests in a non-trivial structure factor $S(k)$ which we are computing analytically. Numerically, we corroborate the relevance of these findings for off-lattice Vicsek-type models with anti-aligning interactions for which we observe apparent non-universal hyperuniformity which we suggest to interpret as a reduction with integer power-law to a finite value.

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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