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关联无序与关联噪声:活性系统中的有序性

Correlated disorder versus correlated noise: Ordering in active systems

Sudip Mukherjee, Abhik Basu

arXiv 2608.28012首次发表:更新:

AI 中文总结

该研究通过流体动力学模型,揭示了淬火无序与非互易性对二维、三维活性系统有序性的调控规律,发现临界指数非普适且可通过无序横向度调节,为活性系统相变研究提供了新视角。

AI 中文摘要

淬火无序能否在受驱动系统中产生有序性?利用近期提出的流体动力学模型,我们证明:当洁净系统在有限噪声下仅呈现短程有序时,足够长程的淬火无序仍可诱导二维非互易XY系统出现长程有序;受相同流体动力学方程支配、被淬火速度切向平流的活性表面,会呈现超扩散或亚扩散弛豫的统计平坦特性。在三维空间中,淬火无序与非互易性结合会产生强耦合与渐近非相互作用区域间的新型相变,支持长程或短程有序。二维与三维系统的临界指数均非普适,会随淬火无序的横向度连续变化;在固定无序与噪声方差下,可通过调节淬火无序的横向度诱导模型发生相变。

英文摘要

Can quenched disorder generate ordering in driven systems? Using a recently proposed hydrodynamic model, we show that sufficiently long-ranged quenched disorder can induce long-range order in two-dimensional (2D) nonreciprocal XY systems, even when the clean system exhibits only short-range order at finite noise. Active surfaces tangentially advected by quenched velocities, governed by the same hydrodynamic equation, become statistically flat with super- or subdiffusive relaxation. In three dimensions (3D), quenched disorder combined with nonreciprocity produces a novel transition between strong-coupling and asymptotically noninteracting regimes, supporting either long- or short-range order. In both 2D and 3D, the exponents are nonuniversal, which vary continuously with the degree of transversality of the quenched disorder. The degree of transversality of the quenched disorder can be tuned to induce transitions in the model for fixed disorder and noise variances.

Comments6 pages, 3 figures (preliminary version)

论文原文

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