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基板上的活性XY模型:密度波动和相序

Astik Haldar¹, Apurba Sarkar², Swarnajit Chatterjee³

¹Theory Division, Saha Institute of Nuclear Physics, A CI of Homi Bhabha National Institute, 1/AF Bidhannagar, Calcutta 700064, West Bengal, India.

Physical review. E

|October 18, 2023

概括

这项研究揭示了具有保存定律的活跃XY模型中的新型缩放行为,显示了没有水力动力相互作用的相同步. 该系统表现出独特的近距离远程顺序,可调节的相位和密度波动.

科学领域:

统计力学统计力学
软物质物理学软物质物理学
非平衡系统非平衡系统

背景情况:

活性物质系统表现出由内部能量消耗驱动的复杂行为.
了解相序和波动对于活性物质至关重要.
保护法则对活跃系统的集体动态有很大的影响.

研究的目的:

为了探索一个活跃的XY模型与保存物种的长波长特性.
为了研究这个非平衡系统中的相位同步和缩放行为.
为了建立相位和密度波动之间的对应.

主要方法:

一个基于代理的模型的蒙特卡洛模拟.
系统的水力动力学理论.
对缩放行为和相序的分析.

主要成果:

在没有水力动力相互作用的情况下实现相位同步.
新型缩放行为与通用类长距离顺序 (QLRO).
阶段顺序和密度波动之间的一对一对应,可通过模型参数调节.
在其他参数体系中识别无序状态和稳定集群.

结论:

具有保存规律的活跃XY模型显示了独特的,可调节的缩放特性.
该系统可以表现出稳定的有序相与一般化的QLRO,不同于平衡系统.
水力动力学理论将这种模型与卡达尔-帕里西-张 (KPZ) 表面波动联系起来,这意味着新的稳定波动表面.

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X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...