Dry Active Matter on a Sphere

球体上的干燥活性物质

• 批准号: EP/M009599/1
• 负责人: Rastko Sknepnek
• 金额: $ 12.07万
• 依托单位: University of Dundee
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2015
• 资助国家: 英国
• 起止时间: 2015 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FM009599%2F1
• 关键词: Dry; Active; Matter; Sphere

When flocks of birds migrate southwards imagine larger and larger swarms moving together on a shrinking globe, until one gigantic flock covers the entire planet. What becomes of their motion if they reach the pole? We propose to build and analyse a model of active particles confined to move on the surface of a sphere. Unlike in the plane where all particles can align with each and travel with the same velocity parallel to each other, motion on the sphere is far more peculiar. This is a direct consequence of the famous Hairy ball theorem that states that "you can't comb a hairy ball flat without creating a cowlick". Translated into the language of active motion, it is not possible for the entire flock to travel with a uniform velocity on the surface of a sphere. As a result, one expects to observe a rich and complex set of motion patterns emerging from the intricate interplay between the curvature and particles' alignment. It is our aim to identify, understand and classify those motion patterns.

当鸟群向南迁徙时，想象一下越来越大的鸟群在一个不断缩小的地球上聚集在一起，直到一个巨大的鸟群覆盖了整个地球。如果它们到达极点，它们的运动将会怎样？我们建议建立和分析一个被限制在球面上运动的活跃粒子的模型。不像在平面上，所有的粒子可以彼此对齐，并以相同的速度彼此平行运动，球体上的运动要奇特得多。这是著名的毛球定理的直接结果，该定理指出，“你不可能把毛球梳平，而不创造一个卷发”。翻译成主动运动的语言，是不可能的，整个群以均匀的速度在一个球体表面上移动。因此，人们期望在曲率和粒子排列之间错综复杂的相互作用中观察到一套丰富而复杂的运动模式。我们的目标是识别、理解和分类这些运动模式。

项目成果

Cell division and death inhibit glassy behaviour of confluent tissues.

细胞分裂和死亡抑制汇合组织的玻璃状行为。

• DOI: 10.1039/c6sm02580c
• 发表时间: 2017
• 期刊: Soft matter
• 影响因子: 3.4
• 作者: Matoz-Fernandez DA

Stiffening Thermal Membranes by Cutting

通过切割加固热膜

• DOI: 10.48550/arxiv.1512.04670
• 发表时间: 2015
• 作者: Russell E

Dynamically generated patterns in dense suspensions of active filaments.

• DOI: 10.1103/physreve.97.022606
• 发表时间: 2016-08
• 期刊: Physical review. E
• 作者: K. Prathyusha;S. Henkes;R. Sknepnek

Effects of scars on icosahedral crystalline shell stability under external pressure.

• DOI: 10.1103/physreve.91.033205
• 发表时间: 2014-10
• 期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
• 作者: Duanduan Wan;M. Bowick;R. Sknepnek

Non-Hookean statistical mechanics of clamped graphene ribbons

• DOI: 10.1103/physrevb.95.104109
• 发表时间: 2017-03-22
• 期刊: PHYSICAL REVIEW B
• 影响因子: 3.7
• 作者: Bowick, Mark J.;Kosmrlj, Andrej;Sknepnek, Rastko
• 通讯作者: Sknepnek, Rastko