|
Special Issue:
SPECIAL TOPIC — Active matters physics
|
| SPECIAL TOPIC—Active matters physics |
Prev
Next
|
|
|
Diffusion and collective motion of rotlets in 2D space |
| Daiki Matsunaga, Takumi Chodo, Takuma Kawai |
| Graduate School of Engineering Science, Osaka University, 5608531 Osaka, Japan |
|
|
|
|
Abstract We investigate the collective motion of rotlets that are placed in a single plane. Due to the hydrodynamic interactions, the particles move through the two-dimensional (2D) plane and we analyze these diffusive motions. By analyzing the scaling of the values, we predict that the diffusion coefficient scales with φ0.5, the average velocity with φ, and relaxation time of the velocity autocorrelation function with φ-1.5, where φ is the area fraction of the particles. In this paper, we find that the predicted scaling could be seen only when the initial particle position is homogeneous. The particle collective motions are different by starting the simulation from random initial positions, and the diffusion coefficient is the largest at a minimum volume fraction of our parameter range, φ=0.05. The deviations based on two initial positions can be explained by the frequency of the collision events. The particles collide during their movements and the inter-particle distances gradually increase. When the area fraction is large, the particles will result in relatively homogeneous configurations regardless of the initial positions because of many collision events. When the area fraction is small (φ < 0.25), on the other hand, two initial positions would fall into different local solutions because the rare collision events would not modify the inter-particle distances drastically. By starting from the homogeneous initial positions, the particles show the maximum diffusion coefficient at φ≈0.20. The diffusion coefficient starts to decrease from this area fraction because the particles start to collide and hinder each other from a critical fraction ～23%. We believe our current work contributes to a basic understanding of the collective motion of rotating units.
|
Received: 28 February 2020
Revised: 10 April 2020
Accepted manuscript online:
|
|
PACS:
|
47.85.-g
|
(Applied fluid mechanics)
|
| |
83.10.-y
|
(Fundamentals and theoretical)
|
|
| Fund: Project supported by JST, ACT-T Grant No. JPMJAX190S Japan and Multidisciplinary Research Laboratory System for Future Developments (MIRAI LAB). |
Corresponding Authors:
Daiki Matsunaga
E-mail: daiki.matsunaga@me.es.osaka-u.ac.jp
|
Cite this article:
Daiki Matsunaga, Takumi Chodo, Takuma Kawai Diffusion and collective motion of rotlets in 2D space 2020 Chin. Phys. B 29 064705
|
| [1] |
Tierno P, Muruganathan R and Fischer T M 2007 Phys. Rev. Lett. 98 028301
|
| [2] |
Coughlan A C H and Bevan M A 2016 Phys. Rev. E 94 042613
|
| [3] |
Pham A T, Zhuang Y, Detwiler P, Socolar J E S, Charbonneau P and Yellen B B 2017 Phys. Rev. E 95 052607
|
| [4] |
Soni V, Bililign E S, Magkiriadou S, Sacanna S, Bartolo D, Shelley M J and Irvine W T 2019 Nat. Phys. 15 1188
|
| [5] |
Driscoll M, Delmotte B, Youssef M, Sacanna S, Donev A and Chaikin P 2017 Nat. Phys. 13 375
|
| [6] |
Kaiser A, Snezhko A and Aranson I S 2017 Sci. Adv. 3 e1601469
|
| [7] |
Kokot G and Snezhko A 2018 Nat. Commun. 9 2344
|
| [8] |
Massana-Cid H, Meng F, Matsunaga D, Golestanian R and Tierno P 2019 Nat. Comm. 10 2444
|
| [9] |
Matsunaga D, Hamilton J K, Meng F, Bukin N, Martin E L, Ogrin F Y, Yeomans J M and Golestanian R 2019 Nat. Comm. 10 4696
|
| [10] |
Kawai T, Matsunaga D, Meng F, Yeomans J M and Golestanian R 2020 arXiv:2003.05082
|
| [11] |
Matsunaga D, Meng F, Zöttl A, Golestanian R and Yeomans J M 2017 Phys. Rev. Lett. 119 198002
|
| [12] |
Matsunaga D, Zöttl A, Meng F, Golestanian R and Yeomans J M 2018 IMA J. Appl. Math. 83 767
|
| [13] |
Meng F, Matsunaga D, Yeomans J M and Golestanian R 2019 Soft Matter 15 3864
|
| [14] |
Petroff A P, Wu X L and Libchaber A 2015 Phys. Rev. Lett. 114 158102
|
| [15] |
Chen X, Yang X, Yang M and Zhang H 2015 Europhys. Lett. 111 54002
|
| [16] |
Pierce C, Wijesinghe H, Mumper E, Lower B, Lower S and Sooryakumar R 2018 Phys. Rev Lett. 121 188001
|
| [17] |
Meng F, Matsunaga D and Golestanian R 2018 Phys. Rev. Lett. 120 188101
|
| [18] |
Uchida N and Golestanian R 2010 Phys. Rev. Lett. 104 178103
|
| [19] |
Goto Y and Tanaka H 2015 Nat. Commun. 6 5994
|
| [20] |
Shen Z and Lintuvuori J S 2020 Phys. Rev. Res. 2 013358
|
| [21] |
Nguyen N H, Klotsa D, Engel M and Glotzer S C 2014 Phys. Rev. Lett. 112 075701
|
| [22] |
Yeo K, Lushi E and Vlahovska P M 2015 Phys. Rev. Lett. 114 188301
|
| [23] |
Ai B Q, Shao Z Q and Zhong W R 2018 Soft Matter 14 4388
|
| [24] |
Kim S and Karrila J S 1991 Microhydrodynamics - Principles and Selected Applications (New York: Dover Publications, Inc.)
|
| [25] |
Durlofsky L, Brady J F and Bossis G 1987 J. Fluid Mech. 180 21
|
| [26] |
Brady J F and Bossis G 1988 Annu. Rev. Fluid Mech. 20 111
|
| [27] |
Lushi E and Vlahovska P M 2015 J. Nonlinear Sci. 25 1111
|
| [28] |
Rotne J and Prager S 1969 J. Chem. Phys. 50 4831
|
| [29] |
Yamakawa H 1970 J. Chem. Phys. 53 436
|
| [30] |
Llopis I and Pagonabarraga I 2008 Eur. Phys. J. E 26 103
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
