scholarly journals Wall-curvature driven dynamics of a microswimmer

2021 ◽  
Vol 6 (8) ◽  
Author(s):  
Chaithanya K. V. S. ◽  
Sumesh P. Thampi
Keyword(s):  
2013 ◽  
Vol 33 (12) ◽  
pp. 3536-3539
Author(s):  
Donghai ZHAI ◽  
Wenjie ZUO ◽  
Weixia DUAN ◽  
Jiang YU ◽  
Tongliang LI

2021 ◽  
pp. 2006301
Author(s):  
Satya N. Guin ◽  
Qiunan Xu ◽  
Nitesh Kumar ◽  
Hsiang‐Hsi Kung ◽  
Sydney Dufresne ◽  
...  

1994 ◽  
Vol 1 (5) ◽  
pp. 1529-1535 ◽  
Author(s):  
A. A. Ivanov ◽  
A. V. Anikeev ◽  
P. A. Bagryansky ◽  
V. N. Bocharov ◽  
P. P. Deichuli ◽  
...  

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Shawn D. Ryan ◽  
Xiaoyu Zheng ◽  
Peter Palffy-Muhoray

Author(s):  
Damià Gomila ◽  
Edgar Knobloch

Abstract In this work, we revisit some general results on the dynamics of circular fronts between homogeneous states and the formation of localized structures in two dimensions (2D). We show how the bifurcation diagram of axisymmetric structures localized in radius fits within the framework of collapsed homoclinic snaking. In 2D, owing to curvature effects, the collapse of the snaking structure follows a different scaling that is determined by the so-called nucleation radius. Moreover, in the case of fronts between two symmetry-related states, the precise point in parameter space to which radial snaking collapses is not a ‘Maxwell’ point but is determined by the curvature-driven dynamics only. In this case, the snaking collapses to a ‘zero surface tension’ point. Near this point, the breaking of symmetry between the homogeneous states tilts the snaking diagram. A different scaling law is found for the collapse of the snaking curve in each case. Curvature effects on axisymmetric localized states with internal structure are also discussed, as are cellular structures separated from a homogeneous state by a circular front. While some of these results are well understood in terms of curvature-driven dynamics and front interactions, a proper mathematical description in terms of homoclinic trajectories in a radial spatial dynamics description is lacking.


2017 ◽  
Vol 77 (5) ◽  
pp. 1587-1605 ◽  
Author(s):  
Michael Mikucki ◽  
Y. C. Zhou

PLoS ONE ◽  
2018 ◽  
Vol 13 (8) ◽  
pp. e0201746 ◽  
Author(s):  
Mara D. Rueda-Contreras ◽  
José R. Romero-Arias ◽  
José L. Aragón ◽  
Rafael A. Barrio

Sign in / Sign up

Export Citation Format

Share Document