An atomic scale study of two-dimensional quasicrystal nucleation controlled by multiple length scale interactions

Soft Matter ◽  
2020 ◽  
Vol 16 (24) ◽  
pp. 5718-5726
Author(s):  
Sai Tang ◽  
Zhijun Wang ◽  
Jincheng Wang ◽  
Kai Jiang ◽  
Chaoping Liang ◽  
...  

Formation of quasicrystal structures has always been mysterious since the discovery of these magic structures.

CIRP Annals ◽  
2021 ◽  
Author(s):  
Volodymyr Bushlya ◽  
Filip Lenrick ◽  
Axel Bjerke ◽  
Hisham Aboulfadl ◽  
Mattias Thuvander ◽  
...  

Crystals ◽  
2016 ◽  
Vol 6 (8) ◽  
pp. 87 ◽  
Author(s):  
Cinzia Giannini ◽  
Massimo Ladisa ◽  
Davide Altamura ◽  
Dritan Siliqi ◽  
Teresa Sibillano ◽  
...  

Author(s):  
Anthony M.J Davis ◽  
Stefan G Llewellyn Smith

Motivated by problems involving diffusion through small gaps, we revisit two-dimensional eigenvalue problems with localized perturbations to Neumann boundary conditions. We recover the known result that the gravest eigenvalue is O (|ln  ϵ | −1 ), where ϵ is the ratio of the size of the hole to the length-scale of the domain, and provide a simple and constructive approach for summing the inverse logarithm terms and obtaining further corrections. Comparisons with numerical solutions obtained for special geometries, both for the Dirichlet ‘patch problem’ where the perturbation to the boundary consists of a different boundary condition and for the gap problem, confirm that this approach is a simple way of obtaining an accurate value for the gravest eigenvalue and hence the long-term outcome of the underlying diffusion problem.


2021 ◽  
pp. 152876
Author(s):  
Ming Jiang ◽  
Adel El-Turke ◽  
Georgi Lolov ◽  
Kavin Ammigan ◽  
Patrick Hurh ◽  
...  

1989 ◽  
Vol 111 (4) ◽  
pp. 414-419 ◽  
Author(s):  
T. Solberg ◽  
K. J. Eidsvik

A model for two-dimensional flows over a cylinder at a plane boundary is developed. The model, based upon a (k-ε) turbulence closure, is formulated in a curvilinear coordinate system based upon frictionless flow. A length scale modification in areas of adverse pressure gradient and recirculating flow appears to be more realistic than the standard (k-ε) model. The main features of the predicted flow do not depend critically upon the details of the grid or model, which means that a well defined solution is obtained. The solution appears to be reasonable and validated to the extent that the data permits.


Nano Letters ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 6030-6036 ◽  
Author(s):  
Shuai Zhang ◽  
Lei Gao ◽  
Aisheng Song ◽  
Xiaohu Zheng ◽  
Quanzhou Yao ◽  
...  

2020 ◽  
Vol 102 (19) ◽  
Author(s):  
A. V. Matetskiy ◽  
N. V. Denisov ◽  
D. V. Gruznev ◽  
L. V. Bondarenko ◽  
A. Y. Tupchaya ◽  
...  

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