scholarly journals Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Patrick Dorey ◽  
Anastasia Gorina ◽  
Ilya Perapechka ◽  
Tomasz Romańczukiewicz ◽  
Yakov Shnir
Keyword(s):  
Resonance Structures ◽  
Completely Integrable ◽  
Rich Variety ◽  
Numerical Studies ◽  
Sine Gordon Model

Abstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the ϕ6-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

Structural phenomena in the growth of carbon nanotubes

1993 ◽  
Vol 51 ◽  
pp. 750-751
Author(s):  
Jun Jiao
Keyword(s):  
Carbon Nanotubes ◽  
Growth Mechanism ◽  
Carbonaceous Material ◽  
Cluster Growth ◽  
Structural Elements ◽  
Rich Variety ◽  
Different Shapes ◽  
Point To Point

HREM studies of the carbonaceous material deposited on the cathode of a Huffman-Krätschmer arc reactor have shown a rich variety of multiple-walled nano-clusters of different shapes and forms. The preparation of the samples, as well as the variety of cluster shapes, including triangular, rhombohedral and pentagonal projections, are described elsewhere.The close registry imposed on the nanotubes, focuses attention on the cluster growth mechanism. The strict parallelism in the graphitic separation of the tube walls is maintained through changes of form and size, often leading to 180° turns, and accommodating neighboring clusters and defects. Iijima et. al. have proposed a growth scheme in terms of pentagonal and heptagonal defects and their combinations in a hexagonal graphitic matrix, the first bending the surface inward, and the second outward. We report here HREM observations that support Iijima’s suggestions, and add some new features that refine the interpretation of the growth mechanism. The structural elements of our observations are briefly summarized in the following four micrographs, taken in a Hitachi H-8100 TEM operating at an accelerating voltage of 200 kV and with a point-to-point resolution of 0.20 nm.

Experimental and numerical studies of radiative shocks

2006 ◽  
Vol 133 ◽  
pp. 1013-1017 ◽  
Author(s):  
C. Michaut ◽  
L. Boireau ◽  
T. Vinci ◽  
S. Bouquet ◽  
M. Koenig ◽  
...  
Keyword(s):  
Radiative Shocks ◽  
Numerical Studies

Study of volcanic resonance structures

2019 ◽  
pp. 51-56
Author(s):  
M.V. Zaretskaya ◽  
◽  
V.V. Lozovoy ◽  
Keyword(s):  
Resonance Structures

Numerical Studies on Behavior of Lorentz-Force-Applied Boundary Layer in Supersonic Flow

2009 ◽  
Vol 129 (6) ◽  
pp. 831-839
Author(s):  
Keisuke Udagawa ◽  
Sadatake Tomioka ◽  
Hiroyuki Yamasaki
Keyword(s):  
Boundary Layer ◽  
Supersonic Flow ◽  
Lorentz Force ◽  
Numerical Studies
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