Chiral segregation of hockey-stick shaped particles in two dimensions

RSC Advances ◽  
2014 ◽  
Vol 4 (39) ◽  
pp. 20489-20495 ◽  
Author(s):  
J. A. Martínez-González ◽  
R. Pablo-Pedro ◽  
J. C. Armas-Pérez ◽  
G. A. Chapela ◽  
J. Quintana-H
Keyword(s):  
Liquid Crystalline ◽  
Two Dimensions ◽  
Repulsive Potential ◽  
Line Segments ◽  
Hockey Stick ◽  
Crystalline Aggregates

Chiral segregation and liquid crystalline aggregates in two dimensions are studied for a heterochiral mixture of oversimplified versions of so called hockey stick-shaped particles, made with two line segments that interact via an infinitely repulsive potential.

Mapping with Monocular Vision in Two Dimensions

2010 ◽  
Vol 1 (4) ◽  
pp. 56-65 ◽  
Author(s):  
Nicolau Leal Werneck ◽  
Anna Helena Reali Costa
Keyword(s):  
Optical Axis ◽  
Two Dimensions ◽  
Obstacle Detection ◽  
Uniform Motion ◽  
Mapping Algorithms ◽  
Multiple Images ◽  
Line Segments ◽  
Straight Line ◽  
Camera Intrinsic Parameters ◽  
Over Time

This article presents the problem of building bi-dimensional maps of environments when the sensor available is a camera used to detect edges crossing a single line of pixels and motion is restricted to a straight line along the optical axis. The position over time must be provided or assumed. Mapping algorithms for these conditions can be built with the landmark parameters estimated from sets of matched detection from multiple images. This article shows how maps that are correctly up to scale can be built without knowledge of the camera intrinsic parameters or speed during uniform motion, and how performing an inverse parameterization of the image coordinates turns the mapping problem into the fitting of line segments to a group of points. The resulting technique is a simplified form of visual SLAM that can be better suited for applications such as obstacle detection in mobile robots.

scholarly journals Numerical evidence of liquid crystalline mesophases of a lollipop shaped model in two dimensions

AIP Advances ◽  
2017 ◽  
Vol 7 (12) ◽  
pp. 125202 ◽  
Author(s):  
G. R. Pérez-Lemus ◽  
J. C. Armas-Pérez ◽  
G. A. Chapela ◽  
J. Quintana-H.
Keyword(s):  
Liquid Crystalline ◽  
Two Dimensions ◽  
Numerical Evidence

Induced frustrated twist grain boundary liquid crystalline phases in binary mixtures of achiral hockey stick-shaped and chiral rod-like materials

2019 ◽  
Vol 7 (34) ◽  
pp. 10530-10543 ◽  
Author(s):  
Susanta Chakraborty ◽  
Malay Kumar Das ◽  
Alexej Bubnov ◽  
Wolfgang Weissflog ◽  
Dorota Węgłowska ◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Grain Boundary ◽  
Binary Mixtures ◽  
Liquid Crystalline ◽  
Ferroelectric Liquid Crystal ◽  
Crystalline Phases ◽  
Hockey Stick ◽  
Liquid Crystalline Phases

Induction of TGB phases in binary mixtures of hockey stick-shaped and chiral ferroelectric liquid crystal compounds.

scholarly journals Cover Picture: On the “Tertiary Structure” of Poly-Carbenes; Self-Assembly of sp3-Carbon-Based Polymers into Liquid-Crystalline Aggregates (Chem. Eur. J. 35/2013)

2013 ◽  
Vol 19 (35) ◽  
pp. 11457-11457
Author(s):  
Nicole M. G. Franssen ◽  
Bernd Ensing ◽  
Maruti Hegde ◽  
Theo J. Dingemans ◽  
Ben Norder ◽  
...  
Keyword(s):  
Self Assembly ◽  
Liquid Crystalline ◽  
Tertiary Structure ◽  
Crystalline Aggregates ◽  
Carbon Based

Liquid crystalline behaviors of three series of hockey stick-like compounds

2020 ◽  
Vol 709 (1) ◽  
pp. 1-13
Author(s):  
Gege Jin ◽  
Yongmin Guo ◽  
Limin Wu ◽  
Yi Li ◽  
Baozong Li ◽  
...  
Keyword(s):  
Liquid Crystalline ◽  
Hockey Stick

ULTRASOUND AS A PROBE OF PLASTICITY? THE INTERACTION OF ELASTIC WAVES WITH DISLOCATIONS

2009 ◽  
Vol 19 (08) ◽  
pp. 2765-2781 ◽  
Author(s):  
AGNES MAUREL ◽  
VINCENT PAGNEUX ◽  
FELIPE BARRA ◽  
FERNANDO LUND
Keyword(s):  
Elastic Wave ◽  
Elastic Waves ◽  
Plane Waves ◽  
Dislocation Line ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Dislocation Segment ◽  
Plastic Behavior ◽  
Line Segments

An overview of recent work on the interaction of elastic waves with dislocations is given. The perspective is provided by the wish to develop nonintrusive tools to probe plastic behavior in materials. For simplicity, ideas and methods are first worked out in two dimensions, and the results in three dimensions are then described. These results explain a number of recent, hitherto unexplained, experimental findings. The latter include the frequency dependence of ultrasound attenuation in copper, the visualization of the scattering of surface elastic waves by isolated dislocations in LiNbO 3, and the ratio of longitudinal to transverse wave attenuation in a number of materials. Specific results reviewed include the scattering amplitude for the scattering of an elastic wave by a screw, as well as an edge, dislocation in two dimensions, the scattering amplitudes for an elastic wave by a pinned dislocation segment in an infinite elastic medium, and the wave scattering by a sub-surface dislocation in a semi-infinite medium. Also, using a multiple scattering formalism, expressions are given for the attenuation coefficient and the effective speed for coherent wave propagation in the cases of anti-plane waves propagating in a medium filled with many, randomly placed screw dislocations; in-plane waves in a medium similarly filled with randomly placed edge dislocations with randomly oriented Burgers vectors; elastic waves in a three-dimensional medium filled with randomly placed and oriented dislocation line segments, also with randomly oriented Burgers vectors; and elastic waves in a model three-dimensional polycrystal, with only low angle grain boundaries modeled as arrays of dislocation line segments.

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