Eckhaus instability and defect nucleation in two-dimensional anisotropic systems

1991 ◽  
Vol 43 (10) ◽  
pp. 5728-5731 ◽  
Author(s):  
Steffen Rasenat ◽  
Erez Braun ◽  
Victor Steinberg
Keyword(s):  
Two Dimensional ◽  
Anisotropic Systems ◽  
Defect Nucleation ◽  
Eckhaus Instability

scholarly journals Anisotropic nanocrystal shape and ligand design for co-assembly

2021 ◽  
Vol 7 (23) ◽  
pp. eabf9402
Author(s):  
Katherine C. Elbert ◽  
William Zygmunt ◽  
Thi Vo ◽  
Corbin M. Vara ◽  
Daniel J. Rosen ◽  
...  
Keyword(s):  
Rational Design ◽  
Ligand Design ◽  
Building Blocks ◽  
Two Dimensional ◽  
Secondary System ◽  
Assembly Design ◽  
Ligand Shell ◽  
Powerful Approach ◽  
Anisotropic Systems ◽  
Direct Materials

The use of nanocrystal (NC) building blocks to create metamaterials is a powerful approach to access emergent materials. Given the immense library of materials choices, progress in this area for anisotropic NCs is limited by the lack of co-assembly design principles. Here, we use a rational design approach to guide the co-assembly of two such anisotropic systems. We modulate the removal of geometrical incompatibilities between NCs by tuning the ligand shell, taking advantage of the lock-and-key motifs between emergent shapes of the ligand coating to subvert phase separation. Using a combination of theory, simulation, and experiments, we use our strategy to achieve co-assembly of a binary system of cubes and triangular plates and a secondary system involving two two-dimensional (2D) nanoplates. This theory-guided approach to NC assembly has the potential to direct materials choices for targeted binary co-assembly.

Molecular Dynamics Computer Simulation of the Rupture of the two - Dimensional Lennard - Jones Film

1990 ◽  
Vol 188 ◽  
Author(s):  
John F. Maguire ◽  
Chun- Pok Leung
Keyword(s):  
Molecular Dynamics ◽  
Computer Simulation ◽  
Tensile Failure ◽  
Dynamical Response ◽  
Two Dimensional ◽  
Lennard Jones ◽  
Random Forces ◽  
Internal Stress Field ◽  
Defect Nucleation ◽  
Reduced Temperature

ABSTRACTWe have conducted a molecular dynamics computer simulation of the rupture of a small, two-dimensional film. The film was composed of two hundred atoms arranged on a close-packed triangular lattice and was thermally equilibrated at a reduced temperature of 0.05. Following equilibration, the rupture characteristics of the film were investigated under tensile loading, and the atomistic dynamical response was followed throughout the rupture process. An estimate of the internal stress field was made by performing a time average over the random forces. In tensile failure, the system undergoes an initial elastic deformation followed by plastic flow. The fundamental mechanisms of defect nucleation are briefly discussed.

scholarly journals Quantifying alignment in carbon nanotube yarns and similar two‐dimensional anisotropic systems

2021 ◽  
pp. 50939
Author(s):  
Adarsh Kaniyoor ◽  
Thurid S. Gspann ◽  
Jenifer E. Mizen ◽  
James A. Elliott
Keyword(s):  
Carbon Nanotube ◽  
Two Dimensional ◽  
Anisotropic Systems ◽  
Carbon Nanotube Yarns

Superuniversal Critical Behavior in Two-Dimensional Random Anisotropic Models with Discrete Symmetries

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1301-1309
Author(s):  
G. Jug ◽  
B. N. Shalaev
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Ising Model ◽  
Critical Behavior ◽  
Quenched Disorder ◽  
Two Dimensional ◽  
Anisotropic Models ◽  
Conformal Field ◽  
Logarithmic Corrections ◽  
Anisotropic Systems

We study the critical behavior of two-dimensional (2D) anisotropic systems with weak quenched disorder described by the Ising model (IM) with random bonds, the dilute N-color Ashkin–Teller model (ATM) and some its generalizations. It is shown that all these models exhibit the same critical behavior as that of the 2D-IM apart from some logarithmic corrections. The minimal conformal field theory (CFT) models with randomness are found to be described by critical exponents which are numerically very close to those of the pure 2D-IM.

scholarly journals Lagrangian Transport and Chaotic Advection in Two-Dimensional Anisotropic Systems

2017 ◽  
Vol 119 (1) ◽  
pp. 225-246 ◽  
Author(s):  
Stephen Varghese ◽  
Michel Speetjens ◽  
Ruben Trieling
Keyword(s):  
Chaotic Advection ◽  
Two Dimensional ◽  
Lagrangian Transport ◽  
Anisotropic Systems

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

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