Computer Simulations and Defects in Confined Liquid Crystal Lattice Models

2001 ◽  
pp. 87-112 ◽  
Author(s):  
C. Chiccoli ◽  
P. Pasini ◽  
I. Feruli ◽  
C. Zannoni
Keyword(s):  
Liquid Crystal ◽  
Crystal Lattice ◽  
Computer Simulations ◽  
Lattice Models

Liquid Crystal Lattice Models I. Bulk Systems

2000 ◽  
pp. 99-119 ◽  
Author(s):  
Paolo Pasini ◽  
Cesare Chiccoli ◽  
Claudio Zannoni
Keyword(s):  
Liquid Crystal ◽  
Crystal Lattice ◽  
Lattice Models

Liquid Crystal Lattice Models on Quadrics Supercomputers

1997 ◽  
Vol 08 (03) ◽  
pp. 547-554 ◽  
Author(s):  
Sigismondo Boschi ◽  
Marco P. Brunelli ◽  
Claudio Zannoni ◽  
Cesare Chiccoli ◽  
Paolo Pasini
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Liquid Crystal ◽  
Crystal Lattice ◽  
Applied Field ◽  
Lattice Models ◽  
Massively Parallel ◽  
Isotropic Phase ◽  
Monte Carlo Code

The implementation of a Monte Carlo code for simulations of liquid crystal lattice models on the Quadrics massively parallel SIMD supercomputer is described. The use of a Quadrics with 512 processors is proving essential in studying the nematic–isotropic phase transition to an unprecedented level of accuracy using more than 106 particles. Here some tests on the Lebwohl–Lasher model with and without an applied field are presented.

THREE-DIMENSIONAL VISUALIZATION OF MOLECULAR ORGANIZATION AND PHASE TRANSITIONS IN LIQUID CRYSTAL LATTICE MODELS

1992 ◽  
Vol 03 (06) ◽  
pp. 1209-1220 ◽  
Author(s):  
CESARE CHICCOLI ◽  
PAOLO PASINI ◽  
FRANCO SEMERIA ◽  
CLAUDIO ZANNONI
Keyword(s):  
Monte Carlo ◽  
Liquid Crystal ◽  
Crystal Lattice ◽  
Personal Computer ◽  
Three Dimensional ◽  
Lattice Models ◽  
Point Of View ◽  
Molecular Organization ◽  
Computer Visualization ◽  
Physical Information

An example of three-dimensional animation of Monte Carlo simulation results of liquid crystal lattice models is presented. Molecular configurations are obtained from Monte Carlo simulations on a VAX cluster and downloaded to a 486 personal computer. Visualization of molecular organizations and of their change at a phase transition is obtained by suitable colour coding of orientations and of other relevant physical information on the personal computer, and recorded on a VHS system using a genlock card. The animation sequences generated have a twofold interest: they are useful for educational purposes and, from a scientific point of view, they provide a tool for exploring a large amount of data and investigating the phenomena under study in a non-numerical way.

scholarly journals A Novel (2, 3)-Threshold Reversible Secret Image Sharing Scheme Based on Optimized Crystal-Lattice Matrix

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2063
Author(s):  
Jiang-Yi Lin ◽  
Ji-Hwei Horng ◽  
Chin-Chen Chang
Keyword(s):  
Crystal Lattice ◽  
Three Dimensional ◽  
Lattice Models ◽  
Cover Image ◽  
Secret Image Sharing ◽  
Secret Data ◽  
Secret Image ◽  
Image Sharing ◽  
Sharing Scheme ◽  
Growth Phenomenon

The (k, n)-threshold reversible secret image sharing (RSIS) is technology that conceals the secret data in a cover image and produces n shadow versions. While k (kn) or more shadows are gathered, the embedded secret data and the cover image can be retrieved without any error. This article proposes an optimal (2, 3) RSIS algorithm based on a crystal-lattice matrix. Sized by the assigned embedding capacity, a crystal-lattice model is first generated by simulating the crystal growth phenomenon with a greedy algorithm. A three-dimensional (3D) reference matrix based on translationally symmetric alignment of crystal-lattice models is constructed to guide production of the three secret image shadows. Any two of the three different shares can cooperate to restore the secret data and the cover image. When all three image shares are available, the third share can be applied to authenticate the obtained image shares. Experimental results prove that the proposed scheme can produce secret image shares with a better visual quality than other related works.

Infrared Liquid Crystal Tunable Filters

1997 ◽  
Vol 479 ◽  
Author(s):  
Shin-Tson Wu ◽  
Chiung-Sheng Wu
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Absorption Coefficient ◽  
Response Time ◽  
Layer Thickness ◽  
Absorption Spectra ◽  
Computer Simulations ◽  
Contrast Ratio ◽  
Tunable Filters ◽  
Fabry Perot

AbstractComputer simulations on Fabry-Perot liquid crystal tunable filters are performed in the 3–5 and 8–12 μm bands and some discrete laser lines. Effects of transmittance, contrast ratio and response time on liquid crystal birefringence, layer thickness, absorption coefficient and reflectivity of mirrors are analyzed. Absorption spectra and responsible mechanisms of liquid crystals in the 2.5–20 μm region are studied. The fluorinated tolane and diphenyl-diacetylenes and dialkyl diphenyldiacetylenes are found to possess low absorption in the mid-IR range. Mixtures of these compounds will find useful applications for the proposed IR tunable filters.

Molecular-Dynamics Simulations of Polymer Surfaces and Interfaces

MRS Bulletin ◽  
1997 ◽  
Vol 22 (1) ◽  
pp. 27-31 ◽  
Author(s):  
Gary S. Grest ◽  
Martin-D. Lacasse ◽  
Michael Murat
Keyword(s):  
Computer Simulations ◽  
Critical Role ◽  
Lattice Models ◽  
Polymer Melt ◽  
Theoretical Models ◽  
Single Chain ◽  
Surfaces And Interfaces ◽  
Lattice Polymer ◽  
Polymer Models ◽  
Dynamics Simulations

From a single chain in a dilute solution to an entangled polymer melt, from bulk systems to more complex interfacial problems, computer simulations have played a critical role not only in testing the basic assumptions of various theoretical models but also in interpreting experimental results. Early computer simulations of polymers were mostly carried out on a lattice using Monte Carlo methods. This approach has led to significant progress in recent years and will continue to do so in many areas. In some cases however, for example in the study of shear, lattice models have serious limitations. For this reason and also due to the availability of more powerful computers, continuum, off-lattice polymer models have recently become popular. In this article, we review some of the recent progress in studying polymers at surfaces and interfaces using continuum models.

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