2005
DOI: 10.1080/154214091010002
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Biaxial Nematic Droplets and their Optical Textures: A Lattice Model Computer Simulation Study

Abstract: Monte Carlo simulations of polarizing microscope textures for confined nematic droplets are presented. We consider uniaxial and biaxial cases with various boundary conditions and different values of the molecular biaxiality. The analysis of these optical textures should be of interest in assigning and characterizing biaxial nematic system, an issue of great current interest.

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Cited by 16 publications
(11 citation statements)
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References 20 publications
(24 reference statements)
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“…These are interesting properties because optical microscopy (either orthoscopy and conoscopy) is often used as a screening technique for quickly identifying LC phases, Chandrasekhar [13,72] predicted the two-brushes defects to be a signature of N b phases, differently from N u LC which are characterised instead by four-brushes defects. Chiccoli et al [74,42] have theoretically computed the free energy difference between two-and four-brushes defects, and produced optical images from MC computer simulations of a N b lattice model. Such studies have outlined that the presence of topologically stable two-brushes defects is not a universal fingerprint of N b phases because their appearance is related not only to the degree of biaxial orientational ordering but also to the magnitude of elastic constants.…”
Section: Single-site Modelsmentioning
confidence: 99%
See 1 more Smart Citation
“…These are interesting properties because optical microscopy (either orthoscopy and conoscopy) is often used as a screening technique for quickly identifying LC phases, Chandrasekhar [13,72] predicted the two-brushes defects to be a signature of N b phases, differently from N u LC which are characterised instead by four-brushes defects. Chiccoli et al [74,42] have theoretically computed the free energy difference between two-and four-brushes defects, and produced optical images from MC computer simulations of a N b lattice model. Such studies have outlined that the presence of topologically stable two-brushes defects is not a universal fingerprint of N b phases because their appearance is related not only to the degree of biaxial orientational ordering but also to the magnitude of elastic constants.…”
Section: Single-site Modelsmentioning
confidence: 99%
“…Models (and simulations) have been extensively used to study distributions of the nematic directors and topological defects [13,72,73,74,42,75] in N b . Theories for the elastic [76,77,78,79,80,81,82,83,41], flexoelectric [84,85], and rheological [86] behaviour of N b have also been proposed.…”
Section: Order Parameters and Theoriesmentioning
confidence: 99%
“…Because of their simplicity, it is possible to simulate systems that contain millions of spins. This allows the study of systems in complex geometries, such as in porous or disordered networks,52 or in device configurations 17, 28…”
Section: Computer Simulation Models Of Liquid Crystalsmentioning
confidence: 99%
“…One of the main limiting factors is the computational cost of atomistic simulations. Even on the largest available computers, it is rarely possible to simulate for longer than a few tens of nanoseconds for 1 000 atoms 52…”
Section: Computer Simulation Models Of Liquid Crystalsmentioning
confidence: 99%
“…Phase diagram along parabolic trajectory has been extensively studied earlier [17,19], and has been used as a prototype for several investigations [37][38][39][40][41]. The dispersion parabola also defines an interesting boundary separating regions of (γ, λ) parameter space: one region that makes the Hamiltonian fully attractive above the parabola and the other which makes it partly repulsive (below the parabola) [32].…”
Section: Introductionmentioning
confidence: 99%