LATTICE SPIN SIMULATIONS OF TOPOLOGICAL DEFECTS IN NEMATIC FILMS WITH HYBRID SURFACE ALIGNMENTS

2011 ◽  
Vol 22 (05) ◽  
pp. 505-516 ◽  
Author(s):  
CESARE CHICCOLI ◽  
PAOLO PASINI ◽  
LUIZ ROBERTO EVANGELISTA ◽  
RODOLFO TEIXEIRA DE SOUZA ◽  
CLAUDIO ZANNONI
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Elastic Constants ◽  
Elastic Anisotropy ◽  
Topological Defects ◽  
Monte Carlo Study ◽  
Lattice Spin ◽  
Polarized Microscopy ◽  
Microscopy Images

We present a Monte Carlo study of the effects of elastic anisotropy on the textures of nematic films with specific random hybrid boundary conditions. The polarized microscopy images and their evolution are analyzed in uniaxial systems for different values of the elastic constants.

LATTICE SPIN SIMULATIONS OF TOPOLOGICAL DEFECTS IN BIAXIAL NEMATIC FILMS WITH HOMEOTROPIC SURFACE ALIGNMENT

2013 ◽  
Vol 24 (05) ◽  
pp. 1350026 ◽  
Author(s):  
GOURIPEDDI SAI PREETI ◽  
CLAUDIO ZANNONI ◽  
CESARE CHICCOLI ◽  
PAOLO PASINI ◽  
VANKA S. S. SASTRY
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Topological Defects ◽  
Monte Carlo Study ◽  
Surface Alignment ◽  
Lattice Spin ◽  
Polarized Microscopy ◽  
Wide Range ◽  
Microscopy Images ◽  
Biaxial Nematic

We present a detailed Monte Carlo study of the effects of biaxiality on the textures of nematic films with specific homeotropic boundary conditions. We have used the Straley generalized Hamiltonian for a wide range of biaxial parameters and the differences obtained in the polarized microscopy images are analyzed for the various cases.

Topological defects in nematic films between planar degenerate surfaces. A Monte Carlo study

2021 ◽  
pp. 2250016
Author(s):  
Cesare Chiccoli ◽  
Paolo Pasini ◽  
Luiz Roberto Evangelista ◽  
Rodolfo Teixeira de Souza ◽  
Claudio Zannoni
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Defect Structure ◽  
Topological Defects ◽  
Monte Carlo Study ◽  
Geometric Parameters ◽  
Molecular Organization ◽  
The One

The molecular organization of a nematic film sandwiched between two planar randomly aligned surfaces is studied by means of detailed Monte Carlo simulations. The formation as well as the evolution of topological defects induced by these particular boundary conditions are investigated. The resulting defect structure is compared with the one induced by hybrid aligned surfaces. The observation of such defects and some features of their structures can be associated with geometric parameters of the film and with properties of the confining surfaces.

Elastic constants and the formation of topological defects in hybrid nematic cells: A Monte Carlo study

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Cesare Chiccoli ◽  
Paolo Pasini ◽  
Luiz Roberto Evangelista ◽  
Gregor Skačej ◽  
Rodolfo Teixeira de Souza ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Elastic Constants ◽  
Topological Defects ◽  
Monte Carlo Study

scholarly journals From Point to Filament Defects in Hybrid Nematic Films

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Cesare Chiccoli ◽  
Paolo Pasini ◽  
Claudio Zannoni ◽  
Gregor Skačej ◽  
Hiroyuki Yoshida ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Point Defects ◽  
Elastic Constants ◽  
3D Structure ◽  
Support Surface ◽  
Hybrid Films ◽  
Surface Ordering ◽  
Polarized Microscopy ◽  
Homeotropic Alignment

AbstractWe have studied nematic hybrid films with homeotropic alignment at the top surface and various controlled degrees of in plane ordering, going from a random degenerate organization to a completely uniform alignment along one direction, at the bottom one. We show, by Monte Carlo (MC) computer simulations and experiments on photopatterned films with the bottom support surface fabricated with in-plane order similar to the simulated ones, that the point defects observed in the case of random planar orientations at the bottom tend to arrange along a filament as the surface ordering is sufficiently increased. MC simulations complement the polarized microscopy texture observations allowing to inspect the 3D structure of the defects and examine the role of elastic constants.

Grand ensemble Monte Carlo study of crystallization in sub-monolayer adsorption at a solid vapour interface

1978 ◽  
Vol 31 (5) ◽  
pp. 933 ◽  
Author(s):  
JE Lane ◽  
TH Spurling
Keyword(s):  
Monte Carlo ◽  
Adsorption Isotherm ◽  
Thermodynamic Properties ◽  
Boundary Conditions ◽  
Iterative Procedure ◽  
Periodic Boundary ◽  
Monte Carlo Study ◽  
Periodic Boundary Conditions ◽  
Ensemble Monte Carlo ◽  
Monolayer Adsorption

A grand ensemble Monte Carlo procedure is used to examine the thermodynamic properties of a crystal-like layer of krypton adsorbed at sub-monolayer coverages on graphite at 90.12 K. The effect of the periodic boundary conditions on these properties is discussed and used to develop a thermodynamically consistent iterative procedure to estimate the transition pressure and thereby fix the adsorption isotherm.

Elastic Constants of Solid Ar, Kr, and Xe: A Monte Carlo Study

1972 ◽  
Vol 6 (6) ◽  
pp. 2433-2442 ◽  
Author(s):  
M. L. Klein ◽  
R. D. Murphy
Keyword(s):  
Monte Carlo ◽  
Elastic Constants ◽  
Monte Carlo Study
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