Adsorption phenomena and anchoring energy in nematic liquid crystals

Abstract

NEMATIC LIQUID CRYSTALS: FUNDAMENTALS AND BULK PROPERTIES Nematic Order Parameters Maier-Saupe Approach for the Nematic-Isotropic Phase Transition Continuum Description of the Nematic Phase External Field Contribution to the Elastic Energy Density Equilbrium Configuration in Strong and Weak Anchoring Situations NEMATIC LIQUID CRYSTALS: SURFACE PROPERTIES Anchoring The Anchoring Energy Function Periodic Deformations in Nematic Liquid Crystals Spontaneous Periodic Distortions in Nematic Liquid Crystals: Dependence on the Tilt Angle Theoretical Models for the Surface Free Energy Stochastic Contribution to the Anchoring Energy: Deviation from the Rapini-Papolar Expression Validity of the Elastic Model for Nematic Surface Anchoring Energy Contribution of the Smectic-Nematic to the Surface Energy TEMPERATURE DEPENDENCE OF THE SURFACE FREE ENERGY Thermal Relaxation Model of Surface Director Gliding in Lyotropic Liquid Crystals Thermal Renormalization of the Anchoring Energy Temperature Induced Surface Transition in Nematic Liquid Crystals Oriented by Evaporated SiOx A Local Self-Consistent Approach to the Phase Transition at the Nematic Liquid Crystal - Wall Interface SURFACE ADSORPTION OF PARTICLES: GENERAL CHARACTERISTICS Introduction Statement of the Problem: Langmuir's Isotherm Surface Adsorption and Anchoring Transition Photo-Manipulation of the Anchoring Strength of Photochromic Nematic Liquid Crystal Adsorption of Magnetic Grains in Magnetic Fluids Selective Ionic Adsorption in Liquid Crystals SURFACE ELECTRIC FIELD-INDUCED INSTABILITIES IN NEMATIC LIQUID CRYSTALS SAMPLE The General Electrostatic Model Analysis I: Variation Solution of the Eigenvalue Problem Analysis II: Series Solution of the Eigenvalue Problem Role of the Elastic Term Linear in the Spatial Derivatives of the Nematic Director in a 1D Geometry Conclusions IONS AND NEMATIC SURFACE ENERGY: BEYOND THE EXPONENTIAL APPROXIMATION FOR THE ELECTRIC FIELD OF IONIC ORIGIN Introduction Theoretical Model: Non-Linear Poisson-Boltzman Equation External Electric Field Effect in the Nematic Anchoring Energy Contribution to the Surface Energy of Dielectric Origin Conclusions ADSORPTION PHENOMENON AND EXTERNAL FIELD EFFECT ON AN ISOTROPIC LIQUID CONTAINING IMPURITIES Introduction The Model The Charge and Field Distributions Ionic Adsorption in the Absence of External Equilibrium Distribution of Charges Extensions of the Model Influence of the Adsorption Energy in the Dieletric Contribution to the Anchoring Energy FERMILIKE DESCRIPTION OF THE ADSORPTION PHENOMENON Introduction The Fermi-Like Model Application: Ion Adsorption in Isotropic Fluids Limits Numerical Results Conclusions