magistrsko delo
Luka Mesarec (Author), Samo Kralj (Mentor), Aleš Iglič (Co-mentor)

Abstract

Tekoči kristali omogočajo številne vizualizacije geometrijskih zakonitosti. V magistrski nalogi bomo s pomočjo dvodimenzionalnega Landau-de Gennes tenzorskega formalizma proučevali topološke defekte v nematičnih lupinah. Slednje predstavljajo tanko plast nematičnih tekočih kristalov, nanesenih na površino koloidnih delcev. Zapisali bomo funkcional proste energije in za poseben primer osno-simetričnih lupin izpeljali Euler-Lagrangeovi enačbi, ki jih bomo reševali numerično. Raziskali bomo, kako različni seti elastičnih konstant vplivajo na konfiguracije topoloških defektov pri različnih elipsoidih. Poudarek bo na vplivu tako imenovanega Napolijevega polja.

Keywords

topološki defekti;Napolijevo polje;tekoči kristali;mehka snov;nematične lupine;koloidni delci;magistrska dela;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [L. Mesarec]
UDC: 532.783(043.2)
COBISS: 20051720 Link will open in a new window
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Downloads: 167
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Other data

Secondary language: English
Secondary title: Topological defects in nematic shells
Secondary abstract: Liquid crystals offer several visual representations of the underlining geometric rules. In thesis, we study topological defects in nematic shells, within a two-dimensional Landau-de Gennes tensorial formalism. Nematic shells are colloidal particles, coated with a thin sheet of nematic liquid crystal. For a special case of axis-symmetric shells, we derive the Euler-Lagrange equations for the free-energy functional. We solve Euler-Lagrange equation numerically. We present, how different combinations of elastic constants, influences on topological defect configurations for different ellipsoids. Our main focus is the influence of the term proposed by Napoli.
Secondary keywords: topological defects;Napoli field;nematic shells;liquid crystals;soft matter;colloidal particles;master theses;
URN: URN:SI:UM:
Type (COBISS): Master's thesis/paper
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za fiziko
Pages: 41 f.
ID: 8727108