Simulacija holesterika v vijačno simetrični ograditvi
ID Marinko, Peter (Avtor), ID Čopar, Simon (Mentor) Več o mentorju...

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Izvleček
V magistrskem delu numerično modeliramo dvojno vijačno strukturo v vijačno sime- trični ograditvi, ki je bila nedavno eksperimentalno opažena. Zaradi vijačne simetrije tri-dimenzionalni problem omejimo na dve dimenziji. Prosto energijo zapišemo po Landau-de Gennes modelu in jo diskretiziramo po metodi končnih diferenc, mini- miziramo pa z metodo gradientnega spusta. Metodo nato testiramo na fizikalno relevantnem primeru z domeno s koncentričnim in nekoncentričnim krogom. Dvojno vijačno strukturo modeliramo na domeni v obliki prirejene nefroide. Rezultat je dvojni zvoj z istima ročnostima in lokalizirana defektna območja v konicah nefroide, kar v treh dimenzijah pomeni dve linijski zviti disklinaciji.

Jezik: Slovenski jezik Landau-de Gennes prosta energija, holesterični tekoči kristal, topološki defekti, dvojni zvoj, zvita disklinacija Magistrsko delo/naloga 2.09 - Magistrsko delo FMF - Fakulteta za matematiko in fiziko 2022 20.500.12556/RUL-139561 120454915 04.09.2022 548 59 Kopiraj citat

## Sekundarni jezik

Jezik: Angleški jezik Simulation of a cholesteric in a helically symmetric confinement We numerically model a doubly helical structure in a helically symmetric confinement, which was recently experimentally observed. Due to helical symmetry we are able to reduce the three-dimensional problem to two dimensions. Free energy is expanded according to the Landau-de Gennes model and is discretized by the method of finite differences. Minimization is done with gradient descent. We test the method on physically relevant example of concentric and non-concentric domain. The doubly helical structure is modelled on a adapted nephroid domain. The result is a double twist director structure with the same sign and two localized defects in the two trenches of the nephroid. We observe two twist disclinations Landau-de Gennes free energy, cholesteric liquid crystal, topological defects, double twist, twist disclination

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