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http://dx.doi.org/10.18419/opus-12491
Autor(en): | Holzwarth, Moritz |
Titel: | Thermodynamical stability analysis of a model quasicrystal |
Sonstige Titel: | Thermodynamische Stabilitätsuntersuchung an einem Modelquasikristall |
Erscheinungsdatum: | 2022 |
Dokumentart: | Abschlussarbeit (Master) |
Seiten: | 108 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-125106 http://elib.uni-stuttgart.de/handle/11682/12510 http://dx.doi.org/10.18419/opus-12491 |
Bemerkungen: | This work is an extension of the diploma thesis of Alexander Kiselev from 2011. |
Zusammenfassung: | The thermodynamical stability of a simple 2D model quasicrystal is analysed using the theory of the phason elastic free energy. Atoms in the crystal interact via a double-well potential called the Lennard-Jones Gauß-potenital. The essential mechanisms that support the quasicrystal's free energy are atom jumps called phasonic flips. The distribution of such flips in a crystal is computed in dependency of the crystal lattice, which is parameterized by a 2x2-matrix called the phasonic strain. This computation is fully analytic and is based on the popular cut-and-project-scheme for quasicrystals. The quasicrystal is found to be instable at low temperature but stabilized at high temperature due to large entropy. This is in accordance with an MD-simulation from 2008 that used the LJG-Interaction-potential for the first time. |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Masterarbeit_Moritz_Holzwarth.pdf | Masterarbeit | 24,1 MB | Adobe PDF | Öffnen/Anzeigen |
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