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Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 47: Statistical Physics: General I

DY 47.3: Vortrag

Donnerstag, 12. März 2026, 10:00–10:15, ZEU/0114

Quasicrystals with large rotational symmetries: Amorphous-like on small but ordered at large lengths scaleAlan Rodrigo Mendoza Sosa1,2, Atahualpa S. Kraemer1, Erdal C. Oğuz2, and •Michael Schmiedeberg31Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Mexico City, Mexico — 2Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China — 3Soft Matter Theory group, Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany

We study hyperuniformity in quasicrystals with large rotational symmetry. Hyperuniform systems are characterized by anomalously suppressed long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in ordinary gases and fluids as well as in amorphous solids. We show that the degree to which the large-scale fluctuations are suppressed reveals a new characteristic length-scale. Below this length the patterns behave like amorphous systems while only above this length the long-ranged order becomes important leading to hyperuniformity in all cases.

Keywords: hyperuniformity; quasicrystal; aperiodic order; amorphous structure

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