Universiteit Leiden

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This Week’s Discoveries | 11 December 2018

  • Priya Subramanian
11 December 2018
Niels Bohrweg 2
2333 CA Leiden
The Sitterzaal

Lecture, Lorentz Center highlight

Quasicrystals: Minimal recipes to make them and tools to catalog them

Priya Subramanian (University of Leeds) is a research fellow in the School of Mathematics at the University of Leeds, UK. Her research interests are: Pattern Formation, Nonlinear Dynamics and Spatio-temporal Chaos. She is a participant in the workshop Machine Learning and Reverse Engineering for Soft Materials that is being held in the Lorentz Center from 10 Dec through 14 Dec 2018.

Regular patterns (made of tiles) and crystals (made of either atoms/molecules) surround us in everyday life. These patterns look the same when moved by one unit (translational symmetry) or rotated by certain special angles (rotational symmetry). Such repeating arrangements are prevalent in nature as lesser amount of energy is required to assemble them. Aperiodic patterns or quasicrystals are special as they possess long range order without translational symmetry. Quasicrystals have recently been observed in a variety of systems such as nanoparticles, metallic alloys and polymer solutions. This implies that under suitable conditions, quasicrystals require lesser energy to assemble than regular patterns. Considering the difference in scale between metallic and polymeric quasicrystals, there is a need for mathematical models which explore the unifying mechanisms that generate quasicrystals both on surfaces and in bulk. This talk will explore minimal models to understand the formation of quasicrystals both in 2D and 3D, along with tools to catalog the different quasicrystalline structures.

Read more about the lecture series This Week's Discoveries

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