Aperiodic pattern formation

Priya Submarian, University of Leeds. Part of the algebra seminar series.

Patterns (made with tiles) and crystals (made up of atoms or molecules) are typically periodic like a sheet of graph paper. They have both rotational and translational symmetries and display a discrete Fourier spectra. Among all possible arrangements, such regular arrangements occur in nature because they require the least amount of energy to assemble them. In fact we’ve only known that non-periodic crystals, which creates never-repeating patterns, can exist in crystals for a couple of decades. Such quasicrystals lack the translational symmetries of regular crystals, yet also display discrete spatial Fourier spectra. More recently such aperiodic quasipatterns have been observed in soft matter systems such as polymers. We develop a phase field crystal model to analyze the characteristics that promote the formation of quasicrystals both on surfaces (2D) and in bulk (3D).

Priya Submarian, University of Leeds

After each talk at 4:15pm there will be tea/coffee in the Common Room at level 9 in Maths building. The current seminar organiser is Eleonore Faber.