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SUMMARY:Quasicrystals with hexagonal symmetry and other patterns in soft-m
 atter - Andy Archer (Loughborough University London)
DTSTART:20240123T130000Z
DTEND:20240123T140000Z
UID:TALK209734@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:\nFor soft-matter to form quasicrystals\, an important ingredi
 ent is to have two characteristic length scales in the interparticle inter
 actions. To be more precise\, for stable quasicrystals\, periodic modulati
 ons of the local density distribution with two particular wave numbers sho
 uld be favoured\, and the ratio of these wave numbers should be close to c
 ertain special values. In simple model systems\, only these two wave numbe
 rs are needed. However\, for more realistic models\, where in principle al
 l wave numbers can be involved\, other wave numbers are also important\, s
 pecifically those of the second and higher reciprocal lattice vectors. We 
 identify features in the particle pair interaction potentials that can sup
 press or encourage density modes with wave numbers associated with one of 
 the regular crystalline orderings that compete with quasicrystals\, enabli
 ng either the enhancement or suppression of quasicrystals in a generic cla
 ss of systems. Our strategy for finding quasicrystals involves tuning loca
 tions of maxima in the dispersion relation\, or equivalently in the liquid
  state partial static structure factors. We also extend our approach to ob
 tain some other quasicrystals\, including the bronze mean structure\, havi
 ng a hexagonal symmetry and a new related quasicrystal. I will finish with
  a discussion of recent related work investigating one-component systems o
 f core-shell particles that for some parameter values exhibit phase diagra
 ms with 20+ different patterned phases.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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