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SUMMARY:Rolls\, Squares and Hexagons: pattern formation through instabilit
 ies - Prof. Michael Proctor (DAMTP)
DTSTART:20181119T203000Z
DTEND:20181119T213000Z
UID:TALK114229@talks.cam.ac.uk
CONTACT:73969
DESCRIPTION:It is an experimental fact that when an extended system in a s
 imple amorphous state becomes unstable\, the new realised state is typical
 ly one exhibiting a pattern. It can be shown even for very complicated phy
 sical systems that the dynamical processes near the point in parameter spa
 ce where stability is lost can be represented by a small number of ordinar
 y differential equations. The form of these equations\, and the interactio
 ns of any possible patterns that can result from the instability\, is stro
 ngly influenced\, and in many cases determined\, by the symmetries of the 
 system being studied. One the symmetry group is known\, the different patt
 erns can be identified with different representations of the group. I will
  discuss a number of examples of varying complexity.
LOCATION:Winstanley Lecture Theatre\, Trinity College
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