Rolls, Squares and Hexagons: pattern formation through instabilities

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• Prof. Michael Proctor (DAMTP)
• Monday 19 November 2018, 20:30-21:30
• Winstanley Lecture Theatre, Trinity College.

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It is an experimental fact that when an extended system in a simple amorphous state becomes unstable, the new realised state is typically one exhibiting a pattern. It can be shown even for very complicated physical systems that the dynamical processes near the point in parameter space where stability is lost can be represented by a small number of ordinary differential equations. The form of these equations, and the interactions of any possible patterns that can result from the instability, is strongly influenced, and in many cases determined, by the symmetries of the system being studied. One the symmetry group is known, the different patterns can be identified with different representations of the group. I will discuss a number of examples of varying complexity.

This talk is part of the Trinity Mathematical Society series.

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• Guy Emerson's list
• Trinity Mathematical Society
• Winstanley Lecture Theatre, Trinity College
• bld31

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