Physics 313: Lecture 12
Wednesday, 10/01/08
Comments
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You should be reading Chapter 5, on
“Model Equations”.
This week's Physics colloquium, on
Wednesday 10/1 at 3:30pm, by Professor
Reka Alberts is on network theory and
systems biology by one of the pioneers of
network physics. Please try to attend if you
can.
Stripes Can Be Unstable to Multiple
Instabilities
Bifurcation Diagram for Type Is Pattern
Elementary Codiimension-1 Bifurcations
At Blackboard: Sketch of How Zigzag
Instability is Calculated Near Onset
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Near enough to onset, can use one-mode
approximation for base state.
Near enough to onset, can use another one-mode
approximation for the periodic part of the Bloch
state.
If base state has symmetry, can assume different
symmetries of periodic part of Block state.
Substitute into linear evolution equation for
infinitesimal perturbation about the base state.