- Prof. Fred Adams, Department of Physics, University of Michigan
- Wednesday, Sept. 29. 4-5 p.m.
- EH 3866
The study of large scale structure in our universe shows that dark matter halos approach a nearly universal form. The density distributions of these halos exhibit triaxial structure, and can be described using triaxial potentials. The orbits in these potential are subject to a strong instability, wherein orbits that begin in any of the principal planes are unstable to motion in the perpendicular direction. The development of this instability is described by Hill’s equation, where the parameters of the differential equation are not constant, but rather vary from cycle to cycle. We show that the solutions to this problem can be reduced to the multiplication of random matrices of a particular form, and we find the corresponding growth rates.