Complex/Dynamical Systems Seminar - Or Alus
| Event Description: Or Alus, Technion - Israel Institute of Technology, Haifa, Israel Diffusion,sticking, 鈥渦niversal exponents鈥 and statistical description of mixed Hamiltonian systems For most realistic Hamiltonian systems the phase space consist of both chaotic and regular orbits, mixed in a complex pattern in which islands of regular motion are surrounded by a chaotic sea. The Standard map is an example of such a system, where supperdiffusion appears due to sticking to accelerator mode islands.听 Though such sticking dynamics has been extensively studied, a full understanding depends on many fine details that typically are beyond experimental and numerical resolution. This calls for a statistical approach. For this purpose the distributions of scaling of fluxes through island chains were computed for the Henon map which serve as apporximation for the accelerator mode islands. The distributions of scaling of the islands鈥 area were computed as well. Together these are used to evaluate the exponent of the decay of the survival probability in a Markov model of the dynamics. Furthermore its relation to superdiffusion for the standard map is discussed. 听 |
| Location Information: 听听() 1111 Engineering DR 麻豆影院, CO Room:听226: Applied Math Conference Room |
| Contact Information: Name: Ian Cunningham Phone: 303-492-4668 Email: amassist@colorado.edu |