## UC Berkeley / Lawrence Berkeley Laboratory

#### Nonequilibrium steady states for certain Hamiltonian models

**Lai-Sang Young, Courant Institute**

##### January 27th, 2010 at 3PM–4PM in 939 Evans Hall [Map]

Nonequilibrium steady states for two classes of Hamiltonian models with
different flavors are discussed. Models in the first class have chaotic local
dynamics resulting from particle-disk interactions. An easy-to-compute
algorithm for macrocospic profiles such as energy and particle density is
proposed, and issues such as memory, finite-size effects and their relation to
geometry are discussed. Models in the second class have integrable dynamics.
When driven at the boundary, they become ergodic but continue to exhibit
anomolous behavior such as non-Gibbsian local distributions. Methodology used
includes a mixture of numerics/heuristics and proofs. The results are from
joint works with J-P Eckmann, P Balint and K Lin.