Nonequilibrium Steady States of Certain Particle Systems<br/><br/>

Friday, October 31, 2014 - 4:00pm - 5:00pm
Keller 3-180
Lai-Sang Young (New York University)
This talk is about a class of particle systems in which energy
exchange among particles is mediated by the environment,
symbolized by a lattice of rotating disks in mechanical models
and energy tanks in stochastic versions of these models.
A number of years ago, J-P Eckmann and I studied models of
this type. Taking for granted mathematical issues such as
existence and uniqueness of NESS, local thermal equilibria etc.,
we derived formulas for energy and particle density profiles
for chains coupled to unequal heat baths, and demonstrated
agreement with numerical simulations. I have since revisited
the analytical issues set aside in this earlier work, and have
obtained partial resolution for certain stochastic models. In
this talk, I will review earlier work and report on recent results.
MSC Code: