Non equilibrium steady state for a simple model of electric conduction

CDSNS Colloquium
Monday, December 3, 2012 - 16:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
A very simple model for electric conduction consists of N particles movingin a periodic array of scatterers under the influence of an electric field and of aGaussian thermostat that keeps their energy fixed. I will present analytic result for the behaviourof the steady state of the system at small electric field, where the velocity distribution becomesindependent of the geometry of the scatterers, and at large N, where the system can bedescribed by a linear Boltzmann type equation.