GIOVEDI' 26 APRILE 2012
15:00-17:00, Sala Riunioni (Dip. Matematica)
SEMINARIO
Current reservoirs in the simple exclusion process aula riunioni, dipartimento di matematicaD. Tsagkarogiannis (Bonn Universitaet)
Stationary non equilibrium states are characterized by the presence of
steady currents flowing through the system and a basic question in
statistical mechanics is to understand their structure. In this
respect, in collaboration with A. De Masi, E. Presutti and M. E. Vares
we have studied such a case for a model which simulates mass transport
with current reservoirs at the boundaries. The model consists of a
symmetric simple exclusion process in the interval [-N,N] with
additional birth (death) processes close to the right (left) part of
the boundary. Properly speeding exclusion and the birth and death
processes, we prove (in the limit as N tends to infinity) propagation
of chaos and convergence to the linear heat equation with Dirichlet
condition on the boundaries; the boundary conditions are obtained by
solving a non linear equation. Fourier law is proved to hold and we
also study the stationary measure density profile.