Mini Course 1 - Timo Seppäläinen (Wisconsin)
Fluctuations for Particle Systems in One Dimension
These lectures investigate fluctuations of particle current
in particle systems in one dimension
that are asymmetric in the sense that the particles have
an average drift in a particular direction. Two broad classes
of systems with qualitatively distinct behavior are
those with linear and those with
strictly convex or concave flux functions.
The flux function
gives the average rate at which particle
mass moves past a fixed location in space,
as a function of average particle density.
Examples with linear flux
discussed in these lectures
include independent walks (also in a random
environment) and the random average process.
Basic examples with concave flux include
the asymmetric simple exclusion process and
certain zero range processes.
to download the notes.
NUMEC - USP, São Paulo, Brasil, 2009 - Designer: Sara Müller