Scalings and
hydrodynamic limits for multi-type exclusion processes via functional
integration

Guy Fayolle

INRIA Paris-Rocquencourt

Many models of systems with discrete state space can be set in terms of
interacting exclusion processes with a Markovian dynamics (deformations
of curves,
reactions with regard to polymers or biology, etc). Then the interplay
between discrete
and continuous description is ubiquitous, and, as usual in statistical
physics, often
requires the derivation of hydrodynamic limits after convenient
scalings. In this
respect, starting from examples, a seemingly new approach is presented,
which relies on
variational calculus and functional integration.