Speaker
Vivien Lecomte
(Université Paris Diderot)
Description
Interacting classical particles diffusing in 1d have
provided in recent years an interesting playground to study
non-equilibrium. The dynamics of these models is described
by an evolution operator, which can be written as a spin
chain Hamiltonian H. One is interested in the steady state
properties and in the probability that the system presents
an atypical current flow. These are described by large
deviation functions (ldf).
Finding the ldf amounts to determining the ground state of H
-- a correspondence which provides an interesting bridge
between classical and quantum problems. I will present
different methods (Bethe Ansatz, fluctuating hydrodynamics)
used to compute the ldf and to characterize its
singularities -- which correspond to dynamical phase
transitions. Some class of systems also present an
intriguing duality between non-equilibrium and equilibrium,
that enlight for instance the existence of long-range
correlations induced by e.g. contact with reservoirs of
different chemical potential.
Primary author
Vivien Lecomte
(Université Paris Diderot)
