We introduce a class of one-dimensional deterministic models of energy–volume conserving
interfaces. Numerical simulations show that these dynamics are genuinely super-diffusive …

We study the probability of arbitrary density profiles in conserving diffusive fields which are
driven by the boundaries. We demonstrate the existence of singularities in the large …

In this paper we present a self-contained macroscopic description of diffusive systems
interacting with boundary reservoirs and under the action of external fields. The approach is …

We consider a general class of nonlinear diffusive models with bulk dissipation and
boundary driving and derive its hydrodynamic description in the large size limit. Both the …

We consider macroscopic systems in mild contact with boundary reservoirs and under the
action of external fields. We present an explicit formula for the Hamiltonian of such systems …

For diffusive systems that can be described by fluctuating hydrodynamics and by the
Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display …

We show global well-posedness and exponential stability of equilibria for a general class of
nonlinear dissipative bulk-interface systems. They correspond to thermodynamically …

Boundary driven diffusive systems describe a broad range of transport phenomena. We
study large deviations of the density profile in these systems, using numerical and analytical …

We consider a family of models having an arbitrary positive amount of mass on each site
and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We …

We discuss geometric formulations of hydrodynamic limits in diffusive systems. Specifically,
we describe a geometrical construction in the space of density profiles—the Wasserstein …