# A note on Fick's law with phase transitions

## TL;DR

This paper studies non-equilibrium stationary states in systems with phase transitions, showing that the interface between phases becomes a plane in the limit, providing insights into phase boundary behavior.

## Contribution

It introduces a characterization of stationary states with phase transitions and proves the planar nature of interfaces in the limit, advancing understanding of phase boundary dynamics.

## Key findings

- Interface in the limit is a plane separating two phases
- Characterization of non-equilibrium stationary states with phase transitions
- Provides theoretical proof of phase boundary behavior

## Abstract

We characterize the non equilibrium stationary states in two classes of systems where phase transitions are present. We prove that the interface in the limit is a plane which separates the two phases.