Phase transitions in relaxational systems with field-dependent coefficients

摘要

We present a comprehensive study of phase transitions in single-field extended systems that relax to a non-equilibrium global steady state. The mechanism we focus on is not the so-called Stratonovich drift but is instead similar to the one associated with noise-induced transitions o la Horsthemke-Lefever in zero-dimensional systems. As a consequence, the noise interpretation (e.g., Ito vs Stratonovich) merely shifts the phase boundaries. With the help of a mean-field approximation, we present a broad qualitative picture of the various phase diagrams that can be found in these systems.