Comprehensive study of phase transitions in relaxational systems with field-dependent coefficients

Details Comprehensive study of phase transitions in relaxational systems with field-dependent coefficients Comprehensive study of phase transitions in relaxational systems with field-dependent coefficients

2003-09-05

arxiv.org/abs/cond-mat/0309148v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.69.011102

We present a comprehensive study of phase transitions in single-field systems that relax to a non-equilibrium global steady state. The mechanism we focus on is not the so-called Stratonovich drift combined with collective effects, but is instead similar to the one associated with noise-induced transitions a la Horsthemke-Lefever in zero-dimensional systems. As a consequence, the noise interpretation (e.g., Ito vs Stratonvich) 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. To complement the theoretical analysis we present numerical simulations that confirm the findings of the mean-field theory.

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