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

Abstract

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.

References in corpus (3)

• Noise-Driven Mechanism for Pattern Formation
• Intrinsic noise-induced phase transitions: beyond the noise interpretation
• Numerical Study of a Lyapunov Functional for the Complex Ginzburg-Landau Equation

Cited by in corpus (6)

• Properties of spatial arrangement of V-type defects in irradiated materials: 3D-modelling
• Entropy-driven phase transitions with influence of the field-dependent diffusion coefficient
• Noise-induce coexisting firing patterns in hybrid-synaptic interacting networks
• Mean-Field Theory of Meta-Learning
• The Order of Phase Transitions in Barrier Crossing
• Noise-induced phase transitions in field-dependent relaxational dynamics: The Gaussian ansatz