Cao García, Francisco JavierWood, KevinLindenberg, Katja2024-05-302024-05-302007-11-12Cao, F. J., Wood, K., & Lindenberg, K. (2007). Noise-induced phase transitions in field-dependent relaxational dynamics: The Gaussian ansatz. Physical Review E, 76(5), 051111.10.1103/PhysRevE.76.051111https://hdl.handle.net/20.500.14352/104568We present an analytic mean-field theory for relaxational dynamics in spatially extended systems that undergo purely noise-induced phase transitions to ordered states. The theory augments the usual mean-field approach with a Gaussian ansatz that yields quantitatively accurate results for strong coupling. We obtain analytic results not only for steady-state mean fields and distribution widths, but also for the dynamical approach to a steady state or to collective oscillatory behaviors in multifield systems. Because the theory yields dynamical information, it can also predict the initial-condition-dependent final state (disordered state, steady or oscillatory ordered state) in multistable arrays.engjournal articlehttps://doi.org/10.1103/PhysRevE.76.051111https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.051111open access536Termodinámica2213 Termodinámica