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oai:docta.ucm.es:20.500.14352/1045682024-05-31T00:11:24Zcom_20.500.14352_14col_20.500.14352_15

Noise-induced phase transitions in field-dependent relaxational dynamics: The Gaussian ansatz Cao García, Francisco Javier Wood, Kevin Lindenberg, Katja 536 Termodinámica 2213 Termodinámica We 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. National Science Foundation Ministerio de Educación y Ciencia (España) Universidad Complutense de Madrid University of California San Diego Depto. de Estructura de la Materia, Física Térmica y Electrónica Fac. de Ciencias Físicas TRUE pub 2024-05-30T08:03:11Z 2024-05-30T08:03:11Z 2007-11-12 journal article VoR https://hdl.handle.net/20.500.14352/104568 XXXX-XXXX 10.1103/PhysRevE.76.051111 eng PHY-0354937 info:eu-repo/grantAgreement/MEC//FIS2006-05895/ES/DINAMICA FUERA DEL EQUILIBRIO/ FIS2005-24376-E BFM2003- 02547/FISI Cao, 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. open access application/pdf American Physical Society