RT Journal Article
T1 Noise-induced phase transitions in field-dependent relaxational dynamics: The Gaussian ansatz
A1 Cao García, Francisco Javier
A1 Wood, Kevin
A1 Lindenberg, Katja
AB 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.
PB American Physical Society
YR 2007
FD 2007-11-12
LK https://hdl.handle.net/20.500.14352/104568
UL https://hdl.handle.net/20.500.14352/104568
LA eng
NO 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.
NO National Science Foundation
NO Ministerio de Educación y Ciencia (España)
NO Universidad Complutense de Madrid
NO University of California San Diego
DS Docta Complutense
RD 8 jun 2025