Abstract
We describe nonequilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spatial coupling we observe transitions to ferromagnetic or antiferromagnetic ordered states. We discuss the phase diagram, the order of the transitions, and the critical behavior. For global coupling we show analytically that the critical exponent of the magnetization exhibits a transition from the value to a nonuniversal behavior depending on the ratio of noise strength to the magnitude of the spatial coupling.
- Received 23 August 2001
DOI:https://doi.org/10.1103/PhysRevE.65.046110
©2002 American Physical Society