C. Vandenbroeck et al., MEAN-FIELD MODEL FOR SPATIALLY EXTENDED SYSTEMS IN THE PRESENCE OF MULTIPLICATIVE NOISE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2639-2643
We present a mean field model that describes the effect of multiplicat
ive noise in spatially extended systems. The model can be solved analy
tically. For the case of the phi4 potential it predicts that the phase
transition is shifted. This conclusion is supported by numerical simu
lations of this model in two dimension.