S. Kim et al., NOISE-INDUCED PHASE-TRANSITION IN SOFT ISING SPINS WITH A FLUCTUATINGINTERACTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 3850-3853
We investigate noise-induced phase transitions in soft Ising spins, wh
ich have continuous values, with a fluctuating interaction within the
framework of the mean-field scheme. The fluctuating interaction provid
es an effective ferromagnetic coupling, leading to a ferromagnetic ord
er. The interplay of the fluctuating interaction and an additive noise
leads to a reentrant transition, triple transitions, and a softening
of the order parameter, presenting a weak order in the ordered phase.
In the limit of Ising spins the fluctuating interaction renormalizes t
he mean field, reducing the critical intensity of the additive noise.