L. Bertini, S. Brassesco, P. Butta', E. Presutti
Front fluctuations in one dimensional stochastic phase field equations
(602K, PostScript file)

ABSTRACT.  We consider a conservative system of stochastic PDE's, namely a 
weakly coupled, one dimensional phase field model with additive 
noise. We study the fluctuations of the front proving that, in 
a suitable scaling limit, the front evolves according to a non 
Markov process, solution of a linear stochastic equation with 
long memory drift.