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by Lorenzo Bertini, Stella Brassesco, Errico Presutti
http://www.ma.utexas.edu/mp_arc/e/01-1.ps
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Abstract:
We consider a conservative system of stochastic PDE's, namely a weakly coupled, one dimensional phase eld model with additive noise. We study the
uctuations 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. 1991 Mathematics Subject Classication. Primary 60H15, 60K35; secondary 82C24. Key words and phrases. Stochastic PDEs, Interface dynamics, Invariance principle. L.B. is partially supported by Conanziamento MURST 1999. S.B. is partially supported by agreement CONICIT{CNR, and Proyecto F{97 000004 (CONICIT).
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