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.
Front fluctuations in one dimensional stochastic phase field equations / BERTINI MALGARINI, Lorenzo; Stella, Brassesco; Butta', Paolo; Errico, Presutti. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - STAMPA. - 3:1(2002), pp. 29-86. [10.1007/s00023-002-8611-z]
Front fluctuations in one dimensional stochastic phase field equations
BERTINI MALGARINI, Lorenzo;BUTTA', Paolo;
2002
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.File allegati a questo prodotto
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