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Intrinsic noise-induced phase transitions: Beyond the noise interpretation
Carrillo, O.; Ibañes Miguez, Marta; García Ojalvo, Jordi; Casademunt i Viader, Jaume; Sancho, José M.
Universitat de Barcelona
We discuss intrinsic noise effects in stochastic multiplicative-noise partial differential equations, which are qualitatively independent of the noise interpretation (Itô vs Stratonovich), in particular in the context of noise-induced ordering phase transitions. We study a model which, contrary to all cases known so far, exhibits such ordering transitions when the noise is interpreted not only according to Stratonovich, but also to Itô. The main feature of this model is the absence of a linear instability at the transition point. The dynamical properties of the resulting noise-induced growth processes are studied and compared in the two interpretations and with a reference Ginzburg-Landau-type model. A detailed discussion of a different numerical algorithm valid for both interpretations is also presented.
Física estadística
Sistemes dinàmics diferenciables
Equacions d'estat
Transformacions de fase (Física estadística)
Statistical physics
Differentiable dynamical systems
Equations of state
Phase transformations (Statistical physics)
(c) The American Physical Society, 2003
The American Physical Society

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