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Article

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Published version

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2003

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18756

Intrinsic noise-induced phase transitions: Beyond the noise interpretation

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http://dx.doi.org/10.1103/PhysRevE.67.046110

Abstract

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.

Subject

Física estadística, Termodinàmica, Sistemes dinàmics diferenciables, Equacions d'estat, Transformacions de fase (Física estadística)

Subject (English)

Statistical physics, Thermodynamics, Differentiable dynamical systems, Equations of state, Phase transformations (Statistical physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

CARRILLO, O., et al. Intrinsic noise-induced phase transitions: Beyond the noise interpretation. Physical Review E. 2003. Vol. 67, num. 046110(1)-046110(9). [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/18756

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