Intrinsic noise-induced phase transitions: beyond the noise interpretation
arXiv:cond-mat/0302264 · doi: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 (Ito 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 Ito. 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 new numerical algorithms used in both interpretations is also presented.
arXiv comment9 pages, 8 figures, to be published in Phys. Rev. E
References in corpus (7)
- Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics
- Noise-Driven Mechanism for Pattern Formation
- Noise induced transition from an absorbing phase to a regime of stochastic spatiotemporal intermittency
- Recent results on multiplicative noise
- External fluctuations in front dynamics with inertia: The overdamped limit
- Dynamics and Scaling of Noise-Induced Domain Growth
- Kinematic reduction of reaction-diffusion fronts with multiplicative noise: Derivation of stochastic sharp-interface equations
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