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Journal Article

Non-Gaussianity and intermittency in an ensemble of Gaussian fields.


Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Wilczek, M. (2016). Non-Gaussianity and intermittency in an ensemble of Gaussian fields. New Journal of Physics, 18(12): 125009. doi:10.1088/1367-2630/18/12/125009.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-5875-E
Motivated by the need to capture statistical properties of turbulent systems in simple, analytically tractable models, an ensemble of Gaussian sub-ensembles with varying properties of the correlation function such as variance and length scale is investigated. The ensemble statistics naturally exhibit non-Gaussianity and intermittency. Due to the simplicity of Gaussian random fields, many explicit results can be obtained analytically, revealing the origin of non-Gaussianity in this framework. Potential applications of the proposed model ensemble for the description of non-equilibrium statistical mechanics of complex turbulent systems are briefly discussed.