Scalar intermittency and the ground state of periodic Schrödinger equations

DOI10.1063/1.869161zbMath1185.76678OpenAlexW2042957355WikidataQ107199778 ScholiaQ107199778MaRDI QIDQ5755642

Richard M. McLaughlin, Jared C. Bronski

Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4248473740d16cc9d1311952249a4111620e1173

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (12)

Non-Gaussian invariant measures for the Majda model of decaying turbulent transport ⋮ Dynamics of probability density functions for decaying passive scalars in periodic velocity fields ⋮ Ergodicity and invariant measures for a diffusing passive scalar advected by a random channel shear flow and the connection between the Kraichnan-Majda model and Taylor-Aris dispersion ⋮ Correlation function of a random scalar field evolving with a rapidly fluctuating Gaussian process ⋮ On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states ⋮ An explicit family of probability measures for passive scalar diffusion in a random flow ⋮ Evolution of the probability measure for the Majda model: new invariant measures and breathing PDFs ⋮ Intermittency of passive-scalar decay: Strange eigenmodes in random shear flows ⋮ Intermittency in passive scalar decay ⋮ Analysis of a stratified Kraichnan flow ⋮ The problem of moments and the Majda model for scalar intermittency ⋮ Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels

Cites Work

• The least eigenvalue of Hill's equation
• The ground state energy of Schrödinger operators
• Phenomenological theory of probability distributions in turbulence
• Explicit inertial range renormalization theory in a model for turbulent diffusion
• Linear-eddy modelling of turbulent transport. Part 6. Microstructure of diffusive scalar mixing fields
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Mapping closure and non-Gaussianity of the scalar probability density functions in isotropic turbulence
• Spectral large-eddy simulation of isotropic and stably stratified turbulence
• The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions
• Statistics of an advected passive scalar
• An explicit example with non-Gaussian probability distribution for nontrivial scalar mean and fluctuation
• Scale dependence of the statistical character of turbulent fluctuations in thermal convection
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
• Small-Scale Structure of a Scalar Field Convected by Turbulence
• Stable hill equations

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