Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics
arXiv:1206.1910 · doi:10.1103/PhysRevE.86.025301
Abstract
We show that multiscaling properties of developed turbulence in shell models, which lead to anomalous scaling exponents in the inertial range, are determined exclusively by instanton dynamics. Instantons represent correlated extreme events localized in space-time, whose structure is described by self-similar statistics with a single universal scaling exponent. We show that anomalous scaling exponents appear due to the process of instanton creation. A simplified model of instanton creation is suggested, which adequately describes this anomaly.
arXiv comment4 pages, 5 figures
References in corpus (11)
- Particles and fields in fluid turbulence
- An optimal shell model of turbulence
- An improved $\eps$ expansion for three-dimensional turbulence: two-loop renormalization near two dimensions
- Outliers, Extreme Events and Multiscaling
- Analytic Calculation of the Anomalous Exponents in Turbulence: Using the Fusion Rules to Flush Out a Small Parameter
- Computing the Scaling Exponents in Fluid Turbulence from First Principles: the Formal Setup
- On the Anomalous Scaling Exponents in Nonlinear Models of Turbulence
- Renormalization and universality of blowup in hydrodynamic flows
- Instanton Calculus in Shell Models of Turbulence
- Towards a two-fluid picture of intermittency in shell models of turbulence
- Intermittency in Turbulence: computing the scaling exponents in shell models
Cited by in corpus (7)
- Development of high vorticity structures in incompressible 3D Euler equations
- Spontaneous stochasticity of velocity in turbulence models
- Blowup as a driving mechanism of turbulence in shell models
- Continuous representation for shell models of turbulence
- Bifurcations of blowup in inviscid shell models of convective turbulence
- Dynamical Complex Network Models of the Turbulent Cascade
- Nonlinear phase synchronization and the role of spacing in shell models