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Statistically Preserved Structures and Anomalous Scaling in Turbulent Active Scalar Advection
Emily S. C. Ching, Yoram Cohen, Thomas Gilbert +1
The anomalous scaling of correlation functions in the turbulent statistics of active scalars (like temperature in turbulent convection) is understood in terms of an auxiliary passi…
Transition in the Fractal Properties from Diffusion Limited Aggregation to Laplacian Growth via their Generalization
H. George E. Hentschel, Anders Levermann, Itamar Procaccia
We study the fractal and multifractal properties (i.e. the generalized dimensions of the harmonic measure) of a 2-parameter family of growth patterns that result from a growth mode…
Multifractal Structure of the Harmonic Measure of Diffusion Limited Aggregates
Mogens H. Jensen, Anders Levermann, Joachim Mathiesen +1
The method of iterated conformal maps allows to study the harmonic measure of Diffusion Limited Aggregates with unprecedented accuracy. We employ this method to explore the multifr…
Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps
Felipe Barra, H. George E. Hentschel, Anders Levermann +1
We study the geometrical characteristic of quasi-static fractures in disordered media, using iterated conformal maps to determine the evolution of the fracture pattern. This method…
Statistically Preserved Structures in Shell Models of Passive Scalar Advection
Yoram Cohen, Thomas Gilbert, Itamar Procaccia
It was conjectured recently that Statiscally Preserved Structures underlie the statistical physics of turbulent transport processes. We analyze here in detail the time-dependent (n…
Retardation of the onset of yurbulence by minor viscosity contrasts
Rama Govindarajan, Victor S. L'vov, Itamar Procaccia
Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of minor viscosity contrasts on the stability of hydrodynamic fl…