Cascade phenomenology

p-model

We can construct a field from the -model ([Meneveau, C., and Sreenivasan, K. R, 1987][1]) by starting with structure of length and intensity equal to . Then we divide this structure into two sub-structures of length and assign them an intensity of and with .

One-dimensional version of a cascade p-model [Meneveau et al, 1987]InformationInformation[2]

Where and are the distribution of a multiplier for the structure 1 and 2 respectively.

The most important difference between the - model and the -model, is in the largest events that they can generate. We showed in the -model, one can found a singularities . However, for -model, the requirement that the multipliers are implies an upper limit .

  1. [Meneveau, C., and Sreenivasan, K. R, 1987]

    Meneveau, C., & Sreenivasan, K. R. (1987). Simple multifractal cascade model for fully developed turbulence. Physical review letters, 59(13), 1424.

  2. Meneveau, C., & Sreenivasan, K. R. (1987). Simple multifractal cascade model for fully developed turbulence. Physical review letters, 59(13), 1424.

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