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The PDFs for energy dissipation rates created in a high resolution from$4096^3$ DNS for fully developed turbulence are analyzed in a high precisionwith the PDF derived within the formula of multifractal probability densityfunction theory (MPDFT). MPDFT is a statistical mechanical ensemble theoryconstructed in order to analyze intermittent phenomena through the experimentalPDFs with fat-tail. By making use of the obtained w-PDFs created from the wholeof the DNS region, analyzed for the first time are the two partial PDFs, i.e.,the max-PDF and the min-PDF which are, respectively, taken out from the partialDNS regions of the size $512^3$ with maximum and minimum enstropy. The maininformation for the partial PDFs are the following. One can find a w-PDF whosetail part can adjust the slope of the tail-part of a max-PDF with appropriatemagnification factor. The value of the point at which the w-PDF multiplied bythe magnification factor starts to overlap the tail part of the max-PDFcoincides with the value of the connection point for the theoretical w-PDF. Thecenter part of the min-PDFs can be adjusted quite accurately by the scaledw-PDFs with a common scale factor.

Towards a separation of the elements in turbulence via the analyses within MPDFT