Renormalized prediction

In contradiction to this, the method of direct renormalization predicts the swelling of the internal parts of a macromolecular chain to be more intensive. It affects the expression for the radius of gyration which is more sensitive to the internal part of coil than is (h ). 

An appropriate model of the Reynolds stress tensor is vital for an accurate prediction of the fluid flow in cyclones, and this also affects the particle flow simulations. This is because the highly rotating fluid flow produces a. strong nonisotropy in the turbulent structure that causes some of the most popular turbulence models, such as the standard k-e turbulence model, to produce inaccurate predictions of the fluid flow. The Reynolds stress models (RSMs) perform much better, but one of the major drawbacks of these methods is their very complex formulation, which often makes it difficult to both implement the method and obtain convergence. The renormalization group (RNG) turbulence model has been employed by some researchers for the fluid flow in cyclones, and some reasonably good predictions have been obtained for the fluid flow. 

These data are ideal tests for renormalized ab initio methods. Perturbative propagator methods have yielded poor agreement with experiment for F and OH [40]. For example, OVGF predictions for F and OH with a polarized, triple C basis augmented with diffuse functions are 5.00 and 2.86 eV, respectively. 

This is in agreement with the Manning-Mohanty prediction [40, 54], At high salt concentration, asymptotic analysis leads to charge renormalization that vanishes as [54]... 

The role of undulation on the equilibrium of lipid bilayers was also examined by Lipowsky and Leibler,18 who used a nonlinear functional renormalization group approach, and by Sornette,14 who employed a linear functional renormalization approach. It was theoretically predicted that a critical unbinding transition (corresponding to a transition from a finite to an infinite swelling) can occur by varying either the temperature or the Hamaker constant. However, the renormalization group procedures do not offer quantitative information about the systems, when they are not in the close vicinity of this critical point. 

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