New relations for correlation functions in Navier–Stokes turbulence
نویسندگان
چکیده
منابع مشابه
Logarithmic Correlation Functions in Two Dimensional Turbulence
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l . I n t r o d u c t i o n It is now well-known [ 1,2] that the correlation length of the Ising model in two dimensions is precisely the surface tension of the dual lattice. It is also known by folklore (see, for example, Ref. [3] ) that a similar duality exists for the Potts model [4] . However, detailed discussion of the correlation duality for the Potts model has yet to appear in the litera...
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Duality relations are obtained for correlation functions of the q-state Potts model on any planar lattice or graph using a simple graphical analysis. For the two-point correlation we show that the correlation length is precisely the surface tension of the dual model, generalizing a result known to hold for the Ising model. For the three-point correlation an explicit expression is obtained relat...
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In a recent paper by Wu [1] the three-point correlation of the q-state Potts model on a planar graph was related to ratios of dual partition functions under fixed boundary conditions. It was claimed that the method employed could straightforwardly be applied to higher correlations as well; this is however not true. By explicitly considering the four-point correlation we demonstrate how the appe...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2010
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112009993429