Exact two-point correlation functions of turbulence without pressure in three dimensions
نویسندگان
چکیده
منابع مشابه
Exact Two–Point Correlation Functions of Turbulence Without Pressure in Three–Dimensions
We investigate exact results of isotropic turbulence in three–dimensions when the pressure gradient is negligible. We derive exact two–point correlation functions of density in three-dimensions and show that the density–density correlator behaves as |x1 − x2|−α3 , where α3 = 2 + √ 33 6 . It is shown that, in three–dimensions, the energy spectrum E(k) in the inertial range scales with exponent 2...
متن کاملThe Exact Two–Point Correlation Functions of Forced Burgers Equation in Two and Three–Dimensions
We generelize the Polyakov’s approach for Burgers turbulence in higher dimensions. In this respect, we write the operator product expansion and find the exact two–point functions of the Burgers equation in two and three–dimensions. We show that the angular dependence of the correlation functions satisfy the same equation, which is found in the instanton approach. PACS numbers 47.27.AK, 47.27.Jv
متن کاملRelative Spectral Functions for Two Point Interactions in Three Dimensions
The regularized partition function at finite temperature for a massless scalar field interacting with two delta-like external potentials in R is evaluated in an explicit form making use of a rigorous approach based on the introduction of relative determinants associated with the presence of non compact manifold, as defined by Müller in [14], and on results of Albeverio et al. [1], dealing with ...
متن کاملLogarithmic Correlation Functions in Two Dimensional Turbulence
We consider the correlation functions of two-dimensional turbulence in the presence and absence of a three-dimensional perturbation, by means of conformal field theory. In the persence of three dimensional perturbation, we show that in the strong coupling limit of a small scale random force, there is some logarithmic factor in the correlation functions of velocity stream functions. We show that...
متن کاملExact multileg correlation functions for the dense phase of branching polymers in two dimensions.
We consider branching polymers on the planar square lattice with open boundary conditions and exactly calculate correlation functions of k polymer chains that connect two lattice sites with a large distance r apart for odd number of polymer chains k. We find that besides the standard power-law factor the leading term also has a logarithmic multiplier.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 1998
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00445-9