Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants
Аннотация:
We calculate renormalization-group functions in the developed turbulence model for infinite dimensional space d → ∞ using an operating method without renormalization constants. The renormalization fixed point and index ω, obtained within the considered three loop approximation, are in agreement with previous calculations. The results demonstrate the efficiency of the method and the possibility of its complete automation, which is crucially important in higher order perturbation theory computations.
Ключевые слова:
Постоянный URL
Статьи в номере
- The study of the local director orientation in chiral liquid crystals
- Evolution of size and composition of a multicomponent gas bubble in liquid solution
- The interaction of polarization charges in freely suspended smectic-C* films
- Exact classical stochastic representations of the many-body quantum dynamics
- Entropic sampling of star-shaped polymers with different number of arms: temperature dependencies of structural properties
- Boundary effect on multiple scattering of elastic waves in a half-space
- On construction of evolutionary operator for rectangular linear optical multiport
- Estimation of the contact area of solids by electrothermal analogy
- The kinetics of formation and morphological memory of polymeric nanostructures
- Stimulated emission of an atomic system under coherent excitation
- Dielectric relaxation of fulleroid materials filled PA6 composites and the study of its mechanical performance
- Structural hierarchy of NH4V3O7 particles prepared under hydrothermal conditions
- Nanodisperse oxide compounds of iron formed in the FeSO4 – KOH – H2O – H2O2 system (4.0 ≤ pH ≤ 13.0)