3 edition of **field theoretic renormalization group in fully developed turbulence** found in the catalog.

field theoretic renormalization group in fully developed turbulence

L. TНЎS AdzhemiНЎan

- 59 Want to read
- 4 Currently reading

Published
**1999**
by Gordon and Breach Science Publishers in Amsterdam, Netherlands
.

Written in English

- Renormalization group.,
- Turbulence.,
- Critical phenomena (Physics)

**Edition Notes**

Includes bibliographical references and index.

Statement | L. Ts. Adzhemyan, N.V. Antonov, and A.N. Vasiliev ; translated from the Russian by P. Millard. |

Contributions | Antonov, N. V., Vasilʹev, A. N. |

The Physical Object | |
---|---|

Pagination | vi, 202 p. ; |

Number of Pages | 202 |

ID Numbers | |

Open Library | OL18131555M |

ISBN 10 | 9056991450 |

Abstract. Abstract. The field theoretic renormalization group is applied to the stochastic Navier–Stokes equation with the stirring force correlator of the form k 4−d−2ε in the d-dimensional space, in connection with the problem of construction of the 1/d expansion for the fully developed fluid turbulence beyond the scope of the standard ε expansion. The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion Author: Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomáš Lučivjanský.

The renormalization group theory of fluid turbulence is developed from a statistical mechanical viewpoint using an exact expression for the functional probability distribution of the velocity field. The latter is similar in form to an equilibrium Gibbs distribution, and is derived by combining Lagrangian statistical mechanics with an Eulerian fluid by: Renormalization group methods were first developed for quantum field theo- ries. They were later applied to the theory of critical points in materials that undergo phase transitions (Ma, ). Predictions for the universal exponents characterizing the behavior of thermodynamic quantities near critical points are quite by:

1 Renormalization in Quantum Mechanics Ultraviolet divergences and the need for renormalization appear not only in ﬁeld theory, but also in simple quantum mechanical models. We will study these ﬁrst to understand these phenomena in a simpler setting, and hopefully dispell the air of mystery that often surrounds the subject of renormalization. 1. Inertial-range asymptotic behavior of fully developed turbulence is studied by means of the field theoretic renormalization group within the one-loop approximation. It is corroborated that regardless of the values of model parameters and initial data, the inertial-range behavior of the model is described by limiting case of vanishing.

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The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research. This book gives a detailed and comprehensive review of the results obtained using this theory over the past 20 : Hardcover. The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research.

This book gives a detailed and comprehensive review of the results obtained using this theory over the past 20 years. Chapter 8 introduces properly the core concepts of any book on the subject, namely the renormalization group and critical phenomena.

Once more, every technicalities are derived and no prior acquaintance to field theory is required (unlike in books like Itzykson & Drouffe two volumes).

The major techniques, such as dimensional regularization, Cited by: The Field Theoretic Renormalization Group in Fully Developed Turbulence. By L. ADZHEMYAN, N. ANTONOV & A. VASILIEV. Gordon & Breach, pp.

ISBN First the mean field theory of Landau will be described, and important questions defined. The renormalization group will be presented as an improvment to Landau’s theory.

The Curie point of a ferromagnet will be used as a specific example of a critical point. The field theoretic renormalization group is applied to the stochastic Navier–Stokes equation that describes fully developed fluid turbulence in d > 2 dimensions.

For the first time, the complete two-loop calculation of the renormalization constant, the β function, the fixed point and the ultraviolet correction exponent is by: Abstract: We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group.

In this approach, scaling properties are related to the fixed points of the renormalization group equations. Previous analysis of this model near the real-world space dimension 3 identified some scaling regime Cited by: 9.

Inertial-range asymptotic behavior of fully developed turbulence is studied by means of the field theoretic renormalization group within the one-loop approximation. It is corroborated that regardless of the values of model parameters and initial data, the inertial-range behavior of the model is described by limiting case of vanishing correlation by: 6.

AdzhemyanAntonov N.V. and Vasiliev A.N.,Quantum Field Renormalization Group in the Theory of Fully Developed Turbulence, Physics Uspehi, 39, Author: Dimitri Volchenkov. This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium.

Two different systems a Diffusive Epidemic Process and Fully Developed Turbulence. Authors (view affiliations) Book. Downloads; Part of the Springer Theses.

Field Theoretic Renormalization Group in Fully Developed Turbulence by Adzhemyan,available at Book Depository with free delivery worldwide.

Quantum field renormalization group in the theory of fully developed turbulence Article (PDF Available) in Physics-Uspekhi 39(12) October with 67 Reads How we measure 'reads'. The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research.

This volume gives a detailed and comprehensive review of the results obtained using this theory since the mids. Field Theoretic Renormalization Group in Fully Developed Turbulence Adzhemyan, N.V. Antonov, A.N. Vasiliev Limited preview - Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot: A Jubilee.

Renormalization group analysis of stochastic and turbulent systems Author: Date: April 2, In our works we apply quantum field methods developed initially to describe interactions between elementary particles to the problems of statistical physics, namely to the fully developed hydrodynamic turbulence.

The goal of this book is to present a detailed exposition of the quantum. field renormalization-group (RG) technique and its applications to various. problems in the classical theory of critical behavior and stochastic dynamics. The common feature of these problems is the presence of a nontrivial scale.

The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc.

Modern studies in turbulence and. For the first group of readers, a concise summary of the theory and practice of turbulence up to about is given as an introduction.

This is followed by a detailed analysis of modern (post ) turbulence theory, including rigorous formulation of the turbulence problem as an. Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering values of quantities to compensate for effects of their even if no infinities arose in loop diagrams in quantum field theory, it could.

The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field theoretic renormalization group approach.

The turbulent motion is described by the stochastic Navier-Stokes equation with the random stirring force whose correlation function includes two terms that allow one to. Using analytical approach of the field theoretic renormalization-group technique in two-loop approximation we model a fully developed turbulent system with vector characteristics driven by stochastic Navier-Stokes equation.

The behaviour of the turbulent Prandtl number Pr A,t is investigated as a function of parameter A and spatial dimension d > 2 for three cases, namely, kinematic MHD Author: Eva Jurčišinová, Marián Jurčišin, Richard Remecky.Non-perturbative Renormalization Group (NPRG) technique is applied to a stochastical model of a non-conserved scalar order parameter near its critical point, subject to turbulent advection.

The compressible advecting flow is modeled by a random Gaussian velocity field with zero mean and correlation function 〈υjυi〉∼(Pji⊥+αPji∥)/kd+ by: 2.The renormalization group (RG) method performs a certain rearrangement (inﬁnite resummation) of the original perturbation series, and turns them into a series of the parameter of order unity (since we deal with fully developed turbulence, where Re tends to inﬁnity, it is unpossible to work with initial “naive” perturbation expansion).Author: Nikolay V.

Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomáš Lučivjanský.