摘要:

A rigorous derivation of the solutions of the supercritical linear transport equation is given. Our method relies on the spectral approach of Hangelbroek and on Pontrjagin space theory.

ISSN:0041-1450    

DOI:10.1080/00411457508204840

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

Systematic methods are developed for deriving closed approximate equations for probability densities of a turbulent velocity field at one and at two points. These methods are based on diagram techniques of non-equilibrium statistical mechanics and quantum field theory. The equations are written down in the weak coupling approximation. Arguments are made that the approximation which is graphically equivalent to the direct-interaction approximation well known in turbulence theory is rather exact when used for deriving closed equations for multipoint distribution functions. Analysis of the equations in the weak coupling approximation in the inertial range shows their compatibility with a local cascade mechanism of energy transfer in wave number space.

ISSN:0041-1450    

DOI:10.1080/00411457508204841

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

We derive a Markovian kinetic equation by a combination of the operator methods of Zwanzig and the Bloch-Hubbard theory of spin-phonon relaxation, whereby the diagonal singularity condition for the matrix elements of the interaction operator is not invoked. The formalism is useful for the derivation of the stochastic ising model master equation employed by Glauber.

ISSN:0041-1450    

DOI:10.1080/00411457508204842

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor