Relation between Time Averages and Ensemble Averages in the Statistical Dynamics of Continuous Media
- 15 August 1953
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 91 (4), 784-790
- https://doi.org/10.1103/physrev.91.784
Abstract
The method of correlations, which has been widely used in the theory of turbulence, is applied to the case of a field that satisfies linear equations. It is found that most of the difficulties encountered in the theory of turbulence disappear when the equations are linear and that a number of general results can be obtained.Keywords
This publication has 4 references indexed in Scilit:
- The Theory of Noise in Continuous MediaThe Journal of the Acoustical Society of America, 1953
- On the Statistical Theory of Isotropic TurbulenceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938
- Diffusion by Continuous MovementsProceedings of the London Mathematical Society, 1922
- IV. On the dynamical theory of incompressible viscous fluids and the determination of the criterionPhilosophical Transactions of the Royal Society of London. (A.), 1895