Onsager's theorem and higher-order hydrodynamic equations
- 1 October 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 10 (4) , 1272-1276
- https://doi.org/10.1103/physreva.10.1272
Abstract
Hydrodynamic equations of higher order, such as Burnett's equations, do not satisfy Onsager's theorem in its usual form. The reason for this is investigated, and is found to be related to the existence of "initial slip." A recent application of Onsager's theorem to the number of propagating hydrodynamic modes is generalized to apply to linear hydrodynamic equations of any order.Keywords
This publication has 19 references indexed in Scilit:
- Onsager symmetry relations and the maximum number of propagating hydrodynamic modesPhysical Review A, 1974
- Burnett Coefficients and Correlation FunctionsPhysical Review A, 1973
- Low-Frequency Behavior of Transport Coefficients in FluidsPhysical Review A, 1972
- Decay of Time Correlations in Two DimensionsPhysical Review A, 1971
- Velocity Correlation Functions in Two and Three DimensionsPhysical Review Letters, 1970
- Asymptotic Time Behavior of Correlation FunctionsPhysical Review Letters, 1970
- Decay of the Velocity Autocorrelation FunctionPhysical Review A, 1970
- Velocity Autocorrelations for Hard SpheresPhysical Review Letters, 1967
- Correlation Functions for Dilute SystemsPhysics of Fluids, 1966
- Asymptotic Theory of the Boltzmann EquationPhysics of Fluids, 1963