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Mode coupling theory of hydrodynamics and steady state systems

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  • Machta, Jonathan
  • Oppenheim, Irwin

Abstract

We construct a formal mode coupling theory for hydrodynamic systems which includes contributions from all powers of the hydrodynamic variables. This theory is applied to nonequilibrium steady state systems. A generalization of the local equilibrium distribution is used to describe the nonequilibrium state. This distribution independently constrains all moments of the hydrodynamic variables. The infinite hierarchy of equations for the moments of the hydrodynamic variables is truncated using an inverse system size expansion. Explicit results are obtained for the time correlation functions of fluids with a linear temperature gradient or a linear shear. These results agree with previous studies of these steady states.

Suggested Citation

  • Machta, Jonathan & Oppenheim, Irwin, 1982. "Mode coupling theory of hydrodynamics and steady state systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 361-392.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:3:p:361-392
    DOI: 10.1016/0378-4371(82)90185-6
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