Problem with the Derivation of the Navier-Stokes Equation by Means of Zwanzig-Mori Projection Technique of Statistical Mechanics

Details Problem with the Derivation of the Navier-Stokes Equation by Means of Zwanzig-Mori Projection Technique of Statistical Mechanics Problem with the Derivation of the Navier-Stokes Equation by Means of Zwanzig-Mori Projection Technique of Statistical Mechanics

2007-11-18

arxiv.org/abs/0711.2790v1

Physics

General Physics

9 pages, no figures; prepared with Scientific Word

Scientific paper

The derivation of the Navier-Stokes equation starting from the Liouville equation using projection techniques yields a friction term which is nonlinear in the velocity. Using the results of multilinear mode-coupling technique for calculating equlibrium correlation functions, it is shown that the second-order part of the term is non-zero, thus leading to an incorrect formula for the equation.

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