Problem with the Derivation of the Navier-Stokes Equation by Means of Zwanzig-Mori Projection Technique of Statistical Mechanics
نویسنده
چکیده
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 secondorder part of the term is non-zero, thus leading to an incorrect formula for the equation.
منابع مشابه
Problem with the derivation of the Navier-Stokes equation by means of Zwanzig-Mori technique: Correction and solution
The derivation of the Navier-Stokes equation starting from the Liouville equation using projector techniques yields a friction term which is nonlinear in the velocity. As has been explained in the 1. version of this paper, when the second-order part of the term is non-zero, this leads to an incorrect formula for the equation. In this 2. version, it is shown that the problem is due to an inadequ...
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تاریخ انتشار 2008