Corrections to Fluid Dynamics
نویسنده
چکیده
We propose a kinetic model of a fluid in which five macroscopic fields, the mass, energy, and three components of momentum, are conserved. The dynamics is constructed using the methods of statistical dynamics, and results in a discrete-time Markov chain for random fields on a lattice, followed by projection onto the information manifold. In the continuum limit we obtain a non-linear coupled parabolic system of field equations, showing corrections to the Navier-Stokes equations. In particular, the Euler equation for the conservation of mass acquires a diffusion term, seen to be an Ito correction; this is also the origin of the usual viscosity terms. All parameters are predicted in terms of the mass and size of the molecules. It is argued that the new equations are more stable as well as more consistent than the Navier-Stokes system.
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ورودعنوان ژورنال:
- Open Syst. Inform. Dynam.
دوره 10 شماره
صفحات -
تاریخ انتشار 2003