Abstract
The privileged non-hydrodynamical moments are driven by the hydrodynamical and electrodynamical “forces;” these are the gradients of the hydrodynamical variables and the Lorentz force. In a first stage, it is assumed that these driving forces are weak. This chapter discusses how the hydrodynamic and thermodynamic picture emerges from the kinetic equation, that is, from its moment representation. The asymptotic solution is obtained by simply solving the set of algebraic equations, obtained from the initial set of differential equations by setting all time derivatives equal to zero. The values of the non-privileged moments in this state are small, compared to those of the privileged ones, and decrease as the order of the moment increases. The classical theory of transport is characterized by a set of closure relations expressing the fluxes as linear combinations of the driving forces, with constant transport coefficients. Such relations are called “transport equations.”
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