Abstract
The generalized hydrodynamics equations derived in the previous chapter include the flux evolution equations which are the constitutive equations for the fluxes in the system. As such, they contain the information on the material properties and, in particular, the transport processes occurring in the system. In this chapter we first show how to extract such information and under what condition the conventional theory of linear transport processes, such as the Chapman—Enskog first approximation for linear transport processes, arises from the more general viewpoint of the present nonequilibrium ensemble method and the generalized hydrodynamics equations underlying it. We then will formulate a theory of steady state nonlinear transport processes which extends the linear theory into regimes where nonlinear couplings between fluxes are required for the proper description of the processes in question. Some applications of the steady state constitutive equations and the nonlinear transport coefficients obtained therefrom will be discussed in the remainder of the chapter.
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Eu, B.C. (1998). Transport Processes in Fluids. In: Nonequilibrium Statistical Mechanics. Fundamental Theories of Physics, vol 93. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2438-8_8
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DOI: https://doi.org/10.1007/978-94-017-2438-8_8
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