ABSTRACT
In [103], and also in previous chapters of the present Section a model approach to the calculations of the total set of nonideal plasma transport coefficients was formulated. With this purpose, it was offered, herein, to use the system of classical kinetic equations the collisional integrals of which are defined in Boltzmann form taking account of elementary processes (significant in a non-ideal plasma), qualitative features of its composition and data on kinetic coefficients of a non-ideal classical Coulomb system. Such an approach permits one to separate the contributions to kinetic coefficients, caused by the concrete component composition of the plasma and strong Coulomb interactions in it, that is non-Coulomb and Coulomb effects. At the transition from Dik, Djto effective transport coefficients, by which the mass currents of the chemical elements (including the electric current) are expressed, it is necessary according [103] to account for non-ideality in thermodynamic forces. The propounded scheme above for the calculation of transport coefficients and ETC is
Here Jt is the y-th chemical reaction rate, r is the number of chemical
reactions, are stoichio-
metrical coefficients in the j-th reaction, components from q+\ to N are
they-th reaction product. We designate the entropy current J^ by the expression under the div symbol, the remaining a is a local entropy production which is nonnegative in accordance with the second low of thermodynamics. That way of dividing the total specific entropy is determined by the following considerations: the entropy production is equal to zero if there is total equilibrium within a plasma, a is invariant relative to a Galilei transformation, the integration ofpmd'sldt by volume (taking into account that a > 0) for a closed system gives the relation which is equivalent to the Carnot-Clausius theorem dSldt > - \ div(Jq/T)dV. We write the expression for entropy production v
For the investigation of restrictions on multicomponent diffusion coefficients the entropy production form resulting from (20.3) is more convenient if we use the relation
We introduce the heat current in the form
(20.3)
(20.4)
(20.5)
and using (20.4), (20.5) rewrite (20.3) in a the form
(20.6)
For the purpose of determining the signs of the viscosity coefficients it is necessary to divide the symmetrical tensor EL and dw^dxj into parts, then we find the expression for entropy production
The entropy production in concise form is
(20.8)
since in the linear approach
In (20.8), (20.9) J. are fluxes, X. are thermodynamical forces, P.. are phenomenological kinetic coefficients (compare §3).
