Abstract
A modified expression of the electron entropy production in a plasma is deduced by means of the Kelly equations of state instead of the ideal gas equations of state. From the Debye–Hückel model which considers the interaction between the charges, such equations of state are derived for a plasma and the entropy is deduced. The technique to obtain the modified entropy production is based on usual developments but including the modified equations of state giving the regular result plus some extra terms. We derive an expression of the modified entropy production in terms of the tensorial Hermitian moments by means of the irreducible tensorial Hermite polynomials.
Highlights
The entropy production was studied since the middle of the XIX century by Clausius [1]
In order to highlight the importance of the Hermitian moments, it has to be mentioned that they were included recently by Sonnino et al [6] to compute the heat loss in L-mode, collisional, tokamak plasmas to test the validity of the sophisticated thermodynamical field theory
In order to understand the thermodynamics of a plasma, the entropy represents a fundamental concept and, it is necessary to have an expression for the entropy production, in particular the entropy production due to the electrons
Summary
The entropy production was studied since the middle of the XIX century by Clausius [1]. The purpose of this article is threefold: A—To obtain the modified electron entropy production by using the set of modified equations of state (Section 4) instead of the ideal gas equations of state Notice that this does not include any effects due to toroidal configurations, rotating plasmas or electrostatic turbulence [18,19]. To verify that such equations of state describe a thermodynamic system, the entropy is expressed. By means of the modified equations of state, we derive an expression of the modified electron entropy production in terms of the Hermitian moments hr1 ...rm by means of the irreducible tensorial Hermite polynomials.
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