On the ionization equilibrium of hot hydrogen plasma and thermodynamic consistency of formulating finite internal partition functions

Abstract

The problem of formulating a thermodynamically-consistent finite internal partition function

Response to “Comment on ‘On the ionization equilibrium of hot hydrogen plasma and thermodynamic consistency of formulating finite partition functions’ ” [Phys. Plasmas 17, 124705 (2010)]

“…We, therefore, assure the existence of the inconsistencies in previous models of the occupation probability formalism which we showed in our analysis in Ref. 5 and reconfirm the correctness of our analysis and conclusions therein.…”

Thermodynamic and Transport Properties of Equilibrium Debye Plasmas

“…The development of new technologies and experimental techniques has triggered intensive theoretical studies on modeling spatially confined quantum systems [ 1 , 2 ] and also extreme-high-pressure plasmas [ 3 ] like in stellar envelopes [ 4 ]. The thermodynamics of high-density hydrogen plasmas has been deeply investigated [ 5 , 6 , 7 , 8 , 9 ], due to the necessity of properly accounting for the effects of the multi-body interaction and in principle requiring the reformulation of the statistical mechanics in terms of a global Hamiltonian for the whole gas, instead of the usual separable form of non-interacting chemical species characterized through internal and translational partition functions. The non-ideality also affects the transport properties and in the case of dense, non-ideal, weakly-ionized Debye hydrogen plasma, the electrical conductivity in the non-metal-to-metal transition region at 150 GPa has been measured [ 10 ].…”

Elementary Processes and Kinetic Modeling for Hydrogen and Helium Plasmas

“…The thermodynamics and transport properties in the case of dense, weakly-ionized Debye hydrogen plasma have been frequently investigated in the literature [14][15][16][17][18][19], due to the necessity of properly accounting for the non-ideal effects of the multi-body interaction. The complexity of the rigorous approach led to the development of simplified models, able to include the neighbor effects on the isolated system though remaining consistent with the traditional approaches.…”