A Model of Dense-plasma Atomic Structure for Equation-of-state Calculations
نویسنده
چکیده
A model of dense plasmas relying on the superconfiguration approximation is presented. In each superconfiguration the nucleus is totally screened by the electrons in a Wigner-Seitz sphere (ion-sphere model). Superconfigurations of the same charge are grouped into ions. It is shown that boundary values of the wavefunctions play a crucial role in the form of the Virial theorem from which the pressure formula is derived. Finally, a condition is presented and discussed, which makes the ion-sphere model variational when bound electrons are treated quantum-mechanically and free electrons quasi-classically.
منابع مشابه
Extension of the Dense System Equation of State to Electrolyte Solutions
In this work we have applied the Dense System Equation of State (DSEOS) to electrolyte solutions. We have found that this equation of state can predict the density of electrolyte solutions very accurately. It has been tested for different electrolytes solutions at different temperatures and compositions. A hypothetical binary model has been applied to find the dependencies of parameters of ...
متن کاملDERIVING THE EQUATION OF STATE FOR LIQUIDS AND EXTENSION OF THE PRINCIPLE OF CORRESPONDING STATES
A new simple model is introduced for a liquid and an equation of state is derived based on this model and the statistical mechanical calculations. This equation of state works well for the non-polar and slightly polar liquids. The important conclusion that may be deduced from this equation of state is that if the reduced variables of state are chosen and defined appropriately, then, the pri...
متن کاملNew analytical soliton type solutions for double layers structure model of extended KdV equation
In this present study the double layers structure model of extended Korteweg-de Vries(K-dV) equation will be obtained with the help of the reductive perturbation method, which admits a double layer structure in current plasma model. Then by using of new analytical method we obtain the new exact solitary wave solutions of this equation. Double layer is a structure in plasma and consists of two p...
متن کاملSupercritical Fluid Extraction of Carotenoid from Microalgae with Projected Thermodynamic Models (RESEARCH NOTE)
In this study, two thermodynamic models (regular solution theory and equation of state) were applied to obtain carotenoid solubility in the supercritical carbon dioxide solvent. Theoretical data obtained from the models were compared with the experimental data extracted from a published paper. The use of equation of state as an empirical correlation for collating and predicting liquidliquid and...
متن کاملMulti-Component-Multiphase Flash Calculations for Systems Containing Gas Hydrates by Direct Minimization of Gibbs Free Energy
The Michelsen stability and multiphase flash calculation by direct minimization of Gibbs free energy of the system at constant temperature and pressure, was used for systems containing gas hydrates. The solid hydrate phase was treated as a solid solution. The fugacities of all components of the hydrate phase were calculated as a function of compositions by the rearranged model of van der Wa...
متن کامل