It is the fifth part of the study published under the common umbrella of “The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma”. In Parts 1 - 4, we formulated a novel approach to thermodynamics of one- and two-component heterogeneous systems completely or partially filled with a liquid substance in the plasma state. The approach is based on the use of Gibbs variational principles, and it enables efforts to address a variety of problems relating to the equilibrium and stability of such systems. In this fifth part, the results of Parts 1 - 4 are applied to the analysis of equilibrium configurations of a two-component charged plasma trapped between two parallel plates (the geometry often used in various applications).
References
[1]
Grinfeld, M. and Grinfeld, P. (2018) The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma: 1. General Conditions of Equilibrium and Stability for One-Component Charged Gas. The US Army Research Laboratory, Aberdeen Proving Ground.
[2]
Grinfeld, M. and Grinfeld, P. (2018) The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma: 2. The Equation of State for Plasma. The US Army Research Laboratory, Aberdeen Proving Ground.
[3]
Grinfeld, M. and Grinfeld, P. (2019) The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma: 3. Multicomponent Plasma. The US Army Research Laboratory, Aberdeen Proving Ground.
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Grinfeld, M. and Grinfeld, P. (2019) The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma: 4. One-Component Charged Gas in an External Electric Field. The US Army Research Laboratory, Aberdeen Proving Ground.
[5]
Grinfeld, M. (2013) Operational Equations of State for Modeling High-Rate Phenomena. In: Chalivendra, V., Song, B. and Casem, D., Eds., Dynamic Behavior of Materials, Springer-Verlag, New York, 337-344. https://doi.org/10.1007/978-1-4614-4238-7_43
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Gibbs, J.W. (1874/1878) On the Equilibrium of Heterogeneous Substances. Transactions of the Connecticut Academy of Arts and Sciences, 3, 108-248, 343-524.
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Hidalgo, B.H., Acosta, L.D.C.M. and Hinojosa, N.D.R.F. (2022) Mathematical Model to Elaborate the Table of Thermodynamic Properties. Journal of Applied Mathematics and Physics, 10, 1951-1967. https://doi.org/10.4236/jamp.2022.106134