Abstract
The equation of state (EOS) is the relation between the pressure, the temperature and the density (specific volume) of a physical system and is related both to fundamental physics and applied science. The study of equations of state under extreme conditions is an interdisciplinary subject with important applications to material science, astrophysics, geophysics, nuclear physics, plasma physics etc. EOS describes nature over all possible values of pressure, density and temperature where local thermodynamic equilibrium can sustain. Various domain of the EOS are given by analyzing a temperature-pressure diagram for various states of matter.
In this paper three subjects are discussed: (a) The Thomas-Fermi-Dirac (TFD) EOS, (b) EOS problems in inertial confinement fusion (ICF), (c) The virial theorem and EOS. The TFD equation of state plays a major role in the physics of high pressure. The use of EOS in inertial confinement fusion is a typical example of the importance of EOS in the study of compressing small pellets with liquid deuterium (+tritium) by powerful lasers or ion beams. Finally, by using the virial theorem the EOS for ideal gasses is derived. Moreover, we expose the relation between the virial theorem and the EOS for a gravitational system and for the TFD system.
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Eliezer, S. (1989). High Pressure Equation of State in Various Areas of Physics — Overview. In: Greiner, W., Stöcker, H. (eds) The Nuclear Equation of State. NATO ASI Series, vol 216a. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0583-5_38
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DOI: https://doi.org/10.1007/978-1-4613-0583-5_38
Publisher Name: Springer, Boston, MA
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