Thermodynamical properties of the relativistic quantum scalar plasma
Abstract
Results of previous theoretical studies of a relativistic quantum scalar plasma (i.e., a system of spin 1/2 baryons interacting through a scalar field) at 0 K are extended to finite temperatures in the Hartree approximation by using a method based on the one-particle covariant Wigner function. A mass equation that completely governs the thermodynamic behavior of the system is obtained, and the equations of state of the system are derived from the system's total energy-momentum tensor as well as from the average baryonic four-current. Numerical results are presented in plots of effective mass vs. Fermi momentum and pressure vs. energy per particle for a specified value of one governing parameter and for several temperatures. Pressure is also plotted against chemical potential for another value of the governing parameter, and a phase diagram of the relativistic quantum scalar plasma is given. Five regions are identified in the phase diagram, including one where the system is in a collective bound state and the equation of state does not behave in a Van der Waals manner.
- Publication:
-
Physics Letters A
- Pub Date:
- June 1978
- DOI:
- 10.1016/0375-9601(78)90402-4
- Bibcode:
- 1978PhLA...66..476D
- Keywords:
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- Baryons;
- Cosmic Plasma;
- Hartree Approximation;
- Plasma Physics;
- Relativistic Plasmas;
- Thermodynamic Properties;
- Phase Diagrams;
- Quantum Theory;
- Astrophysics