Thermodynamics of ionization and dissociation in hydrogen plasmas including fluctuations and magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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8 pages, 10 figures, submitted to Eur.Phys.D

Scientific paper

10.1140/epjd/e2003-00041-9

Applying Gibb's geometrical methods to the thermodynamics of H-plasmas we explore the landscape of the free energy as a function of the degrees of ionization and dissociation. Several approximations for the free energy are discussed. We show that in the region of partial ionization/dissociation the quantum Debye-Hueckel approximation (QDHA) yields a rather good but still simple representation which allows to include magnetic field and fluctuation effects. By using relations of Onsager-Landau-type the probability of fluctuations and ionization/dissociation processes are described. We show that the degrees of ionization/dissociation are probabilistic quantities which are subject to a relatively large dispersion. Magnetic field effects are studied.

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