Cluster virial expansion for the equation of state of partially ionized hydrogen plasma
- Institute of Physics, University of Rostock, D-18051 Rostock (Germany)
- Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095 (United States)
- IETP, Al-Farabi Kazakh National University, 96a, Tole bi St., Almaty 050012 (Kazakhstan)
We study the contribution of electron-atom interaction to the equation of state for partially ionized hydrogen plasma using the cluster-virial expansion. We use the Beth-Uhlenbeck approach to calculate the second virial coefficient for the electron-atom (bound cluster) pair from the corresponding scattering phase shifts and binding energies. Experimental scattering cross-sections as well as phase shifts calculated on the basis of different pseudopotential models are used as an input for the Beth-Uhlenbeck formula. By including Pauli blocking and screening in the phase shift calculation, we generalize the cluster-virial expansion in order to cover also near solid density plasmas. We present results for the electron-atom contribution to the virial expansion and the corresponding equation of state, i.e. pressure, composition, and chemical potential as a function of density and temperature. These results are compared with semiempirical approaches to the thermodynamics of partially ionized plasmas. Avoiding any ill-founded input quantities, the Beth-Uhlenbeck second virial coefficient for the electron-atom interaction represents a benchmark for other, semiempirical approaches.
- OSTI ID:
- 21476438
- Journal Information:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevE.82.026407; (c) 2010 The American Physical Society; ISSN 1539-3755
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BINDING ENERGY
CROSS SECTIONS
ELECTRON-ATOM COLLISIONS
ELECTRONS
EQUATIONS OF STATE
HYDROGEN
PHASE SHIFT
PLASMA
PLASMA DENSITY
PLASMA EXPANSION
THERMODYNAMICS
ATOM COLLISIONS
COLLISIONS
ELECTRON COLLISIONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
EQUATIONS
EXPANSION
FERMIONS
LEPTONS
NONMETALS