Partially ionized hydrogen plasma in strong magnetic fields.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 4022

Study snapshot

PublicationPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999

Study typeother

Reported directionUnclear

Evidence ratingInsufficient

Abstract

We study the thermodynamic properties of a partially ionized hydrogen plasma in strong magnetic fields, B approximately 10(12)-10(13) G, typical of neutron stars. The properties of the plasma depend significantly on the quantum-mechanical sizes and binding energies of the atoms, which are strongly modified by thermal motion across the field. We use new fitting formulas for the atomic binding energies and sizes, based on accurate numerical calculations and valid for any state of motion of the atom. In particular, we take into account decentered atomic states, neglected in previous studies of thermodynamics of magnetized plasmas. We also employ analytic fits for the thermodynamic functions of nonideal fully ionized electron-ion Coulomb plasmas. This enables us to construct an analytic model of the free energy. An ionization equilibrium equation is derived, taking into account the strong magnetic field effects and the nonideality effects. This equation is solved by an iteration technique. Ionization degrees, occupancies, and the equation of state are calculated.

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AI evidence extraction

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Study typeother

Effect directionunclear

PopulationNot supplied

Sample sizeNot supplied

ExposureNot supplied

Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

An analytic free-energy model is constructed for partially ionized hydrogen plasma in strong magnetic fields (B ~10^12–10^13 G), incorporating fitted atomic binding energies/sizes (including decentered atomic states) and nonideal Coulomb plasma thermodynamic functions. An ionization equilibrium equation accounting for strong-field and nonideality effects is derived and solved iteratively to calculate ionization degrees, occupancies, and the equation of state.

Outcomes measured

Thermodynamic properties of partially ionized hydrogen plasma in strong magnetic fields
Atomic binding energies and sizes modified by thermal motion across magnetic field
Free energy analytic model
Ionization equilibrium equation including strong magnetic field and nonideality effects
Ionization degrees, occupancies, and equation of state

View raw extracted JSON

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  "outcomes": [
    "Thermodynamic properties of partially ionized hydrogen plasma in strong magnetic fields",
    "Atomic binding energies and sizes modified by thermal motion across magnetic field",
    "Free energy analytic model",
    "Ionization equilibrium equation including strong magnetic field and nonideality effects",
    "Ionization degrees, occupancies, and equation of state"
  ],
  "main_findings": "An analytic free-energy model is constructed for partially ionized hydrogen plasma in strong magnetic fields (B ~10^12–10^13 G), incorporating fitted atomic binding energies/sizes (including decentered atomic states) and nonideal Coulomb plasma thermodynamic functions. An ionization equilibrium equation accounting for strong-field and nonideality effects is derived and solved iteratively to calculate ionization degrees, occupancies, and the equation of state.",
  "effect_direction": "unclear",
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  "evidence_strength": "insufficient",
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  "peer_reviewed_likely": "yes",
  "keywords": [
    "hydrogen plasma",
    "strong magnetic fields",
    "neutron stars",
    "thermodynamics",
    "atomic binding energy",
    "decentered states",
    "free energy model",
    "ionization equilibrium",
    "equation of state",
    "Coulomb plasma",
    "nonideal plasma"
  ],
  "suggested_hubs": []
}

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Identifiers and source

DOI: 10.1103/physreve.60.2193
PubMed: 11970014

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