DOAJ Open Access 2025

Numerical Investigation on the Thomas–Fermi Model and Its Quantum and Exchange Corrections

Yangyang Ma Wenle Song Junlei Zhao Lei Wang Shenghui Mu +1 lainnya

Abstrak

The Thomas–Fermi model and its quantum and exchange corrections with mathematic manipulations and numerical approaches are primarily investigated. The reduced ideal electron chemical potential is adopted as the initial value for the iterative solution of the Thomas–Fermi model. A new transformation for the quantum and exchange equations is proposed to apply the boundary conditions easily. Both the Thomas–Fermi equation and correction equations are solved with the Runge–Kutta algorithm. The mathematical difficulties in controlling the computing accuracy of the equations containing the Fermi–Dirac integral are settled. The equation of state, based on the Thomas–Fermi model with its quantum and exchange corrections, is constructed and compared with relevant data.

Topik & Kata Kunci

Physics Plasma physics. Ionized gases

Penulis (6)

Yangyang Ma

Wenle Song

Junlei Zhao

Lei Wang

Shenghui Mu

Kun Wang

Format Sitasi

APA MLA BibTeX

Ma, Y., Song, W., Zhao, J., Wang, L., Mu, S., Wang, K. (2025). Numerical Investigation on the Thomas–Fermi Model and Its Quantum and Exchange Corrections. https://doi.org/10.3390/plasma8030031

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.3390/plasma8030031
Akses: Open Access ✓