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Peer-reviewedCC BY 4.0The Astrophysical Journal

Moment-based Formulae for the Transport Coefficients

  • J.-F. 俊芳 Wang 王1
  • G. 刚 Qin 秦1
  1. 1Harbin Institute of Technology
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Abstract

The coefficients of the transport equations that describe propagation features are particularly important in astrophysics, interplanetary physics, and experimental plasma physics. In this paper, using the momentum transport equations, we find that the coefficients are related to statistical quantities, and some of these relations are new. In addition, these coefficients take logarithmic forms that differ from those derived in previous studies. Moreover, we investigate variable-dependent diffusion coefficients in transport equations. For isotropic pitch-angle scattering, we also obtain a formula that has a logarithmic form. For fractional transport equations, the coefficients expressed in terms of the moments are obtained from the governing equations.

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Cite

BibTeXRIS
BibTeX
@article{王2026momentbased,
  title = {{Moment-based Formulae for the Transport Coefficients}},
  author = {J.-F. 俊芳 Wang 王 and G. 刚 Qin 秦},
  journal = {The Astrophysical Journal},
  year = {2026},
  month = nov,
  doi = {10.3847/1538-4357/aeb410},
  url = {https://iopscience.iop.org/article/10.3847/1538-4357/aeb410},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Moment-based Formulae for the Transport Coefficients
AU  - J.-F. 俊芳 Wang 王
AU  - G. 刚 Qin 秦
PY  - 2026
DA  - 2026/11/04
JO  - The Astrophysical Journal
DO  - 10.3847/1538-4357/aeb410
UR  - https://iopscience.iop.org/article/10.3847/1538-4357/aeb410
AB  - The coefficients of the transport equations that describe propagation features are particularly important in astrophysics, interplanetary physics, and experimental plasma physics. In this paper, using the momentum transport equations, we find that the coefficients are related to statistical quantities, and some of these relations are new. In addition, these coefficients take logarithmic forms that differ from those derived in previous studies. Moreover, we investigate variable-dependent diffusion coefficients in transport equations. For isotropic pitch-angle scattering, we also obtain a formula that has a logarithmic form. For fractional transport equations, the coefficients expressed in terms of the moments are obtained from the governing equations.
SN  - 1538-4357
SN  - 0004-637X
ER  -