### Abstract

Language | English |
---|---|

Pages | 312-320 |

Number of pages | 9 |

Journal | Physica Scripta |

Volume | 54 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1996 |

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### Keywords

- radiative transfer equation
- solar interior

### Cite this

*Physica Scripta*,

*54*(3), 312-320. https://doi.org/10.1088/0031-8949/54/3/011

}

*Physica Scripta*, vol. 54, no. 3, pp. 312-320. https://doi.org/10.1088/0031-8949/54/3/011

**The equation of radiative transfer in the solar interior.** / Tsytovich, V N; Bingham, R; Angelis, U de; Forlani, A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The equation of radiative transfer in the solar interior

AU - Tsytovich, V N

AU - Bingham, R

AU - Angelis, U de

AU - Forlani, A

PY - 1996

Y1 - 1996

N2 - We re-examine the theory of collective scattering, bremsstrahlung and the transport of radiation in the solar interior, including the effects of transition-bremsstrahlung, stimulated scattering, relativistic corrections and frequency diffusion during radiative transport, which transforms the transport equation into a differential equation (in frequency) for the radiative flux. When this is taken into account the transport equation can no longer be converted into the equation of "radiative transfer" where the total flux of radiation integrated over all frequencies is related to the temperature gradient via the Rosseland mean opacity. The concept of radiative opacity can only be introduced if the frequency diffusion is ignored or treated as a perturbation. In this case the change in the radiative opacity due to these effects is discussed in view of its importance for the neutrino production rate in the solar interior and compared with previous calculations.

AB - We re-examine the theory of collective scattering, bremsstrahlung and the transport of radiation in the solar interior, including the effects of transition-bremsstrahlung, stimulated scattering, relativistic corrections and frequency diffusion during radiative transport, which transforms the transport equation into a differential equation (in frequency) for the radiative flux. When this is taken into account the transport equation can no longer be converted into the equation of "radiative transfer" where the total flux of radiation integrated over all frequencies is related to the temperature gradient via the Rosseland mean opacity. The concept of radiative opacity can only be introduced if the frequency diffusion is ignored or treated as a perturbation. In this case the change in the radiative opacity due to these effects is discussed in view of its importance for the neutrino production rate in the solar interior and compared with previous calculations.

KW - radiative transfer equation

KW - solar interior

U2 - 10.1088/0031-8949/54/3/011

DO - 10.1088/0031-8949/54/3/011

M3 - Article

VL - 54

SP - 312

EP - 320

JO - Physica Scripta

T2 - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 3

ER -