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5 White dwarf atmosphere Most of a white dwarf is a degenerate electron gas, but they have thin non-degenerate "atmospheres" that insulate the white dwarf and slow the cooling process. Derive the scaling between pressure and temperature in this atmosphere under conditions of hydrostatic equilibrium and radiative transport (no convection). Assume that the dominant source of opacity is free-free absorption, so Kramer's law applies: K - You can also assume that M(r) ~ const = M, and L(r) ~ const = L, in the white dwarf atmosphere. p/T³.5_

5 White dwarf atmosphere Most of a white dwarf is a degenerate electron gas, but they have thin non-degenerate "atmospheres" that insulate the white dwarf and slow the cooling process. Derive the scaling between pressure and temperature in this atmosphere under conditions of hydrostatic equilibrium and radiative transport (no convection). Assume that the dominant source of opacity is free-free absorption, so Kramer's law applies: K - You can also assume that M(r) ~ const = M, and L(r) ~ const = L, in the white dwarf atmosphere. p/T³.5_

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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White dwarf atmosphere Most of a white dwarf is a degenerate electron gas, but they have thin non-degenerate “atmospheres" that insulate the white dwarf and slow the cooling process. Derive the scaling between pressure and temperature in this atmosphere under conditions of hydrostatic equilibrium and radiative transport (no convection). Assume that the dominant source of opacity is free-free absorption, so Kramer's law applies: K - You can also assume that M(r) ~ const = M4 and L(r) - const = L in the white dwarf atmosphere.
Transcribed Image Text:White dwarf atmosphere Most of a white dwarf is a degenerate electron gas, but they have thin non-degenerate “atmospheres" that insulate the white dwarf and slow the cooling process. Derive the scaling between pressure and temperature in this atmosphere under conditions of hydrostatic equilibrium and radiative transport (no convection). Assume that the dominant source of opacity is free-free absorption, so Kramer's law applies: K - You can also assume that M(r) ~ const = M4 and L(r) - const = L in the white dwarf atmosphere.
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