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Radiative Equilibrium

Radiative Equilibrium. The Condition of Radiative Equilibrium. Modes of Energy Transport Radiative Convective Conduction - Not important except in WD’s etc When all energy is transported by radiation the condition of radiative equilibrium applies.

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Radiative Equilibrium

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  1. Radiative Equilibrium

  2. The Condition of Radiative Equilibrium • Modes of Energy Transport • Radiative • Convective • Conduction - Not important except in WD’s etc • When all energy is transported by radiation the condition of radiative equilibrium applies. • Schwarzschild: τ 1 : Radiative τ> 1 : Convective • Convection is driven by Hydrogen ionization. Radaitive Equilibrium

  3. Radiative Equilibrium • The Energy Removed from the Beam: • Κν- total absorption coefficient • Total Energy Replaced In Beam: • Radiative Equilibrium Demands: Radaitive Equilibrium

  4. Flux Constancy • Take the Equation of Transfer and Integrate over all Frequencies and Solid Angles • But Under Radiative Equilibrium the Right Side = 0! • Therefore the Flux is constant with depth! • Total Flux uniquely specified for each atmosphere Radaitive Equilibrium

  5. Consider A Blackbody • A Small Opening in A TE Cavity • Total Flux is the Integral over Frequency: • Define Teff: Radaitive Equilibrium

  6. One Last Consideration Look at (*) Again Scattering has cancelled out as it puts as much energy into the beam as it takes out! Radaitive Equilibrium

  7. HR Diagram Chapter 13 – “Stellar Rotation” Böhm-Vitense – Introduction to Stellar Astrophysics Vol 1 Landolt-Börnstein Radaitive Equilibrium

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