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Lecture 2: Physical Processes In Astrophysical and Laboratory Plasmas Lecture 1: Temperature-Density regime Many physical processes Focus on Atomic+Plasma interactions Atomic properties are intrinsic, independent of external factors (temp, den, etc.) Plasma interactions are treated as extrinsic Approximation: Isolated atoms perturbed by environment
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Quantum Statistical Equilibrium Division between atomic and plasma physics Calculation of individual atomic parameters – Chs. 2-7 Hartree-Fock, Close-Coupling (R-Matrix), etc. Radiative and collisional properties Transition probabilities and cross sections External statistical equilibrium of particles Local-Thermodynamic-Equilibrium (LTE) characterized by local temperature-density Saha ionization balance, Boltzmann level population Boltzmann-Saha distribution Non-LTE requires explicit particle-radiation coupling Collisional-Radiative model (simple) – Ch. 8: Emission lines Multi-level radiative transfer model (complex) – Ch. 9: Absorption
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Collisional-Radiative (CR) Models Section 8.2 and Fig. 8.7 Need excitation and radiative parameters, viz. Electron impact cross sections (E): Ch. 5 – EIE Maxwellian averaged rate coefficients (T) Eq. (5.31) A-values and oscillator strengths Ch. 4 – Radiative Transitions Other processes such as fluorescent excitation by background radiation field may be included
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Coupled CR Rate Equations Level Populations, emissivity, line ratios Section 8.1.3 Examples: [O II], [S II] forbidden lines He-like X-ray lines: Section 8.4, Fig. 8.7 General time-dependent rate equation Eq. (8.41) Transient emission spectra (e.g. black-hole accretion disk x-ray flares): Fig. 8.13
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Non-LTE Radiative Transfer Models Ch. 9: Absorption lines and radiative transfer Consider radiation-matter coupling explicitly For each photon frequency, specify monochromatic source function S monochromatic opacity and emissivity Section 9.4: Radiative transfer
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Optical Depth Definition: Fig. 9.9 and Eq. (9.118) Basic radiative transfer equation: Eq. (9.119) Absorption and emissivity coefficients Source function: Eq. (9.126) S Einstein A,B coefficients
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