AST 462: Physics of Astrophysics II:


Course Info and Brief Syllabus

Suggested Book Problems:

Chapter 4: 4.1, 4.2, 4.7

Chapter 5: 5.1, 5.2 (this is called Taylor-Couette flow), 5.4

Chapter 6: 6.3, 6.5

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Lecture Notes:

Lecture 1 Basic relation between fluids and plasmas, derivation of collisionless Boltzmann equation

Lecture 2 Invariants, Derivation of Collisonal Boltzmann Equation, Maxwellian distribution as steady state, moment equations

Lecture 3 Moment equations, derivation of fluid equations for viscous flow with thermal conductivity, derivation of transport coefficients.

Lecture 4: Vorticity, Incompressible flow, Hydrostatic equilibrium Solar Corona, Bernoullis principle

Lecture 5: Robust proof of Kelvin Circulation Theorem/Magnetic Flux Freezing, Relation between MHD and Fluids, Viscous Flow

Lecture 5a: Discussion of physical difference between viscosity and magnetic diffusivity

Curveball in Rarefied Atmosphere (technical paper)

Discussion of Curves (= "Swings") in Cricket also from NASA

Lecture 6: Importance of Reynolds Number, Onset of Turbulence, and Drag Forces

Lecture 7: Compressibility, Sound Waves, Shocks

Lecture 8: More on Shocks, Supernovae as an example, Justifying the Shock Thickness, Regimes of Blast Wave Evolution

Lecture 9: Instabilities: Convection and Buoyancy, Schwarzchild Criterion, Brunt-Vaisala Frequency

Lecture 10: Turbulence: basic concepts, energy spectrum Kolmogorov theory, Turbulent diffusion

Lecture 11: Turbulent diffusion continued

Lecture 12: Introduction to Accretion: Accretion in a binary system, circularization radius, need for mechanism of angular momemtum transport

Lecture 13: Derivation of Viscous Torque in Accretion Disks; parameterizing the viscosity

Lecture 14: More on accretion: Accretion speed as diffusion, hydrostatic equilibrium

Lecture 15: Still more accretion: Steady Accretion Disks, Luminosity and Spectrum

Lecture 16: Hydrodynamics and Rotating Flows: Geostrophic flows, Rossby Number Still more accretion: Steady Accretion Disks, Luminosity and Spectrum

Lecture 17: MHD I: Derivation of Ohm's Law from Two-fluid Equations; Derivation of the Jx B force in the Momentum equation for MHD; Derivation of the Magnetic Induction Equation

Lecture 18: MHD II: Physical interptatoin of J x B force: pressure vs. tension; Flux freezing; Magnetostatics and confinement of "jet" by magnetic forces

Lecture 19: MHD III: Physical description of stability of magnetic structures; magnetic buoyancy; Graphical description of solar cycle dynamo; Ferarros law of isoration and role of fields in angular momentum transport