Online Lecture notes for module 210PHY412
Part II – Stellar structure and evolution
(Prof. S. Smartt)
This
course is taught as a half-module for PHY412 Astrophysics in
the Department of Physics and Astronomy at Queen's. It is a 4th year
MSci course, which is compulsory for students on the Physics with
Astrophysics pathway and optional for other Physics and Physics and Applied
Mathematics students.
Lecture 1: The observed
properties of stars (powerpoint file)
- Introduction and learning outcomes for
the module.
- The observable properties of stars
- Recap of previous concepts – basic
stellar parameters, the HR diagram, colour magnitude diagrams, absolute
magnitudes
- Observed mass-luminosity relations
- Star clusters – open clusters and
globulars
Lecture 2: The equations of
stellar structure I (powerpoint file)
- Introduction to the equations
describing stellar structure, basic assumptions
- The equation of hydrostatic support
- The equation of mass conservation
- Accuracy of the hydrostatic assumption
- Accuracy of the spherical symmetry
assumption
- The dynamical timescale
Lecture 3: The equations of
stellar structure II (powerpoint file)
- The minimum value for central pressure
of a star
- The Virial Theorem
- Minimum mean temperature for a star
and the Sun
- The physical state of stellar material
- Radiation and gas pressure
Lecture 4: The equations of
stellar structure III (powerpoint
file)
- Energy generation in stars
- Source of energy generation
- Equation of energy production
- Method of energy transport
- Convection and conditions for
convection
Lecture 5: The equations of
stellar structure IV (powerpoint file)
- The equation of radiation transport
- Summary of the four equations of
stellar structure
- Solving these equations: boundary
conditions, and use of mass as an independent variable
- Temporal evolution of the models
- Influence of convection
Lecture 6: Nuclear reactions
in stellar interiors (powerpoint file)
- Binding energy of atomic nuclei
- Occurrence of fusion reactions:
quantum tunnelling and the Gamow Peak
- Hydrogen burning – PP chain
- Energy production and neutrino emission
- The CNO Cycle
- He burning – the triple-a reaction
- Later stages of nuclear burning and
statistical equilibrium – carbon, oxygen, silicon burning
- The s-process and r-process
Lecture 7: The structure of
main-sequence stars –
homologous stellar models (powerpoint
file)
- Equation of state of an ideal gas
- Mean molecular weight
- Opacity and approximate form for
opacity
- Homologous stellar models
- Comparing the homologous series with
observed parameters: mass-luminosity and luminosity-temperature
relations
Lecture 8: Polytropes and
simple models (powerpoint file)
- What is a simple stellar model
- Polytropic models
- Derivation of the Lane-Emden equation
- Analytical and computational solutions
of the Lane-Emden equation
- Comparison with real models
- How does a polytropic model of the Sun
compare with the detailed Standard Solar model?
Lecture 9:
General stellar evolution (powerpoint
file)
- Computation of realistic stellar models
- Examples of results from stellar
evolution calculations
- Visualising stellar evolution with
SCLOCK
- Discussions of the differences between
low, intermediate and high mass stars
- Influence of input physics –
convection and overshooting
- Comparisons of the stellar codes with
observations: observational HR diagrams of stellar
clusters
Lecture 10: Evolution of
solar-type stars (powerpoint file)
- The main-sequence lifetime
- End of H-burning, ascent of the red
giant branch.
- Tip of the red giant branch and the He
flash
- He-burning on the AGB
- Pulsations and formation of Planetary
nebulae
Assignment Class I
Discussion of the assignment (tbd)
Lecture 11: Evolution of high
mass stars (powerpoint file)
- Typical evolution of 10, 25 and 100
solar mass stars
- H-burning and main-sequence lifetimes
- The Eddington luminosity
- Post main-sequence evolution
- Structure of massive stars before
collapse
- The influence of mass-loss: formation
of Wolf-Rayet stars
- The IMF – massive stars are
rare
Lecture 12: End states of
stars: white dwarfs, neutron
stars and black holes (powerpoint
file)
- White dwarfs – the final state of
low and intermediate mass stars
- Electron degeneracy pressure
- Chandrasekhar limit
- Neutron stars and pulsars
- Very massive stars and black holes
- Observed masses for neutron stars and
black holes
Lecture 13: Supernovae
I (powerpoint
file)
- What is a supernova – historical note
- The different types of supernovae
observed
- Typical lightcurves and spectra of
supernovae
- Massive stars and core-collapse
supernovae
- Stellar evolution and progenitor stars
Lecture 14: Supernovae II
(powerpoint
file)
- Type Ia supernovae - thermonuclear
explosions
- Progenitor models for type Ia SNe
- Supernova surveys and the accelerating
Universe
- Detection of dark energy with Type Ia
SNe
Assignment Class II
Sample exam questions and various mathematical
problems to
aid understanding and learning.