Index to Free-Energy Analyses

I have put this index together in an effort to help me, first find, then keep track of all chapters that discuss the use of a free-energy expression and/or virial equilibrium constructs to analyze the structure and stability of spherically symmetric configurations.

First, let's explain what the topic is of each chapter that is currently (up to July 2016) in the template titled, LSU_HBook_SSC_Structure.

① & ② SSC VirialEquilibrium UniformDensity (Isolated and Embedded)
③ SSC Virial Polytropes (Isolated)
④ SSC Virial PolytropesEmbeddedOutline (w/ Movie)
⑤ SSC Virial Isothermal (Isolated)
⑥ SphericallySymmetricConfigurations Virial (Bounded Isothermal)
⑦ SSC BipolytropeGeneralization_Version2 (Overview)
⑧ SSC Structure BiPolytropes FreeEnergy0_0 <math>~(n_c,n_e) = (0,0)</math>
⑨ SSC Structure BiPolytropes FreeEnergy5_1 <math>~(n_c,n_e) = (5,1)</math>

Solution Strategies:

Detailed Force-Balance
(Introduction)

Virial Equilibrium
(Introduction)

Example Solutions:
Uniform-density sphere
	Isolated …	✓	①
	Embedded in an External Medium …	✓	②
Polytropes
	Isolated …	✓	③
	Embedded in an External Medium …	✓	④ 🎦
Isothermal sphere
	Isolated …	✓	⑤
	Embedded in an External Medium (Bonnor-Ebert Sphere) …	✓	⑥
Zero-temperature White Dwarf — Overview Power-law density distribution — Overview
Other Analytically Definable Models		✓	…
BiPolytropes (also referred to as Composite Polytropes)		Overview	Overview ⑦
	Core-Envelope Structure with <math>~(n_c,n_e) = (0,0)</math> …	✓	⑧
	Core-Envelope Structure with <math>~(n_c,n_e) = (5,1)</math> …	✓	⑨
	Core-Envelope Structure with <math>~(n_c,n_e) = (1,5)</math> …	✓	…
	Core-Envelope Structure with <math>~(n_c,n_e) = (\tfrac{3}{2},3)</math> …	✓	…
Limiting Masses — Summary

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Index to Free-Energy Analyses

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