# User:Tohline/SphericallySymmetricConfigurations/IndexFreeEnergy

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# 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.

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 [itex]~(n_c,n_e) = (0,0)[/itex] … ✓ ⑧ Core-Envelope Structure with [itex]~(n_c,n_e) = (5,1)[/itex] … ✓ ⑨ Core-Envelope Structure with [itex]~(n_c,n_e) = (1,5)[/itex] … ✓ … Core-Envelope Structure with [itex]~(n_c,n_e) = (\tfrac{3}{2},3)[/itex] … ✓ … Limiting Masses — Summary

 © 2014 - 2021 by Joel E. Tohline |   H_Book Home   |   YouTube   | Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS | Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation