Difference between revisions of "User:Tohline/SphericallySymmetricConfigurations/IndexFreeEnergy"

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(→‎Index to Free-Energy Analyses: Provide index links to two key graphical summaries)
 
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   <li><font size="+1">&#x2462;</font> &nbsp;[[User:Tohline/SSC/Virial/Polytropes#Isolated_Nonrotating_Adiabatic_Configuration|SSC Virial Polytropes]] (Isolated)</li>
   <li><font size="+1">&#x2462;</font> &nbsp;[[User:Tohline/SSC/Virial/Polytropes#Isolated_Nonrotating_Adiabatic_Configuration|SSC Virial Polytropes]] (Isolated)</li>
   <li><font size="+1">&#x2463;</font> &nbsp;[[User:Tohline/SSC/Virial/PolytropesEmbeddedOutline#Virial_Equilibrium_of_Embedded_Polytropic_Spheres|SSC Virial PolytropesEmbeddedOutline]] (w/ Movie)</li>
   <li><font size="+1">&#x2463;</font> &nbsp;[[User:Tohline/SSC/Virial/PolytropesEmbeddedOutline#Virial_Equilibrium_of_Embedded_Polytropic_Spheres|SSC Virial PolytropesEmbeddedOutline]] (w/ Movie)</li>
  <li>[[User:Tohline/SSC/FreeEnergy/PolytropesEmbedded|Free Energy of Truncated Polytropes]] &nbsp; &nbsp; <math>~\Leftarrow</math> &nbsp; &nbsp; This chapter contains key summary expressions used in the PowerPoint presentation (see especially the "Summary" subsection)</li>
   <li><font size="+1">&#x2464;</font> &amp; <font size="+1">&#x2465;</font> &nbsp;[[User:Tohline/SSC/Virial/Isothermal|SSC Virial Isothermal]] (Isolated and Bounded)</li>
   <li><font size="+1">&#x2464;</font> &amp; <font size="+1">&#x2465;</font> &nbsp;[[User:Tohline/SSC/Virial/Isothermal|SSC Virial Isothermal]] (Isolated and Bounded)</li>
   <li><font size="+1">&#x2466;</font> &nbsp;[[User:Tohline/SSC/BipolytropeGeneralization_Version2#Bipolytrope_Generalization|SSC BipolytropeGeneralization_Version2]] (Overview)</li>
   <li><font size="+1">&#x2466;</font> &nbsp;[[User:Tohline/SSC/BipolytropeGeneralization_Version2#Bipolytrope_Generalization|SSC BipolytropeGeneralization_Version2]] (Overview)</li>

Latest revision as of 01:11, 21 November 2016


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.

Whitworth's (1981) Isothermal Free-Energy Surface
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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 …
    Embedded in an External Medium …
  • Polytropes
    Isolated …
    Embedded in an External Medium …    🎦
  • Isothermal sphere
    Isolated …
    Embedded in an External Medium (Bonnor-Ebert Sphere) …
  • Zero-temperature White Dwarf — Overview
  • Power-law density distribution — Overview
  • Other Analytically Definable Models
  …  
  • BiPolytropes (also referred to as Composite Polytropes)
Overview Overview
        Core-Envelope Structure with <math>~(n_c,n_e) = (0,0)</math> …
        Core-Envelope Structure with <math>~(n_c,n_e) = (5,1)</math> …
        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> …   …  


Whitworth's (1981) Isothermal Free-Energy Surface

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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