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">&#x2467;</font> &nbsp;[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy0_0#Free_Energy_of_BiPolytrope_with|SSC Structure BiPolytropes FreeEnergy0_0]] <math>~(n_c,n_e) = (0,0)</math></li>
   <li><font size="+1">&#x2467;</font> &nbsp;[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy0_0#Free_Energy_of_BiPolytrope_with|SSC Structure BiPolytropes FreeEnergy0_0]] <math>~(n_c,n_e) = (0,0)</math></li>
   <li><font size="+1">&#x2468;</font> &nbsp;[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy5_1#Free_Energy_of_BiPolytrope_with|SSC Structure BiPolytropes FreeEnergy5_1]] <math>~(n_c,n_e) = (5,1)</math></li>
   <li><font size="+1">&#x2468;</font> &nbsp;[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy5_1#Free_Energy_of_BiPolytrope_with|SSC Structure BiPolytropes FreeEnergy5_1]] <math>~(n_c,n_e) = (5,1)</math></li>
<li>Two key graphical summaries:<ul>
<li>[[User:Tohline/SSC/Virial/PolytropesEmbedded/SecondEffortAgain#Plotting_Concise_Mass-Radius_Relation|For Pressure-truncated Polytropes]]</li>
<li>[[User:Tohline/SSC/Structure/BiPolytropes/Analytic5_1#Stability_Condition|For Bipolytropes with]] <math>~(n_e,n_c) = (5,1)</math></li>
</ul>
</li>
</ul>
</ul>



Revision as of 21:42, 11 July 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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