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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>
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<li>Two key graphical summaries:<ul>
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<li>[[User:Tohline/SSC/Virial/PolytropesEmbedded/SecondEffortAgain#Plotting_Concise_Mass-Radius_Relation|For Pressure-truncated Polytropes]]</li>
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<li>[[User:Tohline/SSC/Structure/BiPolytropes/Analytic5_1#Stability_Condition|For Bipolytropes with]] <math>~(n_e,n_c) = (5,1)</math></li>
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</ul>
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</li>
</ul>
</ul>

Revision as of 14:42, 11 July 2016


Contents

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 ~(n_c,n_e) = (0,0)
        Core-Envelope Structure with ~(n_c,n_e) = (5,1)
        Core-Envelope Structure with ~(n_c,n_e) = (1,5)   …  
        Core-Envelope Structure with ~(n_c,n_e) = (\tfrac{3}{2},3)   …  


Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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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

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