Difference between revisions of "User:Tohline/SSC/FreeEnergy/Equilibrium Sequence Instabilities"

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This information extracted from an [[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|accompanying chapter on the Bonnor-Ebert sphere]].
This information extracted from an [[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|accompanying chapter on the Bonnor-Ebert sphere]].
[http://adsabs.harvard.edu/abs/1955ZA.....37..217E Ebert] (1955) and [http://adsabs.harvard.edu/abs/1956MNRAS.116..351B Bonnor] (1956) are credited with constructing the first such models and, most significantly, discovering that, for any specified sound speed and applied external pressure, there is a mass above which no equilibrium configuration exists.
 


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'''Figure 1: Bonnor's P-V Diagram'''
Figures from (left) [http://adsabs.harvard.edu/abs/1955ZA.....37..217E Ebert (1955)] and (right) [http://adsabs.harvard.edu/abs/1956MNRAS.116..351B Bonnor (1956)]  
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[[File:Bonnor1956Fig1reproduced.jpg|400px|center|Bonnor (1956, MNRAS, 116, 351)]]
<!-- [[Image:AAAwaiting01.png|400px|center|Bonnor (1956, MNRAS, 116, 351)]] -->
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[[File:BonnorFig1usingEmdenData.jpg|400px|center|P-V Diagram Using Emden's (1907) data]]
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'''Figure 2:  Ebert's and Whitworth's P-R Diagrams'''
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[[File:EbertFig2Title.jpg|250px|center|Ebert (1955) Figure 2]]
[[File:EbertFig2Title.jpg|250px|center|Ebert (1955) Figure 2]]
<!-- [[Image:AAAwaiting01.png|250px|center|Ebert (1955) Figure 2]] -->
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[[File:EbertFig2UsingEmdenData2.jpg|250px|center|P-R Diagram Using Emden's (1907) data]]
[[File:Bonnor1956Fig1reproduced.jpg|400px|center|Bonnor (1956, MNRAS, 116, 351)]]
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<!-- [[Image:AAAwaiting01.png|400px|center|Bonnor (1956, MNRAS, 116, 351)]] -->
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[[File:WhitworthFig1bFlipped.jpg|250px|center|Whitworth (1981) Figure 1b]]
<!-- [[Image:AAAwaiting01.png|250px|center|Whitworth (1981) Figure 1b]] -->
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Revision as of 19:20, 24 September 2016


Instabilities Associated with Equilibrium Sequence Turning Points

The discussion presented here is supported by detailed reviews and new derivations presented in the following associated chapters:


Whitworth's (1981) Isothermal Free-Energy Surface
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Introduction

Bonnor-Ebert Sphere

This information extracted from an accompanying chapter on the Bonnor-Ebert sphere.


Figures from (left) Ebert (1955) and (right) Bonnor (1956)

Ebert (1955) Figure 2
Bonnor (1956, MNRAS, 116, 351)



Whitworth's (1981) Isothermal Free-Energy Surface

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