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

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(Begin tossing together figures illustrating Bonnor-Ebert sphere turning point)
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===Bonnor-Ebert Sphere===
===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.  
[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.  



Revision as of 17:32, 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. Ebert (1955) and 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.

Figure 1: Bonnor's P-V Diagram

Bonnor (1956, MNRAS, 116, 351)
P-V Diagram Using Emden's (1907) data


Figure 2: Ebert's and Whitworth's P-R Diagrams

Ebert (1955) Figure 2
P-R Diagram Using Emden's (1907) data
Whitworth (1981) Figure 1b



Whitworth's (1981) Isothermal Free-Energy Surface

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