User:Tohline/SSC/FreeEnergy/Equilibrium Sequence Instabilities

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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

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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