SSC/Structure/BiPolytropes/FreeEnergy51 - Revision history

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

2023-11-06T17:10:31Z

Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)

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	=Free Energy of BiPolytrope with <~~math~~>~~(n_c~~, ~~n_e~~) = (5, 1)~~</math>~~=		=Free Energy of BiPolytrope with (n<sub>c</sub>, n<sub>e</sub>) = (5, 1)=
	{\| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black"		{\| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black"
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Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

2021-07-29T22:10:54Z

Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)

← Older revision		Revision as of 18:10, 29 July 2021
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	where, <math>~b_\eta</math> has been defined above in connection with our [[/SSC/Structure/BiPolytropes/FreeEnergy51#The_Envelope\|derivation of the envelope's mass profile]]. The desired integral over this pressure distribution therefore gives,		where, <math>~b_\eta</math> has been defined above in connection with our [[SSC/Structure/BiPolytropes/FreeEnergy51#The_Envelope\|derivation of the envelope's mass profile]]. The desired integral over this pressure distribution therefore gives,
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	<table border="0" cellpadding="5" align="center">		<table border="0" cellpadding="5" align="center">

Jet53man at 22:07, 29 July 2021

2021-07-29T22:07:46Z

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Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

2021-07-29T21:58:14Z

Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)

← Older revision		Revision as of 17:58, 29 July 2021
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	=Free Energy of BiPolytrope with <math>(n_c, n_e) = (5, 1)</math>=		=Free Energy of BiPolytrope with <math>(n_c, n_e) = (5, 1)</math>=
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			! style="height: 125px; width: 125px; background-color:white;" \|<font size="-1">[[H_BookTiledMenu#MoreModels\|<b>Free Energy<br />of<br />Bipolytropes</b>]]<br />(n<sub>c</sub>, n<sub>e</sub>) = (5, 1)</font>
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	Here we present a specific example of the equilibrium structure of a bipolytrope as determined from a free-energy analysis. The example is a bipolytrope whose core has a polytropic index, <math>n_c = 5</math>, and whose envelope has a polytropic index, <math>n_e = 1</math>. The details presented here build upon an [[SSC/BipolytropeGeneralizationVersion2\|overview of the free energy of bipolytropes that has been presented elsewhere]].		Here we present a specific example of the equilibrium structure of a bipolytrope as determined from a free-energy analysis. The example is a bipolytrope whose core has a polytropic index, <math>n_c = 5</math>, and whose envelope has a polytropic index, <math>n_e = 1</math>. The details presented here build upon an [[SSC/BipolytropeGeneralizationVersion2\|overview of the free energy of bipolytropes that has been presented elsewhere]].
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	==Preliminaries==		==Preliminaries==

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

2021-07-27T22:51:14Z

Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)

← Older revision		Revision as of 18:51, 27 July 2021
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	=Free Energy of BiPolytrope with <math>(n_c, n_e) = (5, 1)</math>=		=Free Energy of BiPolytrope with <math>(n_c, n_e) = (5, 1)</math>=

	Here we present a specific example of the equilibrium structure of a bipolytrope as determined from a free-energy analysis. The example is a bipolytrope whose core has a polytropic index, <math>n_c = 5</math>, and whose envelope has a polytropic index, <math>~n_e = 1</math>. The details presented here build upon an [[SSC/~~BipolytropeGeneralization_Version2~~\|overview of the free energy of bipolytropes that has been presented elsewhere]].		Here we present a specific example of the equilibrium structure of a bipolytrope as determined from a free-energy analysis. The example is a bipolytrope whose core has a polytropic index, <math>n_c = 5</math>, and whose envelope has a polytropic index, <math>n_e = 1</math>. The details presented here build upon an [[SSC/BipolytropeGeneralizationVersion2\|overview of the free energy of bipolytropes that has been presented elsewhere]].

	==Preliminaries==		==Preliminaries==

Jet53man: Created page with "FORCETOC =Free Energy of BiPolytrope with $(n_c, n_e) = (5, 1)$ = Here we present a specific example of the equilibrium structure of a bipolytrope as determined..."

2021-07-27T22:49:52Z

Created page with "__FORCETOC__ =Free Energy of BiPolytrope with <math>(n_c, n_e) = (5, 1)</math>= Here we present a specific example of the equilibrium structure of a bipolytrope as determined..."

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SSC/Structure/BiPolytropes/FreeEnergy51 - Revision history

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

Jet53man at 22:07, 29 July 2021

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

Jet53man: /* Free Energy of BiPolytrope with (n_c, n_e) = (5, 1) */

Jet53man: Created page with "__FORCETOC__ =Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)= Here we present a specific example of the equilibrium structure of a bipolytrope as determined..."

Jet53man: Created page with "FORCETOC =Free Energy of BiPolytrope with $(n_c, n_e) = (5, 1)$ = Here we present a specific example of the equilibrium structure of a bipolytrope as determined..."