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- 21:59, 8 June 2014 diff hist +1 m User:Tohline/SSC/BipolytropeGeneralization →Playing With One Example: Move punctuation inside "math" tags
- 21:58, 8 June 2014 diff hist −1 m User:Tohline/SSC/BipolytropeGeneralization →Explain Logic: Make a couple of minor text revisions
- 21:32, 8 June 2014 diff hist +481 User:Tohline/SSC/BipolytropeGeneralization →Construction Multiple Curves to Define a Free-Energy Surface: Entered data for nu = 0.5 curve's local free-energy maximum
- 21:24, 8 June 2014 diff hist +2,404 User:Tohline/SSC/BipolytropeGeneralization →Second Example: Give introductory discussion of the graphically identified free-energy maxima
- 20:43, 8 June 2014 diff hist 0 N File:ThreeFreeEnergyCurves.png current
- 20:43, 8 June 2014 diff hist +517 User:Tohline/SSC/BipolytropeGeneralization →Construction Multiple Curves to Define a Free-Energy Surface: Entered data for first energy maximum
- 20:21, 8 June 2014 diff hist +1,871 User:Tohline/SSC/BipolytropeGeneralization →Second Example: Filed in table with parameter values for 3 curves with interface-density ratio of 1/2
- 20:00, 8 June 2014 diff hist +1,663 User:Tohline/SSC/BipolytropeGeneralization Begin defining multiple free-energy surfaces at constant interface-density ratio
- 00:05, 7 June 2014 diff hist +1,804 User:Tohline/SSC/BipolytropeGeneralization →Second Example: Insert free-energy plot, along with introductory explanation
- 23:33, 6 June 2014 diff hist 0 N File:FreeEnergyExample.jpg current
- 22:10, 6 June 2014 diff hist +2,598 User:Tohline/SSC/BipolytropeGeneralization →Second Example: Enter data form Step #1 and Step #2 of second example
- 21:16, 6 June 2014 diff hist +2,318 User:Tohline/SSC/BipolytropeGeneralization →Second Example: Begin discussing quadratic equation solution for density ratio
- 20:56, 6 June 2014 diff hist +373 User:Tohline/SSC/BipolytropeGeneralization Begin "second example" subsection
- 20:38, 6 June 2014 diff hist +453 User:Tohline/SSC/BipolytropeGeneralization →Summary: Add alternate representation of "A"
- 00:07, 6 June 2014 diff hist −17 User:Tohline/SSC/BipolytropeGeneralization →Summary
- 22:16, 5 June 2014 diff hist −7 User:Tohline/SSC/BipolytropeGeneralization →Another Derivation of Free Energy: Fix factor of pi in potential energy term
- 22:14, 5 June 2014 diff hist −7 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Fix various factors of pi in the grav. pot. energy term
- 21:27, 5 June 2014 diff hist −4 User:Tohline/SSC/BipolytropeGeneralization →Summary: Remove factor of pi in some expressions involving Lambda
- 21:23, 5 June 2014 diff hist +1 User:Tohline/SSC/BipolytropeGeneralization →Another Derivation of Free Energy: Insert factor of pi into denominator of expressions for Lambda
- 21:21, 5 June 2014 diff hist −675 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Insert factor of pi in denominator of various expressions for Lambda
- 21:15, 5 June 2014 diff hist +3 User:Tohline/SSC/BipolytropeGeneralization →Review: Insert factor of pi in denominator of definition of Lambda
- 19:11, 5 June 2014 diff hist −2,605 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Correct sign on (1 + Lambda) definition of s_env; and delete long expression for free energy because it assumes P_i = P_ c a priori
- 19:00, 5 June 2014 diff hist +266 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Correct expression for normalized U_env
- 02:49, 4 June 2014 diff hist +7,644 User:Tohline/SSC/BipolytropeGeneralization →Playing With One Example: Finished laying out logical arguments to allow plotting of free-energy surfaces
- 01:05, 4 June 2014 diff hist +2,277 User:Tohline/SSC/BipolytropeGeneralization Begin discussion first numerical examples of free-energy curve
- 21:36, 2 June 2014 diff hist −109 User:Tohline/SSC/BipolytropeGeneralization →Understanding Free-Energy Behavior: Found missing factor of pi in original definition of Lambda
- 20:41, 2 June 2014 diff hist +357 User:Tohline/SSC/BipolytropeGeneralization →Understanding Free-Energy Behavior
- 20:35, 2 June 2014 diff hist −3 User:Tohline/SSC/BipolytropeGeneralization →Another Derivation of Free Energy: remove factor of pi previously introduced
- 20:33, 2 June 2014 diff hist +3 User:Tohline/SSC/BipolytropeGeneralization →Another Derivation of Free Energy: Insert missing factor of pi in denominator of definition of Lambda_eq
- 20:15, 2 June 2014 diff hist +586 User:Tohline/SSC/BipolytropeGeneralization →Check It: Proof!
- 20:12, 2 June 2014 diff hist +29 User:Tohline/SSC/Structure/BiPolytropes/Analytic0 0 →Equilibrium Condition: Add LambdaDeff span tag to critical equation
- 20:04, 2 June 2014 diff hist +5,051 User:Tohline/SSC/BipolytropeGeneralization →Summary: Attempt at checking derivation
- 21:55, 1 June 2014 diff hist +475 User:Tohline/SSC/BipolytropeGeneralization →Summary: Predicted behavior enunciated
- 21:46, 1 June 2014 diff hist +495 User:Tohline/SSC/BipolytropeGeneralization →Summary: Clean up layout of newly defined free-energy coefficients
- 17:24, 1 June 2014 diff hist +3,556 User:Tohline/SSC/BipolytropeGeneralization →Best of the Best: Summary section with various steps itemized
- 21:47, 31 May 2014 diff hist −594 User:Tohline/SSC/BipolytropeGeneralization →Another Derivation of Free Energy: Fixed a few math errors.
- 20:46, 31 May 2014 diff hist +4,334 User:Tohline/SSC/BipolytropeGeneralization →Best of the Best: Clarify s_env expression
- 18:43, 31 May 2014 diff hist +116 User:Tohline/H Book →Structure:: Add link to bipolytrope generalization of free energy analysis
- 00:36, 31 May 2014 diff hist +7,037 User:Tohline/SSC/BipolytropeGeneralization Create best-of-the-best section to summarize most useful derived expressions
- 19:23, 28 May 2014 diff hist +493 User:Tohline/SSC/BipolytropeGeneralization →Renormalize
- 18:20, 28 May 2014 diff hist +2,109 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Progress with free energy formulation
- 01:04, 28 May 2014 diff hist +861 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Finished determination of definitions of f_MW, s_env, and s_core
- 00:41, 28 May 2014 diff hist +3,474 User:Tohline/SSC/BipolytropeGeneralization →Renormalize: Finish renormalization of individual energy contributions
- 21:42, 27 May 2014 diff hist +889 User:Tohline/SSC/BipolytropeGeneralization →Virial Equilibrium and Stability Evaluation: Give final solution in terms of new renormalization
- 21:31, 27 May 2014 diff hist +4,202 User:Tohline/SSC/BipolytropeGeneralization →(0, 0) Bipolytropes: Finished derivation of renormalization expressions
- 22:41, 26 May 2014 diff hist +2,517 User:Tohline/SSC/BipolytropeGeneralization →Setup: Finished derivation?
- 21:10, 26 May 2014 diff hist +15 m User:Tohline/SSC/BipolytropeGeneralization →Setup: Change slightly the definition of rho_norm
- 21:00, 26 May 2014 diff hist +2,362 User:Tohline/SSC/BipolytropeGeneralization →Setup: Finished initial tedious normalization of free energy
- 18:51, 26 May 2014 diff hist +1,448 User:Tohline/SSC/BipolytropeGeneralization →Setup: More tedious manipulation
- 18:21, 26 May 2014 diff hist +726 User:Tohline/SSC/BipolytropeGeneralization →Setup: Begin tedious task of normalizing free-energy expression
