14_-_Degenerate_Stars - 14 Degenerate Matter & White...

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Unformatted text preview: 14 Degenerate Matter & White Dwarfs Fermi ~1940s 2 The Plan Why 20 and not 12? The Non-relativistic case The Relativistic case Supernova Type Ia 3 E Fermi is not the average, {KE} { } 2 2 5 3 2 2 2 3 5 3 1 4 2 8 3 1 3 5 2 5 4 8 3 Using rather than brings the 5 pressure to: 1 3 20 The correct value for the pressure. F F P Fermi P Fermi Fermi p p dp m p KE E p m p dp E E h P n m = = = = 4 Approach to Degenerate Stars Similar approach, balance gravity with an internal pressure. Gravity vs Ideal gas for normal stars Degenerate electron gas for WD Degenerate neutron gas for NS 5 Confronting Gravity with a Degenerate Gas 2 2 2 3 5 3 4 * 3 * * 5 3 2 2 2 3 * * 4 3 * * 1 3 = 20 2 1 4 2 2 4 2 3 1 3 = 4 20 2 3 gravity DG e e e e p e p e p e e p GM h P P n R m n n n m n m n m M n m R M GM h P m R R m = = = = = = = =...
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This note was uploaded on 04/05/2009 for the course ASTRO 3332 taught by Professor Houck,j during the Spring '09 term at Cornell University (Engineering School).

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14_-_Degenerate_Stars - 14 Degenerate Matter & White...

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