Lecture11-06.2-Ideal_Gas-Classical_limit

Lecture11-06.2-Ideal_Gas-Classical_limit - 1 Last time...

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Unformatted text preview: 1 Last time Fermions: Pauli exclusion principle Bosons: no limitation of occupancy Fermi-Dirac Distribution Function Bose-Einstein Distribution Fermi level chemical potential ( ) Fermi energy (0) Classical limit gives ideal gas result Density of States 3D case: Today Chapter 6 (part 2) Ideal Gas: Classical limit Classical Limit, fermions and bosons: Free energy Pressure Internal Energy Heat Capacities: C V and C V Ideal gas with internal degrees of freedom LECTURE 11 2 Fermions and Bosons - >> Free energy and chemical potential ( ) , , , V F N V N ( ) , , , , , V N N V F F F dF V N d dV dN V N = + + ( ) , , dF V N d pdV dN = -- + L e c t u r e 8 ( ) ( ) , , , , , V F dF V N dN N V dN N = = Constant V, : ( ) ( ) , , , , N F V N N V dN = 3 Free energy Constant V, : ( ) ( ) , , , , N F V N N V dN = Ideal gas: n N V = log Q N n V = ( ) log log Q N n V =- log Q n n = log log xdx x x x =- Use this constant ( ) log log N N Q NdN n V dN =- ( ) log log N Q N N N n V N =-- ( ) log log Q N N N N n V =-- ( ) log Q N N n V N =- Ideal Gas Free Energy Pressure ( ) , , , , , V N N V F F F dF V N d dV dN V N = + + ( ) , , dF V N d pdV dN = -- + L e c t u r e 8 , N F p V = - ( ) log 1...
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This note was uploaded on 12/14/2010 for the course PHYSICS 416 taught by Professor Savikhin during the Spring '10 term at Purdue University-West Lafayette.

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Lecture11-06.2-Ideal_Gas-Classical_limit - 1 Last time...

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