lec36 - MIT OpenCourseWare http:/ocw.mit.edu 8.044...

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MIT OpenCourseWare http://ocw.mit.edu 8.044 Statistical Physics I Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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± Review Paramagnet: a collection of non-interacting magnetic moments Quantum Mechanics µ = g J µ B J ± 2 J +1 levels The topic was saved until the last because it is subtle. First J =1 / 2, Microcanonical: S ( M ) M ( T, H ) 8.044 L36B1
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Second J =1 / 2, Canonical: p ( m J ) <µ> M ( T,H ) SATURATION M T CURIE LAW: M 1/T µ N Third J> 1 / 2, Canonical: <µ> M ( T,H ) Z = Z ( η = B H/kT ) 8.044 L36B2
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± ± ²³ ´ ± ²³ ´ So what’s the problem? < H > S. M. = U Thermo U assembly +( ± M ) position (for d = H ± /W = HdM ) · 1 ∂Z 1 dZ ∂η < H > = = = HM Z ∂β H Z dη ∂β H M/gµ B B H 8.044 L36B3
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Entropy of a Quantum Paramagnet When is kT ln Z = F ? How is a paramagnet like a sponge?
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This note was uploaded on 11/08/2011 for the course PHYSICS 8.004 taught by Professor Staff during the Spring '08 term at MIT.

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lec36 - MIT OpenCourseWare http:/ocw.mit.edu 8.044...

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