# lec10 - MIT OpenCourseWare http/ocw.mit.edu 8.044...

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Unformatted text preview: 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 . THEOREM A "predictor" of equilibrium h(X, Y, ...) exists • only in equilibrium • state variable • many states, same h • different systems, different functional forms • value the same if systems in equilibrium h(X, Y) Y X locus of constant h 8.044 L9B7 E m p i rical Temperature: t P 1 Y 1 low density gas PV/N = constant 2 2 PV/N = constant' X V 8.044 L10B1 we could possible alternative • Define t = c g PV/N t' = c g ' (PV/N) α • Use to find isotherms in other systems • Then in a simple paramagnet t = c m (M/H)-1 t' = c m ' (M/H)- α Many possible choices for t 8.044 L10B2a 8.044 L10B2b PV = Nkt → t = PV/Nk 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 P V PV = constant P V t t' = (PV/Nk) 2 8.044 L10B2c PV = constant P V t' 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 P V 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 8.044 L10B2d t'' = PV/Nk PV = constant P V t'' P V 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 8.044 L10B2e M = cH/t → t = cH/M H M H/M = constant H M t 0.20....
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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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lec10 - MIT OpenCourseWare http/ocw.mit.edu 8.044...

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