# lec15 - 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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Microcanonical: E ﬁxed + equal a priori probabilities microscopic probability densities [S.M.] Together with the deﬁnition of entropy temperature scale and 2 ND law inequalities [Ther- modynamics] 8.044 L15B1
S 0 ( 3 4 · 7) · 2 ND Law d dS 1 /Q 1 (3 6 · 5) T · Quasi-static means arbitrarily close to equilibrium. Necessary for work diﬀerentials to apply Required for = in above 2 ND law relations 8.044 L15B2

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± ² 7. Entropy as a Thermodynamic Variable ∂S 1 /W =0 T gives us T ∂E d Other derivatives give other thermodynamic variables. PdV d /W = S dA X i dx i + HdM + E d P + ··· i F dL 8.044 L15B3
We chose to use the extensive external variables (a complete set) as the constraints on Ω. Thus

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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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lec15 - MIT OpenCourseWare http/ocw.mit.edu 8.044...

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