2. In the solid of Einstein, we may introduce a volume co- ordinate if we make the phenomenological assumption that the fundamental frequency w as a function of v = V/N is given by W = w (v) = wo – A ln Vo
2. In the solid of Einstein, we may introduce a volume co- ordinate if we make the phenomenological assumption that the fundamental frequency w as a function of v = V/N is given by W = w (v) = wo – A ln Vo
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Please use microcanonical assembly with multiplicity function, do not use partition function. Thanks.
Transcribed Image Text:2. In the solid of Einstein, we may introduce a volume co-
ordinate if we make the phenomenological assumption that the
fundamental frequency w as a function of v
V/N is given by
w = w (v) = wo
A ln
Vo
where wo, A, and v, are positive constants. Obtain expressions
for the expansion coefficient and the isothermal compressibility
of this model system.
*** Taking w as a function of v, w
stein's solid can be written as a function of energy and volume,
s = s (u, v). From the equations of state, it is straightforward to
obtain the expansion coefficient a and the compressibility KT.
w (v), the entropy of Ein-
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