Statistical Physics. Microcanonical Ensemble. 4.2 In the solid of Einstein, we may introduce a volume coordinate ifwe make the phenomenological assumption that the fundamental fre-quency w as a function of v = V/N is given byw =w (v) = w. – A lnVowhere wo, A, and v, are positive constants. Obtain expressions forthe expansion coefficient and the isothermal compressibility of thismodel system.

2 In the solid of Einstein, we may introduce a volume coordinate if we make the phenomenological assumption that the fundamental fre- V/N is given by quency w as a function of v = (:) w =w (v) = wo – A ln where wo, A, and v, are positive constants. Obtain expressions for the expansion coefficient and the isothermal compressibility of this model system.

2 In the solid of Einstein, we may introduce a volume coordinate if we make the phenomenological assumption that the fundamental fre- V/N is given by quency w as a function of v = (:) w =w (v) = wo – A ln where wo, A, and v, are positive constants. Obtain expressions for the expansion coefficient and the isothermal compressibility of this model system.