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The probability of a system being in the ith mi- crostate is BE P₁ = e/Z, (14.56) where E, is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/KB = In Z+BU, where U=PE, is the internal energy. (14.57)

The probability of a system being in the ith mi- crostate is BE P₁ = e/Z, (14.56) where E, is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/KB = In Z+BU, where U=PE, is the internal energy. (14.57)

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The probability of a system being in the ith mi- crostate is P₁ = e/Z, (14.56) where E is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/kB = In Z+BU, where U=PE is the internal energy. (14.57)
Transcribed Image Text:The probability of a system being in the ith mi- crostate is P₁ = e/Z, (14.56) where E is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/kB = In Z+BU, where U=PE is the internal energy. (14.57)
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