For any ensemble the entropy can be computed by evaluating S/KB = -Σn In n where the sum is performed over all microstates. Prove rigorously that this expression gives the entropy both for the microcanonical case and for the canon- ical case.

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For any ensemble the entropy can be computed by evaluating
-ΣPn In Pn
n
S/KB
=
where the sum is performed over all microstates. Prove rigorously that this
expression gives the entropy both for the microcanonical case and for the canon-
ical case.
Transcribed Image Text:For any ensemble the entropy can be computed by evaluating -ΣPn In Pn n S/KB = where the sum is performed over all microstates. Prove rigorously that this expression gives the entropy both for the microcanonical case and for the canon- ical case.
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