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4. [6 points) Generalize the previous exercise to a system that has 12 states; the probability of the system being in a
Posted: Thu May 12, 2022 7:56 am
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- 4 6 Points Generalize The Previous Exercise To A System That Has 12 States The Probability Of The System Being In A 1 (64.17 KiB) Viewed 39 times
4. [6 points) Generalize the previous exercise to a system that has 12 states; the probability of the system being in a particular state is Pi. The entropy is defined as 12 S = -kB Pi In Pi i=1 - Show that the entropy is maximum when Pi = 1/2 using the method of Lagrange multipliers to impose the condition that the probabilities sum to one. Hint: This derivation is identical to what's done in Section 15.1 but without the B' term (i.e., set B' = 0).