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Topics in Statistic Mechanics

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Adv. Sta. Phy.Homework 3 Is<strong>in</strong>g Model Li,Zimeng PB06203182<br />

We get<br />

Partition function Z=<br />

where<br />

we replace lnZ with its largest term. We use Sterl<strong>in</strong> formula and get<br />

We can f<strong>in</strong>d when will the above equation gets its largest term by deriv<strong>in</strong>g it with<br />

respect to I and set it to zero, and we get<br />

We f<strong>in</strong>d I happens to connect with M by<br />

We can solve (2.1) by diagram method.See figure below<br />

(2.1)

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