Topics in Statistic Mechanics
Topics in Statistic Mechanics
Topics in Statistic Mechanics
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Adv. Sta. Phy.Homework 3 Is<strong>in</strong>g Model Li,Zimeng PB06203182<br />
Is<strong>in</strong>g Model<br />
Edited by Li, Zimeng<br />
Contents:<br />
1. Describe the exact solution of Is<strong>in</strong>g model is 1D<br />
1.1 Tak<strong>in</strong>g no regard of outfield<br />
1.2 Consider<strong>in</strong>g Outfield<br />
2. The exact solution of the critical po<strong>in</strong>t on the square lattice<br />
3. Summarize the critical exponent for d>2<br />
4. Summarize the generalization of Is<strong>in</strong>g model to Potts model<br />
4.1 Ord<strong>in</strong>ary Potts model<br />
4.2 Chiral Potts model<br />
4.3 Use duality relation to locate the critical po<strong>in</strong>t of the ord<strong>in</strong>ary Potts model on<br />
square lattice<br />
1. Describe the exact solution of Is<strong>in</strong>g model is 1D<br />
1.1 Tak<strong>in</strong>g no regard of outfield<br />
[1]Tak<strong>in</strong>g free border condition<br />
Def<strong>in</strong>e<br />
,then<br />
So, Z=<br />
Correlation Function:G[N]=<<br />
is correlation length,<br />
Thus, we can plot the relation of correlation function and r or N
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