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 />
Thus we can proof the self-duality relation<br />
where<br />
(4.3.2)<br />
Any s<strong>in</strong>gularity occurr<strong>in</strong>g <strong>in</strong> a thermodynamic quantity at a critical po<strong>in</strong>t<br />
is mapped<br />
through the duality transformation to another coupl<strong>in</strong>g .And the critical po<strong>in</strong>t<br />
must be at the fixed po<strong>in</strong>t of the duality transformation. We thus solve the fixed po<strong>in</strong>t of<br />
(4.3.2) and get<br />
The critical po<strong>in</strong>t is thus at<br />
Reference<br />
1.Zhou,Z.F., Chao,L.Z.(2008). "Thermology, Thermodynamics and <strong>Statistic</strong> Physics"<br />
Science Press:231.<br />
2.Yang, Z. R. (2007). "Quantum <strong>Statistic</strong> Physics." High Education Press: 421.<br />
3.Henkel M. Conformal <strong>in</strong>variance and critical phenomena (Spr<strong>in</strong>ger, 1999)(ISBN<br />
354065321X)(K)(T)(434s)
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