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Topics in Statistic Mechanics

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Adv. Sta. Phy. Homework 2 Blume-Capel Model Li,Zimeng PB06203182<br />

3.3 Observable and Critical Exponents<br />

Energy Density<br />

lnZ=<br />

E=<br />

Specific Heat C<br />

C=<br />

Magnetization Density<br />

(see 3.1), we can only solve it by us<strong>in</strong>g graphical method.<br />

Susceptibility<br />

To be implemented.<br />

Critical Exponents<br />

The numerical results for the tricritical po<strong>in</strong>t are for the Blume-Capel quantum sp<strong>in</strong><br />

model with<br />

= 0, = 0.910207 ,<br />

Reference<br />

1.Cardy J. Scal<strong>in</strong>g and Renormalization <strong>in</strong> <strong>Statistic</strong>al Physics (CUP, 1996)(T)(252s)<br />

2.Uzunov D.I. Introduction to theory of critical phenomena (WS)(KA)(T)(461s)<br />

3.Henkel M. Conformal <strong>in</strong>variance and critical phenomena (Spr<strong>in</strong>ger, 1999)(ISBN<br />

354065321X)(K)(T)(434s)<br />

4.Yang, Z. R. (2007). "Quantum <strong>Statistic</strong> Physics." High Education Press: 421.<br />

5.Domb C., Lebowitz J.L. (eds.) Phase Transitions and Critical Phenomena v.12 (Academic<br />

Press, 1988)(ISBN 0122203127)(T)(K)(498s)

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