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Lecture 22 - Now look at the eqn of state(h 0 define Tc T h...

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Now look at the eqn. of state ( 0) h define / c T T tanh tanh / tanh 1 tanh / tanh tanh( ) tanh 1 tanh( ) B B B B h m m k T h k T m h k T m h m m k T m m (Note that is not small!) Then for small h and m we can expand the tanh -function as 3 tanh 3 x x x . 3 3 3 1 3 B m m m h k T m m m 3 3 2 (1 ) 1 3 m m m 3 3 2 3 1 B h m m k T Equation of State 1) Set 0 h to study spontaneous magnetization 3 2 2 2 3 0 1 3 1 1 3 1 (note m m m   0) c T T 2 (1 ) 3 1 3 3 3 (2) 1 1 1 1 3 define 1 c c c c c c c c c T T T T T T T T
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