Temporary HW: Difference between revisions

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==Problem 1: Three Ising spins ==
Assume three spins <math> s_1, s_2, s_3 </math> are arranged in an equilateral triangle with each spin interacting with its two neighbors. The energy expression for the Ising model in an external magnetic field <math> H </math> is give by:


<math> H=-J(s_1s_2 + s_2 s_3 + s_3 s_1) - F (s_1 + s_2 + s_3) </math>
(a) Find canonical partition function for this model.
(b) Find average spin <math> \langle s \rangle </math>.
(c) Find internal energy <math> E </math>.
==Problem 2: Spin-spin correlation function in the Ising model ==
==Problem 3: Mean-field theory of the Heisenberg model of ferromagnetism ==

Latest revision as of 15:48, 3 May 2011