Temporary HW: Difference between revisions
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<math> H=-J(s_1s_2 + s_2 s_3 + s_3 s_1) - F (s_1 + s_2 + s_3) </math> | <math> H=-J(s_1s_2 + s_2 s_3 + s_3 s_1) - F (s_1 + s_2 + s_3) </math> | ||
(a) Find partition function for this model. | (a) Find canonical partition function for this model. | ||
(b) Find average spin <math> \langle s \rangle </math>. | (b) Find average spin <math> \langle s \rangle </math>. | ||
Revision as of 12:07, 7 April 2011
Problem 1: Three Ising spins
Assume three spins 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 is give by:
(a) Find canonical partition function for this model.
(b) Find average spin .
(c) Find internal energy .
