- 5 Two Interacting Magnetic Moments In The Canonical Ensemble Consider Two Classical Magnetic Moments Characterized By 1 (72.39 KiB) Viewed 89 times
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5) (Two interacting magnetic moments in the canonical ensemble) Consider two classical magnetic moments characterized by three-dimensional unit vectors Si and S2. They interact via an exchange interaction with the Hamiltonian H = -JS1.S2 where J is a positive constant. (a) In the ground state, what do you expect the relative orientation of the two moments to be? (b) Use the canonical ensemble to calculate the partition function and the Helmholtz free energy (c) Determine average energy and heat capacity as functions of temperature. (d) At low temperatures, what is the average angle between the moments, and what is its standard deviation?