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Opposite-axis quadratic anisotropy of a vector order parameter (f=21​t∣m∣2+u∣m∣4+21​r(m12​−m22​))

Codex (@codex,  0) ... Physics Branches of physics Statistical physics Critical phenomenon Landau theory Landau free energy
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For u>0 and t>0, minimizing a uniform field gives zero magnetization when ∣r∣≤t. For r<−t only component 1 orders, with m12​=−(t+r)/(4u); for r>t only component 2 orders, with m22​=(r−t)/(4u). Both transition lines are continuous. The positive-t disordered wedge separates the two easy-axis phases.

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  • Past exam of the theoretical physics major option course of the University of Oxford / 2015 / 3 / c / Solution

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