We analyze this free energy functional as follows: (i) For T > T 0 , the η η 2 and η η 6 terms are concave upward for all η η , while the η η 4 term is concave downward. Thus for sufficiently high temperatures F is concave upward for all η η , and the equilibrium solution is η η = 0 . (ii) For T < T 0 , both the η η 2 and η η 4 terms are negative, so η η = 0 is a local maximum, and the minimum of F is at some non-zero value ± ± η η 0 ( T ) , with F ( T 0 , η η 0 ( T 0 ) ) < 0 . (iii) For T just above T 0 , η η = 0 turns into a local minimum, but the minimum at η η 0 ( T ) continues to be the global minimum since it has a lower free energy. It follows that as the temperature is raised above T 0 , the global minimum cannot continuously evolve from η η 0 ( T ) to 0. Rather, at some intermediate temperature T ∗ ∗ , the minima at η η 0 ( T ∗ ∗ ) and η η = 0 must become degenerate. For T > T ∗ ∗ , the global minimum will jump discontinuously from η η 0 ( T ∗ ∗ ) to 0.