Assuming that the free energy of a magnetic system has an expression in the order parameter M of the form F(M,T) = a (T-Tc) M2 + b M4 + c M6, with a, b,c >0. As the temperature is lowered below Tc, the system undergoes a phase transition. The behaviour of the order parameter just below the transition, where (T- Tc) is very small, is best described by?

1
\(M \propto (T_c -T)^{-1} \)
2
\(M \propto (T_c -T)^{1/2} \)
3
\(M \propto (T_c -T)^{-1/2} \)
4
\(M \propto (T_c -T) \)

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