Landau-Ginzburg
Order Parameter
F(m) = a(T)m² + bm⁴ + cm⁶ — first/second order transitions and tricritical point
Free Energy Coefficients
a(T) = a₀(T−T_c)
0.00
b (quartic coeff)
1.00
c (sextic coeff)
0.50
External field h
0.00
Phase Identification
Detecting...
m* =
0.000
2nd order: a>0→b>0
1st order: b<0, c>0
Tricritical: a=b=0, c>0
Physics
F = am² + bm⁴ + cm⁶ − hm
∂F/∂m = 0 → equilibrium
2nd order: m ~ (T_c−T)^β
β=1/2 (mean field)
1st order: jump in m
latent heat ≠ 0
Tricritical: b→0
β_tc=1/4