At an ordinary zero-field continuous phase transition, the positive quartic coefficient remains nonzero while . Approaching from the ordered side therefore sends the variable in the tricritical crossover scaling form to , rather than to zero. With the dimensionless minimizer obeys , so
At that stationary point, substitution gives . Its large-quartic asymptotic of tricritical scaling is consequently , and
If crosses zero linearly with temperature, this is quadratic in , giving a finite heat capacity jump rather than a power divergence. Therefore
For locally constant and slope , the leading singular heat capacity jump from this term is . Treating as a nonzero constant while would incorrectly assign the tricritical exponent to this ordinary transition.