The appearance or disappearance of a wide range of critical fluctuatio
ns following a sudden temperature change is investigated theoretically
. On large length scales a temperature step away from criticality gene
rates a nonequilibrium free field. For a step towards the critical poi
nt, the approach to equilibrium is characterized by an equilibration l
ength lambda(eq) that depends on time t. A power law for lambda(eq)(t)
similar to t(p) with p approximate to 0.32 is derived from scaling arg
uments. The theory predicts a power law approach of the temperature to
the new equilibrium with an exponent depending on whether the tempera
ture is initially increased or decreased.