A theoretical study is made of the process by which an antiferroelectric sm
ectic liquid crystal undergoes a field-induced transition to ferroelectric
alignment. We find that for cells of moderate thickness the initial departu
re from antiferroelectric alignment occurs as a continuous Freedericksz tra
nsition. The following transition from partial alignment to complete ferroe
lectric ordering may occur as either a first-order or continuous transition
, depending on the relative strength of some of the model parameters. The c
ase where the transition is continuous provides a possible mechanism for so
me recently observed thresholdless transitions in these systems. [S1063-651
X(99)01609-8].