We find that the conventional method to calculate the soft-mode frequency o
f the pseudospin model is incorrect, and present a valid modified method. I
t is demonstrated that the conventional method does not show the soft-mode
frequency going to zero at a critical temperature in the presence of random
internal fields, while the frequency calculated by our modified method goe
s to zero in random fields at a critical temperature. For the field-induced
phase transition relaxor ferroelectrics, the soft-mode frequency decreases
to zero at the first-order phase transition temperature though the symmetr
y has been destroyed at high temperatures under an external field. (C) 2001
American Institute of Physics.