We measure the persistence exponent in a phase separating two-dimensional s
pin system with non-conserved dynamics quenched in a region with four coexi
sting stripe phases. The system is an Ising model with nearest neighbor, ne
xt-to-the-nearest neighbor and plaquette interactions. Due to the particula
r nature of the ground states, the order parameter is defined in terms of b
locks of spins. Our estimate of the persistence exponent, theta = 0.42, dif
fers from those of the two-dimensional Ising and four state Potts models. O
ur procedure allows the study of persistence properties also at finite temp
erature T: our results are compatible with the hypothesis that theta does n
ot depend on T below the critical point. (C) 1999 Published by Elsevier Sci
ence B.V. All rights reserved.