Remanent magnetization in a random antiferromagnetic Ising chain

We have studied the dynamics of a random antiferromagnetic Ising chain with exchange probability law, $P\left(J\right)=(1-\alpha )J^{-\alpha }(0<\alpha <1)$, both analytically and numerically. At low temperatures we find remanent magnetization, decaying slowly (nonexponentially) with time. When all spins are aligned, however, the remanence is identically zero. The relevance of these results to the recent dynamic experiments on quindinium ditetracyanoquinodimethane [Qn${\mathrm{}\left(\mathrm{TCNQ}\right)\mathrm{}}_2$] is discussed.