The electron localization property of a random chain changing under the inf
luence of a constant electric field has been studied. We have adopted the m
ultifractal scaling formalism to explore the possible localization behavior
in the system. We observe that the possible localization behavior with the
increase of the electric field is not systematic and shows strong instabil
ities associated with the local probability variation over the length of th
e chain. The multifractal scaling study captures the localization aspects a
long with, the strong instability when the electric field is changed by inf
initesimal steps for a reasonably large system size. (C) 1999 Published by
Elsevier Science B.V. All rights reserved.