A model for single-domain uniaxial ferromagnetic particles with high a
nisotropy, the Ising model, is studied. Recent experimental observatio
ns have been made of the probability that the magnetization has not sw
itched, P-NOT. Here an approach is described in which it is emphasized
that a ferromagnetic particle in an unfavorable field is, in fact, a
metastable system, and the switching is accomplished through the nucle
ation and subsequent growth of localized droplets. Nucleation theory i
s applied to finite systems to determine the coercivity as a function
of particle size and to calculate P-NOT. Both of these quantities are
modified by different boundary conditions, magnetostatic interactions,
and quenched disorder. (C) 1998 Elsevier Science B.V. All rights rese
rved.