  The statistical mechanics of a two-state Ising spin-glass model with finite
random connectivity, in which each site is connected to a finite number of
other sites, is extended in this work within the replica technique to study the
phase transitions in the three-state Ghatak-Sherrington (or random Blume-Capel)
model of a spin glass with a crystal field term. The replica symmetry ansatz
for the order function is expressed in terms of a two-dimensional
effective-field distribution which is determined numerically by means of a
population dynamics procedure. Phase diagrams are obtained exhibiting phase
boundaries which have a reentrance with both a continuous and a genuine
first-order transition with a discontinuity in the entropy. This may be seen as
"inverse freezing", which has been studied extensively lately, as a process
either with or without exchange of latent heat.
