**
Below is the ascii version of the abstract for 97-463.
The html version should be ready soon.**Kuelske, C.
Metastates in disordered mean field models II:
The Superstates
(201K, PS)
ABSTRACT. We continue to investigate the size dependence of disordered mean
field models with finite local spin space in more detail, illustrating
the concept of `superstates', as recently proposed by Bovier and
Gayrard. We discuss various notions of convergence for the behavior
of the paths $\left(t\rightarrow \mu_{[t N]}(\eta)\right)_{t\in (0,1]}$
in the thermodynamic limit $N\uparrow\infty$. Here $\mu_n(\eta)$ is
the Gibbs measure in the finite volume $\{1,\dots,n\}$ and $\eta$
is the disorder variable. In particular we prove refined convergence
statements in our concrete examples, the Hopfield model with finitely
many patterns (having continuous paths) and the Curie Weiss Random
Field Ising model (having singular paths).