 97463 Kuelske, C.
 Metastates in disordered mean field models II:
The Superstates
(201K, PS)
Aug 30, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

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).
 Files:
97463.ps