Clustering in generalized 1D Ising models
  The research of one-dimensional Ising model with the different number of neighbors and the different sign of the exchange integral were performed. Magnetization shows the transition from disorder to order (in finite systems) only at positive exchange integral $J$ but clustered order parameter describes the transition regardless of the sign of the exchange integral and the number of neighbors. 
P.D. Andriushchenko, K.V. Nefedev
cond-mat.stat-mech