Regarding (1), check out the Dyson-Ising model [Existence of a phase-transition in a one-dimensional Ising ferromagnet, F. Dyson, ... ... <看更多>

Th Ising model. 37K views 5 years ago ... Understanding phase transition in statistical mechanics ... Transfer Matrices: 1D Ising Model. ... <看更多>

The one dimensional (1D) Ising model does not exhibit the phenomenon of phase transition while higher dimensions do. This can be argued based on arguments, ... ... <看更多>