Statistical Mechanics of Systems of Unbounded Spins

@inproceedings{Lebowitz2004StatisticalMO,
  title={Statistical Mechanics of Systems of Unbounded Spins},
  author={Joel L Lebowitz},
  year={2004}
}
We develop the statistical mechanics of unbounded rc-component spin systems on the lattice Z interacting via potentials which are superstable and strongly tempered. We prove the existence and uniqueness of the infinite volume free energy density for a wide class of boundary conditions. The uniqueness of the equilibrium state (whose existence is established in general) is then proven for one component ferromagnetic spins whose free energy is differentiable with respect to the magnetic field. 
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