Statistical Mechanics of Systems of Unbounded Spins

  title={Statistical Mechanics of Systems of Unbounded Spins},
  author={Joel L Lebowitz},
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. 
Highly Cited
This paper has 25 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
20 Citations
6 References
Similar Papers


Publications referenced by this paper.
Showing 1-6 of 6 references

The P(φ) Euclidean (quantum) field theory

  • B. Simon
  • Princeton, N.J.: Princeton University Press 1974…
  • 1975
Highly Influential
8 Excerpts


  • D. Ruelle
  • math. Phys. 12, 127—159
  • 1970
Highly Influential
7 Excerpts


  • C. Fortuin, P. Kasteleyn, Ginibre
  • math. Phys: 22, 89—103
  • 1971


  • R. L. Dobrushin
  • Anal. Ego Pril. 2, 31 (1968); 2, 44
  • 1968
1 Excerpt


  • T. D. Lee, C. N. Yang
  • Rev. 87, 410—419
  • 1952
1 Excerpt

Probability estimates for continuous spin systems

  • D. Ruelle

Similar Papers

Loading similar papers…