Advertisement

Journal of Statistical Physics

, Volume 40, Issue 5–6, pp 613–620 | Cite as

Exact solution of a triangular ising model in a nonzero magnetic field

  • F. Y. Wu
Articles

Abstract

A closed-form expression is obtained for the free energy per site of the Ising model on the triangular lattice in a nonzero magnetic field and with two- and three-site interactions. The solution is valid along a trajectory in the parameter space, and is derived using a method of exact decimation. A criterion determining the validity of the decimation method is also established.

Key words

Ising model exact solution nonzero magnetic field 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. M. Verhagen,J. Stat. Phys. 15:219 (1976).Google Scholar
  2. 2.
    P. Ruján,J. Stat. Phys. 34:615 (1984).Google Scholar
  3. 3.
    D. Dhar,Phys. Rev. Lett. 49:959 (1982).Google Scholar
  4. 4.
    E. Domany and W. Kinzel,Phys. Rev. Lett. 53:311 (1984).Google Scholar
  5. 5.
    R. J. Baxter,J. Phys. A: Math. Gen. 13:L61 (1980);J. Stat. Phys. 26:427 (1981).Google Scholar
  6. 6.
    I. G. Enting,J. Phys. C: Solid State Phys. 10:1379 (1977);J. Phys. A: Math. Gen. 10:1023 (1977);J. Phys. A: Math. Gen. 11:555 (1978);J. Phys. A: Math. Gen. 11:2001 (1978).Google Scholar
  7. 7.
    M. T. Jaekel and J. M. Maillard,J. Phys. A: Math. Gen. 18:1229 (1985).Google Scholar
  8. 8.
    F. Y. Wu, report at the 52nd Statistical Mechanics Meeting, J. Stat. Phys.Google Scholar
  9. 9.
    J. Stephenson,J. Math. Phys. 11:420 (1970).Google Scholar
  10. 10.
    K. Y. Lin and F. Y. Wu,Z. Phys. B33:191 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • F. Y. Wu
    • 1
  1. 1.Department of PhysicsNortheastern UniversityBoston

Personalised recommendations