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Applications of the transfer integral techniques to two-dimensional lattices

Author

Listed:
  • Guyer, R.A.
  • Serra, P.
  • Condat, C.A.
  • Budde, C.E.

Abstract

The transfer integral formalism is used to study the statistical mechanical properties of a two-component field defined on a two-dimensional lattice. This field, taken to have anisotropic elasticity, is subject to both a nonlinear local potential and an external field. The free energy and magnetization are calculated using an approximate solution of the transfer integral problem. This solution employs a strong-coupling approximation to the transfer integral equation and a variational principle with correlated Gaussian trial functions. As a special case, the ø4 model for a structural phase transition, in the absence of an applied field, is analyzed; a phase diagram consistent with previous calculations is obtained. The phase diagram for a two-component field, with anisotropic elasticity, a ø4 local potential, and an external field, is also considered.

Suggested Citation

  • Guyer, R.A. & Serra, P. & Condat, C.A. & Budde, C.E., 1986. "Applications of the transfer integral techniques to two-dimensional lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(2), pages 370-392.
    • Handle: RePEc:eee:phsmap:v:136:y:1986:i:2:p:370-392
    DOI: 10.1016/0378-4371(86)90257-8
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    1. Sutherland, K. S., 1976. "Small projects for developing countries," Engineering and Process Economics, Elsevier, vol. 1(4), pages 273-284, December.
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