Acta Physica Hungarica

, Volume 62, Issue 2–4, pp 287–306 | Cite as

A symbolic algorithm for finding exactly soluble statistical mechanical models

  • P. Ruján
General Physics

Abstract

In general it is a very difficult task to find statistical mechanical models which satisfy the Yang-Baxter equations and thus are completely integrable. We propose a new approach leading to a (overdetermined) set oflinear equations. The formalism is applied to the Ising and the Ashkin-Teller models, which are both self-duals in two dimensions. Preliminary results for a symbolic algebra manipulation program is given, which would derive the relevant set of equations for an arbitrary internal spin symmetry group.

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Copyright information

© Akadémiai Kiadó 1987

Authors and Affiliations

  • P. Ruján
    • 1
  1. 1.Institute for Solid State Research of the Nuclear Research Establishement JülichJülichFRG
  2. 2.Institute for Theoretical PhysicsRoland Eötvös UniversityBudapest

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