Spinor analysis and symbolic computation of partition functions

  • Authors:
  • B. Lacolle

  • Affiliations:
  • -

  • Venue:
  • ACM SIGSAM Bulletin
  • Year:
  • 1992

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Abstract

The Lenz-Ising model is a famous mathematical model in the field of Statistical Mechanics. The exact solution of this model in the thermodynamic limit, has justified a lot of works. In other way, we deal with finite systems and we present an application of the theory of Spinors to the symbolic computation of the partition function of some generalized finite Ising models. We set up an algorithm which has a polynomial time-complexity in the size of the model. Some significant results are presented.