Critical temperatures of two- and three-dimensional Ferromagnetic Ising models- A hierarchy

M V Vismaya; M V Sangaranarayanan

Critical temperatures of two- and three-dimensional Ferromagnetic Ising models- A hierarchy

Statistical Mechanics 2024-03-22 v1 Chemical Physics

Authors: M V Vismaya , M V Sangaranarayanan

Abstract

A unified algebraic structure is shown to exist among various equations for the critical temperatures pertaining to diverse two- and three-dimensional lattices. This isomorphism is a pointer to the straight-forward extension of two-dimensional results to corresponding three dimensional analogues.

Keywords

ferromagnetic Ising model critical temperature algebraic structure isomorphism two-dimensional lattices three-dimensional lattices hierarchy

Cite

@article{arxiv.2403.14303,
  title  = {Critical temperatures of two- and three-dimensional Ferromagnetic Ising models- A hierarchy},
  author = {M V Vismaya and M V Sangaranarayanan},
  journal= {arXiv preprint arXiv:2403.14303},
  year   = {2024}
}

Comments

5 pages; one table

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