English

Ising Matter as Bulky: An Identity Described by Many Models

Statistical Mechanics 2020-09-28 v1 History and Philosophy of Physics

Abstract

The two-dimensional Ising model of a ferromagnet allows for many ways of computing its partition function and other properties. Each way reveals surprising features of what we might call Ising Matter. Moreover, the various ways would appear to analogize with the mathematical threefold analogy of analysis, algebra, and arithmetic, due to R. Dedekind and H. Weber, 1882, and more recently described by A. Weil.

Keywords

Cite

@article{arxiv.2009.12017,
  title  = {Ising Matter as Bulky: An Identity Described by Many Models},
  author = {Martin H. Krieger},
  journal= {arXiv preprint arXiv:2009.12017},
  year   = {2020}
}