A Note on Lars Onsager and the Partition Functions of Cubic Lattice Models

TL;DR

This paper generalizes Onsager's Ising partition function to n-dimensions, simplifies it to a single integral, and applies it to compute the partition function and residual entropy of an eight vertex model.

Contribution

It introduces an n-dimensional generalization of the Onsager integral and demonstrates its application to complex lattice models.

Findings

Reduced the n-dimensional Onsager integral to a single integral

Evaluated the partition function of an eight vertex model

Calculated the residual entropy of the model

Abstract

An $n$-dimensional generalization of the Onsager Ising partition function integral is reduced to a single integral and applied to evaluate the partition function and residual entropy of an eight vertex model.