The Ising lattice with Brascamp-Kunz boundary conditions and an external magnetic field
I. Lyberg
TL;DR
This paper provides an exact calculation of the partition function for the finite Ising lattice with Brascamp-Kunz boundary conditions, both without and with a specific external magnetic field, enhancing understanding of boundary effects.
Contribution
It presents the first exact computation of the Ising model's partition function under Brascamp-Kunz boundary conditions with an external magnetic field.
Findings
Exact partition function without external field
Exact partition function with external field iπ/2
Insights into boundary condition effects on the Ising model
Abstract
The partition function of the finite Ising lattice with Brascamp-Kunz boundary conditions is calculated exactly in the absence of an external magnetic field and for an external field i\pi/2.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods