Exact partition function of arithmetic Ising model
Anu Dhochak, Ken Kikuchi, Shrinit Singh
Abstract
We present a compact formula for the exact partition function of the d-dimensional arithmetic Ising model (AIM). For a 2×2 system, we express it analytically using the q-Hurwitz-Lerch zeta function and derive explicit forms for the free energy and entropy. Additionally, we find that the entropy increases at high temperatures, supporting the presence of entropic order.
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