【Approximate Algebraic Solution of 3D Ising Model—Transfer-Matrix Method】
#论文发表# #伊辛模型# #统计物理#

The exact analytical solution of the three-dimensional (3D) Ising model remains a central unresolved problem in statistical mechanics. While exact solutions exist in one and two dimensions, the three-dimensional case has resisted closed-form treatment. This work presents an algebraic, transfer-matrix-based derivation of the critical coupling of the homogeneous three-dimensional simple-cubic Ising model with an approximate algebraic solution for the 3D simple-cubic Ising model utilizing a transfer-matrix method paired with a row-continuous indexing scheme.

DOI: 10.4236/apm.2026.166021 http://t.cn/AXaaA4gF