Calculation Method for the Three-Dimensional Ising Ferromagnet Thermodynamics within the Frames of $\rho^6$ Model

TL;DR

This paper develops a calculation method for thermodynamic functions of the 3D Ising ferromagnet using the $ ho^6$ model, showing improved stability over the $ ho^4$ model and identifying optimal renormalization parameters.

Contribution

It introduces a $ ho^6$ model approach for calculating thermodynamics of the 3D Ising ferromagnet, enhancing the robustness of results against parameter variations.

Findings

Dependence on the renormalization parameter $s$ is reduced in the $ ho^6$ model.

Optimal interval for the renormalization parameter $s$ is identified.

Comparison shows the $ ho^6$ model provides more stable thermodynamic calculations.

Abstract

Calculation of thermodynamic functions of the three-dimensional Ising ferromagnet above and below critical temperature is performed in the approximation of sixfold basis distribution ($\rho^6$ model). Comparison with the results for the $\rho^4$ model indicates that dependence of the thermodynamic functions on the renormalization group parameter $s$ becomes weaker. The optimal interval of the renormalization group parameter values is determined.