Inverse problem for the quartic mean-field Ising model

被引：0
作者：
Richard Kwame Ansah
Richard Kena Boadi
William Obeng-Denteh
Kassim Tawiah
机构：
[1] University of Energy and Natural Resources,Department of Mathematics and Statistics
[2] Kwame Nkrumah University of Science and Technology,Department of Mathematics
[3] Kwame Nkrumah University of Science and Technology,Department of Statistics and Actuarial Science
来源：
The European Physical Journal Plus | / 138卷
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摘要：
This paper presents a thorough examination of the thermodynamic limit of the pressure function for the mean-field Ising model with four-body interaction. By utilizing a standard entropic variational principle and decoupling method, both upper and lower bounds were derived, and interestingly, these bounds shared the same local maxima. Additionally, the paper explores and solves the inverse problem related to the mean-field Ising model with four-body interaction. We established a connection between the analytical inversion and statistical observations by utilizing the maximum likelihood criteria and creating a relationship between the estimated and theoretical values.
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