Exploring mean field spin models with multiple populations: A theoretical framework
Source abstract
Abstract
This paper thoroughly investigates the analysis of a modified generalized mean-field Ising model. The thermodynamic limit of free energy is investigated, and both the upper and lower bounds are derived. The lower bound is derived using a standard entropic variational principle, whereas a decoupling method is employed to derive the upper bound. Although the two bounds differ in form, they exhibit the same local maxima. Finally, the impact of a slight external field on the magnetic order is analyzed.
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Research context
OpenAlex topics: Quantum many-body systems · Opinion Dynamics and Social Influence · Quantum and electron transport phenomena
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Affiliations
Department of Mathematics and Statistics, University of Energy and Natural Resources 1 , Sunyani, Ghana
Department of Mathematics, Kwame Nkrumah University of Science and Technology 2 , Kumasi, Ghana
Department of Statistics and Actuarial Science, Kwame Nkrumah University of Science and Technology 3 , Kumasi, Ghana
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