Generalization of the Mean-Field Ising Model Within Tsallis Thermostatistics
Fevzi Buyukkilic, Dogan Demirhan, Ugur Tirnakli

TL;DR
This paper explores the mean-field Ising model within Tsallis thermostatistics, utilizing the Bogolyubov inequality to analyze its properties under generalized statistical frameworks.
Contribution
It extends the mean-field Ising model analysis to Tsallis thermostatistics using the Bogolyubov inequality, providing new insights into non-extensive statistical mechanics.
Findings
Generalized the mean-field Ising model with Tsallis statistics
Derived new thermodynamic relations within the generalized framework
Provided potential applications in complex systems modeling
Abstract
In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the frame of the generalized statistics, has been investigated.
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