Optimization of S_q under generalized constraints yields q-exponential distributions only for q'=1 and q'=q, with a new q'=2-q case, effective temperature defined via Clausius relation, and thermodynamic properties shown for linear constraint with q in (0,1).
PossibleGeneralizationofBoltzmann-GibbsStatistics
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A Closer Look on the Influence of Constraints Upon the Optimization of the Nonadditive Entropic Functional $S_{q}$
Optimization of S_q under generalized constraints yields q-exponential distributions only for q'=1 and q'=q, with a new q'=2-q case, effective temperature defined via Clausius relation, and thermodynamic properties shown for linear constraint with q in (0,1).