A link between the maximum entropy approach and the variational entropy form - Condensed Matter > Statistical Mechanics

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Abstract: The maximum entropy approach operating with quite general entropy measure andconstraint is considered. It is demonstrated that for a conditional orparametrized probability distribution $fx|\mu$ there is a -universal-relation among the entropy rate and the functions appearing in the constraint.It is shown that the recently proposed variational formulation of the entropicfunctional can be obtained as a consequence of this relation, that is from themaximum entropy principle. This resolves certain puzzling points appeared inthe variational approach.