English

A link between the maximum entropy approach and the variational entropy form

Statistical Mechanics 2015-05-19 v1

Abstract

The maximum entropy approach operating with quite general entropy measure and constraint is considered. It is demonstrated that for a conditional or parametrized probability distribution f(xμ)f(x|\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 entropic functional can be obtained as a consequence of this relation, that is from the maximum entropy principle. This resolves certain puzzling points appeared in the variational approach.

Keywords

Cite

@article{arxiv.1007.4729,
  title  = {A link between the maximum entropy approach and the variational entropy form},
  author = {E. V. Vakarin and J. P. Badiali},
  journal= {arXiv preprint arXiv:1007.4729},
  year   = {2015}
}
R2 v1 2026-06-21T15:53:38.540Z