Conditional maximum entropy and superstatistics

Sergio Davis

Research output: Contribution to journalArticlepeer-review


Superstatistics describes nonequilibrium steady states as superpositions of canonical ensembles with a probability distribution of temperatures. Rather than assume a certain distribution of temperature, recently [2020 J. Phys. A: Math. Theor. 53 045004] we have discussed general conditions under which a system in contact with a finite environment can be described by superstatistics together with a physically interpretable, microscopic definition of temperature. In this work, we present a new interpretation of this result in terms of the standard maximum entropy principle using conditional expectation constraints, and provide an example model where this framework can be tested.

Original languageEnglish
Article numberA5
JournalJournal of Physics A: Mathematical and Theoretical
Issue number44
Publication statusPublished - Nov 2020


  • Conditional expectation
  • Maximum entropy
  • Superstatistics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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