Conditional maximum entropy and Superstatistics
arXiv:2005.01438 · doi:10.1088/1751-8121/abb6af
Abstract
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 [J. Phys. A: Math. Theor. 53, 045004 (2020)] 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 (MaxEnt) using conditional expectation constraints, and provide an example model where this framework can be tested.
References in corpus (21)
- Superstatistics
- From time series to superstatistics
- Nonextensive statistical mechanics and economics
- Superstatistics: Theory and Applications
- Superstatistics, thermodynamics, and fluctuations
- Statistics of 3-dimensional Lagrangian turbulence
- Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
- Beyond Boltzmann-Gibbs statistics: Maximum entropy hyperensembles out-of-equilibrium
- Bayesian approach to superstatistics
- Multi-parameter generalization of nonextensive statistical mechanics
- Superstatistical approach to air pollution statistics
- Spectral fluctuations of billiards with mixed dynamics: from time series to superstatistics
- Superstatistics and the effective QCD phase diagram
- Heterogeneous anomalous diffusion in view of superstatistics
- On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems
- A maximum entropy thermodynamics of small systems
- Temperature is not an observable in superstatistics
- Thermodynamic fluctuation relation for temperature and energy
- Superstatistics and temperature fluctuations
- Superstatistics and the quest of generalized ensembles equivalence in a system with long-range interactions
- On the possible distributions of temperature in nonequilibrium steady states