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Thermodynamics from first principles: Correlations and nonextensivity
Physical review. E
The standard formulation of thermostatistics, being based on the Boltzmann-Gibbs distribution and logarithmic Shannon entropy, describes idealized uncorrelated systems with extensive energies and short-range interactions. In this Rapid Communication, we use the fundamental principles of ergodicity (via Liouville's theorem), the self-similarity of correlations, and the existence of the thermodynamic limit to derive generalized forms of the equilibrium distribution for long-range-interactingdoi:10.1103/physreve.101.060101 pmid:32688595 fatcat:kmzknxpbvzdc5aowa4bifc6r2e