Strong correlations between the exponent α and the particle number for a Renyi monoatomic gas in Gibbs' statistical mechanics

摘要

Appealing to the 1902 Gibbs formalism for classical statistical mechanics (SM)-the first SMaxiomatic theory ever that successfully explained equilibrium thermodynamics-we show that already at the classical level there is a strong correlation between Renyi's exponent α and the number of particles for very simple systems. No reference to heat baths is needed for such a purpose.