Strong correlations between the exponent $\alpha$ and the particle number for a Renyi-monoatomic gas in Gibbs' statistical mechanics

Abstract

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

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References in corpus (11)

• Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
• The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics
• Relative Entropies in Conformal Field Theory
• Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data
• Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
• Topological Rényi entropy after a quantum quench
• A path integral Monte Carlo method for Rényi entanglement entropies
• On some entropy functionals derived from Rényi information divergence
• Exact correspondence between Renyi entropy flows and physical flows
• Entanglement properties and quantum phases for a fermionic disordered one dimensional wire with attractive interactions
• Troublesome aspects of the Renyi-MaxEnt treatment

Cited by in corpus (2)

• Analysis of Tsallis' classical partition function's poles
• Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial