A first order Tsallis theory

Abstract

We investigate first-order approximations to both i) Tsallis' entropy $S_q$ and ii) the $S_q$-MaxEnt solution (called q-exponential functions $e_q$). It is shown that the functions arising from the procedure ii) are the MaxEnt solutions to the entropy emerging from i). The present treatment is free of the poles that, for classic quadratic Hamiltonians, appear in Tsallis' approach, as demonstrated in [Europhysics Letters {\bf 104}, (2013), 60003]. Additionally, we show that our treatment is compatible with extant date on the ozone layer.

4 figures added

References in corpus (4)

• Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Statistics of Lagrangian quantum turbulence
• Possible Divergences in Tsallis' Thermostatistics

Cited by in corpus (1)

• Evidence of Nonlinear Signatures in Solar Wind Proton Density at the L1 Lagrange point