A first order Tsallis theory

2016/04/30 by G. L. Ferri, A. Plastino, M. C. Rocca +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2017-70699-1

published as EUROPEAN PHYSICAL JOURNAL B, vol. 90 p. 46 (2017) · 4 figures added

arxiv created 2016/11/13 · arxiv updated 2017/04/05

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.

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