Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points

Details Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points

2006-06-13

arxiv.org/abs/cond-mat/0606334v1

Physica A 370, 449-460 (2006)

Physics

Condensed Matter

Statistical Mechanics

To be published in Physica A

Scientific paper

10.1016/j.physa.2006.06.003

Recently, in Phys. Rev. Lett. 95, 140601 (2005), P. Grassberger addresses the interesting issue of the applicability of q-statistics to the renowned Feigenbaum attractor. He concludes there is no genuine connection between the dynamics at the critical attractor and the generalized statistics and argues against its usefulness and correctness. Yet, several points are not in line with our current knowledge, nor are his interpretations. We refer here only to the dynamics on the attractor to point out that a correct reading of recent developments invalidates his basic claim.

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