Critical fluctuations, intermittent dynamics and Tsallis statistics

Details Critical fluctuations, intermittent dynamics and Tsallis statistics Critical fluctuations, intermittent dynamics and Tsallis statistics

2004-01-21

arxiv.org/abs/cond-mat/0401405v1

Physica A 344, 631-636 (2004)

Physics

Condensed Matter

Statistical Mechanics

Contribution to the proceedings of International Workshop on Trends and Perspectives on Extensive and Non-Extensive Statistica

Scientific paper

10.1016/j.physa.2004.06.043

It is pointed out that the dynamics of the order parameter at a thermal critical point obeys the precepts of the nonextensive Tsallis statistics. We arrive at this conclusion by putting together two well-defined statistical-mechanical developments. The first is that critical fluctuations are correctly described by the dynamics of an intermittent nonlinear map. The second is that intermittency in the neighborhood of a tangent bifurcation in such map rigorously obeys nonextensive statistics. We comment on the implications of this result. Key words: critical fluctuations, intermittency, nonextensive statistics, anomalous stationary states

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