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Critical fluctuations, intermittent dynamics and Tsallis statistics

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  • Robledo, Alberto

Abstract

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.

Suggested Citation

  • Robledo, Alberto, 2004. "Critical fluctuations, intermittent dynamics and Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 631-636.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:3:p:631-636
    DOI: 10.1016/j.physa.2004.06.043
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