Critical fluctuations, intermittent dynamics and Tsallis statistics

Alberto Robledo

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 3, 631-636

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.

Keywords: Critical fluctuations; Intermittency; Nonextensive statistics; Anomalous stationary states (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:344:y:2004:i:3:p:631-636

DOI: 10.1016/j.physa.2004.06.043

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