Critical fluctuations, intermittent dynamics and Tsallis statistics

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Bibliographic Details
Title: Critical fluctuations, intermittent dynamics and Tsallis statistics
Authors: Robledo, Alberto1 robledo@fisica.unam.mx
Source: Physica A. Dec2004, Vol. 344 Issue 3/4, p631-636. 6p.
Subjects: Mechanics (Physics), Physical & theoretical chemistry, Mathematics, Fluctuations (Physics)
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. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
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. [Copyright &y& Elsevier]
ISSN:03784371
DOI:10.1016/j.physa.2004.06.043