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Critical fluctuations, intermittent dynamics and Tsallis statistics

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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]
Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 14814429
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: 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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  Data: <i>Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physa.2004.06.043
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Physical & theoretical chemistry
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Fluctuations (Physics)
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      – TitleFull: Critical fluctuations, intermittent dynamics and Tsallis statistics
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              Text: Dec2004
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