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Environmental superstatistics

Author

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  • Yalcin, G. Cigdem
  • Beck, Christian

Abstract

A thermodynamic device placed outdoors, or a local ecosystem, is subject to a variety of different temperatures given by short-term (daily) and long-term (seasonal) variations. In the long term a superstatistical description makes sense, with a suitable distribution function f(β) of inverse temperature β over which ordinary statistical mechanics is averaged. We show that f(β) is very different at different geographic locations, and typically exhibits a double-peak structure for long-term data. For some of our data sets we also find a systematic drift due to global warming. For a simple superstatistical model system we show that the response to global warming is stronger if temperature fluctuations are taken into account.

Suggested Citation

  • Yalcin, G. Cigdem & Beck, Christian, 2013. "Environmental superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5431-5452.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:21:p:5431-5452
    DOI: 10.1016/j.physa.2013.06.057
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    Cited by:

    1. Ewin Sánchez & Manuel González-Navarrete & Christian Caamaño-Carrillo, 2021. "Bivariate superstatistics: an application to statistical plasma physics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-7, February.
    2. Kosun, Caglar & Ozdemir, Serhan, 2016. "A superstatistical model of vehicular traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 466-475.
    3. dos Santos, Maike A.F., 2020. "Mittag-Leffler functions in superstatistics," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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