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Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes

Author

Listed:
  • Yue Kai
  • Wenlong Xu
  • Bailin Zheng
  • Nan Yang
  • Kai Zhang
  • P. M. Thibado

Abstract

In this study, an analytic derivation is made for the truncated Cauchy-Lorentz velocity distribution experimentally observed in freestanding graphene membranes. Three methods are used and discussed, including the Fokker-Planck-Kolmogorov equation, the maximum nonsymmetric entropy principle, and the Bayesian inference. From these results, a physical mechanism is provided for the non-Gaussian velocity distribution in terms of carbon atom arrangement in freestanding graphene. Moreover, a new theoretical foundation is proposed for future studies of the anomalous dynamics of carbon atoms in graphene membranes.

Suggested Citation

  • Yue Kai & Wenlong Xu & Bailin Zheng & Nan Yang & Kai Zhang & P. M. Thibado, 2019. "Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes," Complexity, Hindawi, vol. 2019, pages 1-7, March.
    • Handle: RePEc:hin:complx:6101083
    DOI: 10.1155/2019/6101083
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    References listed on IDEAS

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    1. M. Neek-Amal & P. Xu & J.K. Schoelz & M.L. Ackerman & S.D. Barber & P.M. Thibado & A. Sadeghi & F.M. Peeters, 2014. "Thermal mirror buckling in freestanding graphene locally controlled by scanning tunnelling microscopy," Nature Communications, Nature, vol. 5(1), pages 1-7, December.
    2. Liu, Cheng-shi, 2009. "Nonsymmetric entropy and maximum nonsymmetric entropy principle," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2469-2474.
    3. P. Xu & M. Neek-Amal & S. D. Barber & J. K. Schoelz & M. L. Ackerman & P. M. Thibado & A. Sadeghi & F. M. Peeters, 2014. "Unusual ultra-low-frequency fluctuations in freestanding graphene," Nature Communications, Nature, vol. 5(1), pages 1-7, September.
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