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

Yue Kai, Wenlong Xu, Bailin Zheng, Nan Yang, Kai Zhang and P. M. Thibado

Complexity, 2019, vol. 2019, 1-7

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6101083

DOI: 10.1155/2019/6101083

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