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

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...

Full description

Saved in:
Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2019-01, Vol.2019 (2019), p.1-7
Main Authors: Zhang, Kai, Yang, Nan, Zheng, Bailin, Xu, Wenlong, Kai, Yue, Thibado, P. M.
Format: Article
Language:English
Subjects:
Bayesian analysis
Carbon
Chemical engineering
Clean technology
Energy
Engineering research
Fractals
Gaussian distribution
Graphene
Graphite
Langevin, Paul
Membranes
Probability distribution
Scientific imaging
Soil sciences
Statistical inference
Statistical physics
Stochastic processes
Theory
Velocity
Velocity distribution
Zipf's Law
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2019/6101083