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...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6101083 |
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| _version_ | 1832552523356962816 |
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| author | Yue Kai Wenlong Xu Bailin Zheng Nan Yang Kai Zhang P. M. Thibado |
| author_facet | Yue Kai Wenlong Xu Bailin Zheng Nan Yang Kai Zhang P. M. Thibado |
| author_sort | Yue Kai |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b2d1c3b09c0248fcad9f9740022f0fd0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b2d1c3b09c0248fcad9f9740022f0fd02025-02-03T05:58:33ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/61010836101083Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene MembranesYue Kai0Wenlong Xu1Bailin Zheng2Nan Yang3Kai Zhang4P. M. Thibado5School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaDepartment of Physics, University of Arkansas, Fayetteville, AR 72701, USAIn 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.http://dx.doi.org/10.1155/2019/6101083 |
| spellingShingle | Yue Kai Wenlong Xu Bailin Zheng Nan Yang Kai Zhang P. M. Thibado Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes Complexity |
| title | Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes |
| title_full | Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes |
| title_fullStr | Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes |
| title_full_unstemmed | Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes |
| title_short | Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes |
| title_sort | origin of non gaussian velocity distribution found in freestanding graphene membranes |
| url | http://dx.doi.org/10.1155/2019/6101083 |
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