Summary

International Symposium on Nonlinear Theory and Its Applications

2016

Session Number:C1L-F

Session:

Number:C1L-F-2

A Probabilistic Model of Nano-Carbon Materials Based on Probabilistic Current

Shohei Hamada,  Aiko Kawane,  Hisato Fujisaka,  Takeshi Kamio,  

pp.-

Publication Date:2016/11/27

Online ISSN:2188-5079

DOI:10.34385/proc.48.C1L-F-2

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Summary:
We derived an equation of continuity for the probability density function of electrons on nanocarbon materials. From the derived equation, we built a cellular array model of the materials with hexagonal lattice structure. A virtual electron particle moves on the lattice probabilistically along with probabilistic current in the equation of continuity. From numerical experiments, we found that the cellular array successfully provided numerical samples of electron trajectories on the materials.