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| Presentation | 2019-10-22 15:55 Discussion on Modeling Nano-Carbon Electrons by Classical Probabilistic Particles Shota Hayakawato, Ibuki Nakamura, Hisato Fujisaka (Hiroshima City Univ.)  CAS2019-35 NLP2019-75 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The behavior of electrons on graphene is described by massless Dirac equation whose solution is a quantum wave with pseudo-spin. Stochastic quantization is a description of quantum particles by classical probabilistic particles. The Parisi-Wu method might be a suitable stochastic quantization for the graphene system. However, the method requires large computational cost to obtain sample electron trajectories on a graphene sheet. In this manuscript, it is shown that sample electron trajectories are computed as numerical solutions of a generalized Langevin equation established by the Nelson’s method if the probability density function and the probability density current for the electron are obtained. Numerical examples of electron trajectories on a graphene nano-ribbon with zigzag edges are presented. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | graphene / Dirac equation / stochastic quantization / probabilistic particle / Langevin equation / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 119, no. 238, NLP2019-75, pp. 61-66, Oct. 2019. | |
| Paper # | NLP2019-75 | |
| Date of Issue | 2019-10-15 (CAS, NLP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2019-35 NLP2019-75 |
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| Conference Information | |
| Committee | NLP CAS |
| Conference Date | 2019-10-22 - 2019-10-23 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Gifu Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Mathematical modeling, numerical simulation etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2019-10-NLP-CAS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Discussion on Modeling Nano-Carbon Electrons by Classical Probabilistic Particles |
| Sub Title (in English) | |
| Keyword(1) | graphene |
| Keyword(2) | Dirac equation |
| Keyword(3) | stochastic quantization |
| Keyword(4) | probabilistic particle |
| Keyword(5) | Langevin equation |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Shota Hayakawato |
| 1st Author's Affiliation | Hiroshima City University (Hiroshima City Univ.) |
| 2nd Author's Name | Ibuki Nakamura |
| 2nd Author's Affiliation | Hiroshima City University (Hiroshima City Univ.) |
| 3rd Author's Name | Hisato Fujisaka |
| 3rd Author's Affiliation | Hiroshima City University (Hiroshima City Univ.) |
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| Speaker | Author-2 |
| Date Time | 2019-10-22 15:55:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | CAS2019-35, NLP2019-75 |
| Volume (vol) | vol.119 |
| Number (no) | no.237(CAS), no.238(NLP) |
| Page | pp.61-66 |
| #Pages | 6 |
| Date of Issue | 2019-10-15 (CAS, NLP) |
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