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Paper Abstract and Keywords
Presentation 2015-03-03 14:00
A Probabilistic Cellular Array Model of Wave Systems and its Application
Wataru Nakashima, Hisato Fujisaka, Takeshi Kamio (Hiroshima City Univ.) NLP2014-145
Abstract (in Japanese) (See Japanese page) 
(in English) In this report, we propose a probabilistic cellular array which is a model of classical wave systems with dissipation.
We assume particles moving from a cell to an adjacent cell for a unit time step on the cellular array.
We proved analytically that the probability distribution of the particles in terms of their location satisfies the discretized classical wave equation.
We also presented numerically that the distribution meets the solution of the classical wave equation.
If the wave functions of relativistic massless quantum particles and of electrons propagating on graphene are plane waves, the proposed cellular array is a model of these quantum systems.
That is, the cellular array can be a stochastic quantization of the quantum systems.
Keyword (in Japanese) (See Japanese page) 
(in English) cellular array / wave equation / probabilistic system / / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 484, NLP2014-145, pp. 13-16, March 2015.
Paper # NLP2014-145 
Date of Issue 2015-02-24 (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 NLP2014-145

Conference Information
Committee NLP  
Conference Date 2015-03-03 - 2015-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Hyogo Prefecture Citizens' Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To NLP 
Conference Code 2015-03-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Probabilistic Cellular Array Model of Wave Systems and its Application 
Sub Title (in English)  
Keyword(1) cellular array  
Keyword(2) wave equation  
Keyword(3) probabilistic system  
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1st Author's Name Wataru Nakashima  
1st Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
2nd Author's Name Hisato Fujisaka  
2nd Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
3rd Author's Name Takeshi Kamio  
3rd Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
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Speaker Author-1 
Date Time 2015-03-03 14:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2014-145 
Volume (vol) vol.114 
Number (no) no.484 
Page pp.13-16 
#Pages 4 
Date of Issue 2015-02-24 (NLP) 

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