Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase
By using simple extended mapping models showing chaotic diffusion, nonperturbative non-Gaussian characteristics of diffusive motion are examined in the framework of the large deviation statistical theory. Furthermore by rigorously solving the large deviation statistical quantities, it is found that...
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Universitätsbibliothek Leipzig
2016
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ndltd-DRESDEN-oai-qucosa.de-bsz-15-qucosa-1946642016-01-16T03:31:21Z Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase Miyazaki, Syuji Yoshida, Masaomi Fujisaka, Hirokazu Diffusion Transport diffusion transport ddc:530 By using simple extended mapping models showing chaotic diffusion, nonperturbative non-Gaussian characteristics of diffusive motion are examined in the framework of the large deviation statistical theory. Furthermore by rigorously solving the large deviation statistical quantities, it is found that the same type of anomalous, complex control parameter dependence as that for the diffusion coefficient reported by Klages and Dorfman is also observed in the large deviation statistical quantities such as the weighted average, the generalized diffusion coefficient and the generalized power spectrum densities. Universitätsbibliothek Leipzig Kyoto University, Graduate School of Informatics Universität Leipzig, Fakultät für Physik und Geowissenschaften 2016-01-15 doc-type:article application/pdf http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194664 urn:nbn:de:bsz:15-qucosa-194664 issn:1862-4138 http://www.qucosa.de/fileadmin/data/qucosa/documents/19466/diff_fund_3%282005%299.pdf Diffusion fundamentals 3 (2005) 9, S. 1-34 eng |
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language |
English |
format |
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Diffusion Transport diffusion transport ddc:530 |
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Diffusion Transport diffusion transport ddc:530 Miyazaki, Syuji Yoshida, Masaomi Fujisaka, Hirokazu Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
description |
By using simple extended mapping models showing chaotic diffusion, nonperturbative non-Gaussian characteristics of diffusive motion are examined in the framework of the large deviation statistical theory. Furthermore by rigorously solving the large deviation statistical quantities, it is found that the same type of anomalous, complex control parameter dependence as that for the diffusion coefficient reported by Klages and Dorfman is also observed in the large deviation statistical quantities such as the weighted average, the generalized diffusion coefficient and the generalized power spectrum densities. |
author2 |
Kyoto University, Graduate School of Informatics |
author_facet |
Kyoto University, Graduate School of Informatics Miyazaki, Syuji Yoshida, Masaomi Fujisaka, Hirokazu |
author |
Miyazaki, Syuji Yoshida, Masaomi Fujisaka, Hirokazu |
author_sort |
Miyazaki, Syuji |
title |
Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
title_short |
Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
title_full |
Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
title_fullStr |
Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
title_full_unstemmed |
Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
title_sort |
parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase |
publisher |
Universitätsbibliothek Leipzig |
publishDate |
2016 |
url |
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194664 http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194664 http://www.qucosa.de/fileadmin/data/qucosa/documents/19466/diff_fund_3%282005%299.pdf |
work_keys_str_mv |
AT miyazakisyuji parameterdependenceofballisticvelocityindeterministicdiffusionintheformofdevilsstaircase AT yoshidamasaomi parameterdependenceofballisticvelocityindeterministicdiffusionintheformofdevilsstaircase AT fujisakahirokazu parameterdependenceofballisticvelocityindeterministicdiffusionintheformofdevilsstaircase |
_version_ |
1718160931777675264 |