Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma

Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alf...

Full description

Saved in:
Bibliographic Details
Published in:Physics of plasmas 2005-01, Vol.12 (1), p.012107-012107-11
Main Authors: Hirota, M., Tatsuno, T., Yoshida, Z.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
FLUCTUATIONS
LAPLACE TRANSFORMATION
MAGNETOHYDRODYNAMICS
NORMAL-MODE ANALYSIS
PLASMA
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333
cites cdi_FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333
container_end_page 012107-11
container_issue 1
container_start_page 012107
container_title Physics of plasmas
container_volume 12
creator Hirota, M.
Tatsuno, T.
Yoshida, Z.
description Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alfvén wave in a flowing plasma is an example in which the coalescence of the Alfvén singularities yields nonexponential growth of fluctuations. Invoking hyperfunction theory, rigorous expression of the Laplace transform leads to an accurate estimate of the asymptotic behavior of resonant singular modes.
doi_str_mv 10.1063/1.1834591
format article
fullrecord <record><control><sourceid>scitation_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_20657944</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>pop</sourcerecordid><originalsourceid>FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333</originalsourceid><addsrcrecordid>eNp9kMtKAzEYhYMoWKsL3yDgSmFq0mRycSGU4g0KghcQXIRMmtiRaVKS6RQfyefwxZyhRRdSV-dffP_hnAPAMUYDjBg5xwMsCM0l3gE9jITMOON0t7s5yhijL_vgIKV3hBBlueiB1webgtfeWFjYemWthyb4uvTLsEwwLaypo76Aj9YsKx1bZqabMkQYHBxVrvn69HClG5tg6aGGrgqr0r_BRaXTXB-CPaerZI822gfP11dP49tscn9zNx5NMkMFqTNLhzgnRjAthTXOSOIoETl3qNCdaMqF5IUUbS1LxbAQjFLpcjLVhheEkD44WfuGVJcqmbK2Zta28G14NUQs55LSljpdUyaGlKJ1ahHLuY4fCiPVbaew2mzXspdrtjPTdRn8dvhnQLUZUJnQGpxtM2hC_H1Wi6n7D_4b7RvY05Nq</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma</title><source>American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)</source><source>AIP Journals (American Institute of Physics)</source><creator>Hirota, M. ; Tatsuno, T. ; Yoshida, Z.</creator><creatorcontrib>Hirota, M. ; Tatsuno, T. ; Yoshida, Z.</creatorcontrib><description>Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alfvén wave in a flowing plasma is an example in which the coalescence of the Alfvén singularities yields nonexponential growth of fluctuations. Invoking hyperfunction theory, rigorous expression of the Laplace transform leads to an accurate estimate of the asymptotic behavior of resonant singular modes.</description><identifier>ISSN: 1070-664X</identifier><identifier>EISSN: 1089-7674</identifier><identifier>DOI: 10.1063/1.1834591</identifier><identifier>CODEN: PHPAEN</identifier><language>eng</language><publisher>United States: American Institute of Physics</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; ALFVEN WAVES ; FLUCTUATIONS ; LAPLACE TRANSFORMATION ; MAGNETOHYDRODYNAMICS ; NORMAL-MODE ANALYSIS ; PLASMA</subject><ispartof>Physics of plasmas, 2005-01, Vol.12 (1), p.012107-012107-11</ispartof><rights>American Institute of Physics</rights><rights>2005 American Institute of Physics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333</citedby><cites>FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/pop/article-lookup/doi/10.1063/1.1834591$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,776,778,780,791,881,27901,27902,76125</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/20657944$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Hirota, M.</creatorcontrib><creatorcontrib>Tatsuno, T.</creatorcontrib><creatorcontrib>Yoshida, Z.</creatorcontrib><title>Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma</title><title>Physics of plasmas</title><description>Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alfvén wave in a flowing plasma is an example in which the coalescence of the Alfvén singularities yields nonexponential growth of fluctuations. Invoking hyperfunction theory, rigorous expression of the Laplace transform leads to an accurate estimate of the asymptotic behavior of resonant singular modes.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>ALFVEN WAVES</subject><subject>FLUCTUATIONS</subject><subject>LAPLACE TRANSFORMATION</subject><subject>MAGNETOHYDRODYNAMICS</subject><subject>NORMAL-MODE ANALYSIS</subject><subject>PLASMA</subject><issn>1070-664X</issn><issn>1089-7674</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNp9kMtKAzEYhYMoWKsL3yDgSmFq0mRycSGU4g0KghcQXIRMmtiRaVKS6RQfyefwxZyhRRdSV-dffP_hnAPAMUYDjBg5xwMsCM0l3gE9jITMOON0t7s5yhijL_vgIKV3hBBlueiB1webgtfeWFjYemWthyb4uvTLsEwwLaypo76Aj9YsKx1bZqabMkQYHBxVrvn69HClG5tg6aGGrgqr0r_BRaXTXB-CPaerZI822gfP11dP49tscn9zNx5NMkMFqTNLhzgnRjAthTXOSOIoETl3qNCdaMqF5IUUbS1LxbAQjFLpcjLVhheEkD44WfuGVJcqmbK2Zta28G14NUQs55LSljpdUyaGlKJ1ahHLuY4fCiPVbaew2mzXspdrtjPTdRn8dvhnQLUZUJnQGpxtM2hC_H1Wi6n7D_4b7RvY05Nq</recordid><startdate>20050101</startdate><enddate>20050101</enddate><creator>Hirota, M.</creator><creator>Tatsuno, T.</creator><creator>Yoshida, Z.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20050101</creationdate><title>Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma</title><author>Hirota, M. ; Tatsuno, T. ; Yoshida, Z.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>ALFVEN WAVES</topic><topic>FLUCTUATIONS</topic><topic>LAPLACE TRANSFORMATION</topic><topic>MAGNETOHYDRODYNAMICS</topic><topic>NORMAL-MODE ANALYSIS</topic><topic>PLASMA</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hirota, M.</creatorcontrib><creatorcontrib>Tatsuno, T.</creatorcontrib><creatorcontrib>Yoshida, Z.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physics of plasmas</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hirota, M.</au><au>Tatsuno, T.</au><au>Yoshida, Z.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma</atitle><jtitle>Physics of plasmas</jtitle><date>2005-01-01</date><risdate>2005</risdate><volume>12</volume><issue>1</issue><spage>012107</spage><epage>012107-11</epage><pages>012107-012107-11</pages><issn>1070-664X</issn><eissn>1089-7674</eissn><coden>PHPAEN</coden><abstract>Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alfvén wave in a flowing plasma is an example in which the coalescence of the Alfvén singularities yields nonexponential growth of fluctuations. Invoking hyperfunction theory, rigorous expression of the Laplace transform leads to an accurate estimate of the asymptotic behavior of resonant singular modes.</abstract><cop>United States</cop><pub>American Institute of Physics</pub><doi>10.1063/1.1834591</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1070-664X
ispartof Physics of plasmas, 2005-01, Vol.12 (1), p.012107-012107-11
issn 1070-664X
1089-7674
language eng
recordid cdi_osti_scitechconnect_20657944
source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list); AIP Journals (American Institute of Physics)
subjects 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
FLUCTUATIONS
LAPLACE TRANSFORMATION
MAGNETOHYDRODYNAMICS
NORMAL-MODE ANALYSIS
PLASMA
title Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T20%3A02%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-scitation_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Resonance%20between%20continuous%20spectra:%20Secular%20behavior%20of%20Alfv%C3%A9n%20waves%20in%20a%20flowing%20plasma&rft.jtitle=Physics%20of%20plasmas&rft.au=Hirota,%20M.&rft.date=2005-01-01&rft.volume=12&rft.issue=1&rft.spage=012107&rft.epage=012107-11&rft.pages=012107-012107-11&rft.issn=1070-664X&rft.eissn=1089-7674&rft.coden=PHPAEN&rft_id=info:doi/10.1063/1.1834591&rft_dat=%3Cscitation_osti_%3Epop%3C/scitation_osti_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c483t-e42153c86a98ecfc93f43857f0ba857fa47897b98459e482b86449f53dac7b333%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true