Plasmas in Particle Accelerators: A Hydrodynamic Model of Three-Dimensional Electrostatic Instabilities
In an earlier paper, closed hydrodynamic equations were derived with possible application to the simulation of beam plasmas relevant to designs of heavy ion accelerators for inertial confinement fusion energy applications. The closure equations involved a novel feature of anisotropic stresses even t...
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| Veröffentlicht in: | SIAM J. Appl. Math.; (United States) 1983-12, Vol.43 (6), p.1390-1399 |
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| creator | Krafft, Geoffrey A. James W-K. Mark Wang, Tai-Sen F. |
| description | In an earlier paper, closed hydrodynamic equations were derived with possible application to the simulation of beam plasmas relevant to designs of heavy ion accelerators for inertial confinement fusion energy applications. The closure equations involved a novel feature of anisotropic stresses even transverse to the beam. A related hydrodynamic model is used in this paper to examine further the boundaries of validity of such hydrodynamic approximations. It is also proposed as a useful tool to provide an economic means for searching the large parameter space relevant to three-dimensional stability problems involving coupling of longitudinal and transverse motions in the presence of wall impedance. |
| doi_str_mv | 10.1137/0143092 |
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Mark ; Wang, Tai-Sen F.</creator><creatorcontrib>Krafft, Geoffrey A. ; James W-K. Mark ; Wang, Tai-Sen F. ; Lawrence Berkeley Lab., CA</creatorcontrib><description>In an earlier paper, closed hydrodynamic equations were derived with possible application to the simulation of beam plasmas relevant to designs of heavy ion accelerators for inertial confinement fusion energy applications. The closure equations involved a novel feature of anisotropic stresses even transverse to the beam. A related hydrodynamic model is used in this paper to examine further the boundaries of validity of such hydrodynamic approximations. It is also proposed as a useful tool to provide an economic means for searching the large parameter space relevant to three-dimensional stability problems involving coupling of longitudinal and transverse motions in the presence of wall impedance.</description><identifier>ISSN: 0036-1399</identifier><identifier>EISSN: 1095-712X</identifier><identifier>DOI: 10.1137/0143092</identifier><identifier>CODEN: SMJMAP</identifier><language>eng</language><publisher>Philadelphia, PA: Society for Industrial and Applied Mathematics</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; ACCELERATORS ; Acoustic modes ; Approximation ; BOLTZMANN-VLASOV EQUATION ; DIFFERENTIAL EQUATIONS ; DISPERSION RELATIONS ; Electrons ; EQUATIONS ; Equilibrium ; Exact sciences and technology ; HEAVY ION ACCELERATORS ; Heavy ions ; HYDRODYNAMIC MODEL ; Hydrodynamics ; I-BEAM TYPE REACTORS ; INSTABILITY ; Kinetics ; Laboratories ; Laser beams ; Magnetic fields ; MATHEMATICAL MODELS ; PARTIAL DIFFERENTIAL EQUATIONS ; Particle accelerators ; PARTICLE MODELS ; Physics ; Physics of gases, plasmas and electric discharges ; Physics of plasmas and electric discharges ; PLASMA INSTABILITY ; Plasma stability ; Plasmas ; Simulation ; Space charge ; STATISTICAL MODELS ; SURFACE PROPERTIES ; THERMODYNAMIC MODEL ; THERMONUCLEAR REACTORS 700208 -- Fusion Power Plant Technology-- Inertial Confinement Technology ; THREE-DIMENSIONAL CALCULATIONS ; Velocity ; Waves, oscillations, and instabilities in plasmas and intense beams</subject><ispartof>SIAM J. 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Math.; (United States), 1983-12, Vol.43 (6), p.1390-1399</ispartof><rights>Copyright 1983 Society for Industrial and Applied Mathematics</rights><rights>1984 INIST-CNRS</rights><rights>[Copyright] © 1983 Society for Industrial and Applied Mathematics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c273t-a63b4e81d79b15d47d4bbc8c667c3578faa89b49384f4360227fb357aeed24d43</citedby><cites>FETCH-LOGICAL-c273t-a63b4e81d79b15d47d4bbc8c667c3578faa89b49384f4360227fb357aeed24d43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2101183$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2101183$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,832,885,3185,27924,27925,58017,58021,58250,58254</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=9467379$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6791306$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Krafft, Geoffrey A.</creatorcontrib><creatorcontrib>James W-K. Mark</creatorcontrib><creatorcontrib>Wang, Tai-Sen F.</creatorcontrib><creatorcontrib>Lawrence Berkeley Lab., CA</creatorcontrib><title>Plasmas in Particle Accelerators: A Hydrodynamic Model of Three-Dimensional Electrostatic Instabilities</title><title>SIAM J. Appl. Math.; (United States)</title><description>In an earlier paper, closed hydrodynamic equations were derived with possible application to the simulation of beam plasmas relevant to designs of heavy ion accelerators for inertial confinement fusion energy applications. The closure equations involved a novel feature of anisotropic stresses even transverse to the beam. A related hydrodynamic model is used in this paper to examine further the boundaries of validity of such hydrodynamic approximations. It is also proposed as a useful tool to provide an economic means for searching the large parameter space relevant to three-dimensional stability problems involving coupling of longitudinal and transverse motions in the presence of wall impedance.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>ACCELERATORS</subject><subject>Acoustic modes</subject><subject>Approximation</subject><subject>BOLTZMANN-VLASOV EQUATION</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>DISPERSION RELATIONS</subject><subject>Electrons</subject><subject>EQUATIONS</subject><subject>Equilibrium</subject><subject>Exact sciences and technology</subject><subject>HEAVY ION ACCELERATORS</subject><subject>Heavy ions</subject><subject>HYDRODYNAMIC MODEL</subject><subject>Hydrodynamics</subject><subject>I-BEAM TYPE REACTORS</subject><subject>INSTABILITY</subject><subject>Kinetics</subject><subject>Laboratories</subject><subject>Laser beams</subject><subject>Magnetic fields</subject><subject>MATHEMATICAL MODELS</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>Particle accelerators</subject><subject>PARTICLE MODELS</subject><subject>Physics</subject><subject>Physics of gases, plasmas and electric discharges</subject><subject>Physics of plasmas and electric discharges</subject><subject>PLASMA INSTABILITY</subject><subject>Plasma stability</subject><subject>Plasmas</subject><subject>Simulation</subject><subject>Space charge</subject><subject>STATISTICAL MODELS</subject><subject>SURFACE PROPERTIES</subject><subject>THERMODYNAMIC MODEL</subject><subject>THERMONUCLEAR REACTORS 700208 -- Fusion Power Plant Technology-- Inertial Confinement Technology</subject><subject>THREE-DIMENSIONAL CALCULATIONS</subject><subject>Velocity</subject><subject>Waves, oscillations, and instabilities in plasmas and intense beams</subject><issn>0036-1399</issn><issn>1095-712X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1983</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNpFkUFLHDEUx4O04NaWfgEPQYo9TZtMssmkt0WtCpZ6sNBbyGTeaJZMonmzh_32RnZZTwm8Hz_e__0J-crZD86F_sm4FMy0R2TBmVk2mrf_P5AFY0I1XBhzTD4hrhnjXEmzII_30eHkkIZE712Zg49AV95DhOLmXPAXXdGb7VDysE1uCp7-yQNEmkf68FQAmsswQcKQk4v0KoKfS8bZVQ-9TfXThxjmAPiZfBxdRPiyf0_Iv99XDxc3zd3f69uL1V3jWy3mxinRS-j4oE3Pl4PUg-x733mltBdL3Y3OdaaXRnRylEKxttVjXwcOYGjlIMUJOdt56xbBog8z-CefU6qbWaUNF0xV6HwHPZf8sgGc7RSwRo4uQd6gbYVguuuW77YDuM6bUqOiNVwzIetFK_R9B_kaHQuM9rmEyZWt5cy-VWL3lVTy217n0Ls4Fpd8wANupNJCvwlPd9gaawOHcctraZ0Qr17zkvY</recordid><startdate>19831201</startdate><enddate>19831201</enddate><creator>Krafft, Geoffrey A.</creator><creator>James W-K. 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Mark ; Wang, Tai-Sen F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c273t-a63b4e81d79b15d47d4bbc8c667c3578faa89b49384f4360227fb357aeed24d43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1983</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>ACCELERATORS</topic><topic>Acoustic modes</topic><topic>Approximation</topic><topic>BOLTZMANN-VLASOV EQUATION</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>DISPERSION RELATIONS</topic><topic>Electrons</topic><topic>EQUATIONS</topic><topic>Equilibrium</topic><topic>Exact sciences and technology</topic><topic>HEAVY ION ACCELERATORS</topic><topic>Heavy ions</topic><topic>HYDRODYNAMIC MODEL</topic><topic>Hydrodynamics</topic><topic>I-BEAM TYPE REACTORS</topic><topic>INSTABILITY</topic><topic>Kinetics</topic><topic>Laboratories</topic><topic>Laser beams</topic><topic>Magnetic fields</topic><topic>MATHEMATICAL MODELS</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>Particle accelerators</topic><topic>PARTICLE MODELS</topic><topic>Physics</topic><topic>Physics of gases, plasmas and electric discharges</topic><topic>Physics of plasmas and electric discharges</topic><topic>PLASMA INSTABILITY</topic><topic>Plasma stability</topic><topic>Plasmas</topic><topic>Simulation</topic><topic>Space charge</topic><topic>STATISTICAL MODELS</topic><topic>SURFACE PROPERTIES</topic><topic>THERMODYNAMIC MODEL</topic><topic>THERMONUCLEAR REACTORS 700208 -- Fusion Power Plant Technology-- Inertial Confinement Technology</topic><topic>THREE-DIMENSIONAL CALCULATIONS</topic><topic>Velocity</topic><topic>Waves, oscillations, and instabilities in plasmas and intense beams</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Krafft, Geoffrey A.</creatorcontrib><creatorcontrib>James W-K. Mark</creatorcontrib><creatorcontrib>Wang, Tai-Sen F.</creatorcontrib><creatorcontrib>Lawrence Berkeley Lab., CA</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Career & Technical Education Database</collection><collection>Access via ABI/INFORM (ProQuest)</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Telecommunications (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>Agricultural & Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>ABI/INFORM Global</collection><collection>Agricultural Science Database</collection><collection>Computing Database</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Telecommunications Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>OSTI.GOV</collection><jtitle>SIAM J. Appl. Math.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krafft, Geoffrey A.</au><au>James W-K. Mark</au><au>Wang, Tai-Sen F.</au><aucorp>Lawrence Berkeley Lab., CA</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Plasmas in Particle Accelerators: A Hydrodynamic Model of Three-Dimensional Electrostatic Instabilities</atitle><jtitle>SIAM J. Appl. Math.; (United States)</jtitle><date>1983-12-01</date><risdate>1983</risdate><volume>43</volume><issue>6</issue><spage>1390</spage><epage>1399</epage><pages>1390-1399</pages><issn>0036-1399</issn><eissn>1095-712X</eissn><coden>SMJMAP</coden><abstract>In an earlier paper, closed hydrodynamic equations were derived with possible application to the simulation of beam plasmas relevant to designs of heavy ion accelerators for inertial confinement fusion energy applications. The closure equations involved a novel feature of anisotropic stresses even transverse to the beam. A related hydrodynamic model is used in this paper to examine further the boundaries of validity of such hydrodynamic approximations. It is also proposed as a useful tool to provide an economic means for searching the large parameter space relevant to three-dimensional stability problems involving coupling of longitudinal and transverse motions in the presence of wall impedance.</abstract><cop>Philadelphia, PA</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/0143092</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0036-1399 |
| ispartof | SIAM J. Appl. Math.; (United States), 1983-12, Vol.43 (6), p.1390-1399 |
| issn | 0036-1399 1095-712X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_23307885 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; LOCUS - SIAM's Online Journal Archive |
| subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY ACCELERATORS Acoustic modes Approximation BOLTZMANN-VLASOV EQUATION DIFFERENTIAL EQUATIONS DISPERSION RELATIONS Electrons EQUATIONS Equilibrium Exact sciences and technology HEAVY ION ACCELERATORS Heavy ions HYDRODYNAMIC MODEL Hydrodynamics I-BEAM TYPE REACTORS INSTABILITY Kinetics Laboratories Laser beams Magnetic fields MATHEMATICAL MODELS PARTIAL DIFFERENTIAL EQUATIONS Particle accelerators PARTICLE MODELS Physics Physics of gases, plasmas and electric discharges Physics of plasmas and electric discharges PLASMA INSTABILITY Plasma stability Plasmas Simulation Space charge STATISTICAL MODELS SURFACE PROPERTIES THERMODYNAMIC MODEL THERMONUCLEAR REACTORS 700208 -- Fusion Power Plant Technology-- Inertial Confinement Technology THREE-DIMENSIONAL CALCULATIONS Velocity Waves, oscillations, and instabilities in plasmas and intense beams |
| title | Plasmas in Particle Accelerators: A Hydrodynamic Model of Three-Dimensional Electrostatic Instabilities |
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