Finite orbit energetic particle linear response to toroidal Alfven eigenmodes
The linear response of energetic particles of the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width; when the banana width Δ b is much larger than the mode thickness...
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| Veröffentlicht in: | Physics letters. A 1992-03, Vol.162 (6), p.475-481 |
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| creator | Berk, H.L. Breizman, B.N. Ye, Huanchun |
| description | The linear response of energetic particles of the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width; when the banana width Δ
b is much larger than the mode thickness Δ
m
, we obtain a new compact expression for the linear power transfer. When
Δ
m
/
Δ
b⪡1, the banana orbit effect reduces the power transfer by a factor
Δ
m
/
Δ
b from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balanced-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances (|
v
‖|=
v
A) is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands (|
v
‖|=
v
A/(2
l−1) with
l⩾2) is substantially reduced. |
| doi_str_mv | 10.1016/0375-9601(92)90009-B |
| format | Article |
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b is much larger than the mode thickness Δ
m
, we obtain a new compact expression for the linear power transfer. When
Δ
m
/
Δ
b⪡1, the banana orbit effect reduces the power transfer by a factor
Δ
m
/
Δ
b from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balanced-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances (|
v
‖|=
v
A) is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands (|
v
‖|=
v
A/(2
l−1) with
l⩾2) is substantially reduced.</description><identifier>ISSN: 0375-9601</identifier><identifier>EISSN: 1873-2429</identifier><identifier>DOI: 10.1016/0375-9601(92)90009-B</identifier><identifier>CODEN: PYLAAG</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; 700103 - Fusion Energy- Plasma Research- Kinetics ; 700107 - Fusion Energy- Plasma Research- Instabilities ; ALFVEN WAVES ; ALPHA PARTICLES ; BANANA REGIME ; CHARGED PARTICLES ; CLOSED PLASMA DEVICES ; DISTRIBUTION FUNCTIONS ; Exact sciences and technology ; FUNCTIONS ; HYDROMAGNETIC WAVES ; INSTABILITY ; ORBITS ; PARTICLE LOSSES ; Physics ; Physics of gases, plasmas and electric discharges ; Physics of plasmas and electric discharges ; PLASMA INSTABILITY ; THERMONUCLEAR DEVICES ; TOKAMAK DEVICES ; TRAPPING ; Waves, oscillations, and instabilities in plasmas and intense beams</subject><ispartof>Physics letters. A, 1992-03, Vol.162 (6), p.475-481</ispartof><rights>1992</rights><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-e3da1f1c23bdd94e47ff72b78d19948580e0bfa15ee4c64a1963d1f2a4da3c033</citedby><cites>FETCH-LOGICAL-c411t-e3da1f1c23bdd94e47ff72b78d19948580e0bfa15ee4c64a1963d1f2a4da3c033</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/037596019290009B$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5144687$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/servlets/purl/5300034$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Berk, H.L.</creatorcontrib><creatorcontrib>Breizman, B.N.</creatorcontrib><creatorcontrib>Ye, Huanchun</creatorcontrib><creatorcontrib>Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies</creatorcontrib><title>Finite orbit energetic particle linear response to toroidal Alfven eigenmodes</title><title>Physics letters. A</title><description>The linear response of energetic particles of the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width; when the banana width Δ
b is much larger than the mode thickness Δ
m
, we obtain a new compact expression for the linear power transfer. When
Δ
m
/
Δ
b⪡1, the banana orbit effect reduces the power transfer by a factor
Δ
m
/
Δ
b from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balanced-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances (|
v
‖|=
v
A) is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands (|
v
‖|=
v
A/(2
l−1) with
l⩾2) is substantially reduced.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>700103 - Fusion Energy- Plasma Research- Kinetics</subject><subject>700107 - Fusion Energy- Plasma Research- Instabilities</subject><subject>ALFVEN WAVES</subject><subject>ALPHA PARTICLES</subject><subject>BANANA REGIME</subject><subject>CHARGED PARTICLES</subject><subject>CLOSED PLASMA DEVICES</subject><subject>DISTRIBUTION FUNCTIONS</subject><subject>Exact sciences and technology</subject><subject>FUNCTIONS</subject><subject>HYDROMAGNETIC WAVES</subject><subject>INSTABILITY</subject><subject>ORBITS</subject><subject>PARTICLE LOSSES</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>THERMONUCLEAR DEVICES</subject><subject>TOKAMAK DEVICES</subject><subject>TRAPPING</subject><subject>Waves, oscillations, and instabilities in plasmas and intense beams</subject><issn>0375-9601</issn><issn>1873-2429</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><recordid>eNp9kM1KAzEURoMoWKtv4GIQF7oYTSaZn2yEtlgVKm50HTLJTY1MkyEZCr69GUe6FAJ3c76b-x2ELgm-I5hU95jWZc4rTG54ccsxxjxfHqEZaWqaF6zgx2h2QE7RWYxfiSEV5jP0urbODpD50NohAwdhC4NVWS9DGh1knXUgQxYg9t5FyAafXvBWyy5bdGYPLgO7BbfzGuI5OjGyi3DxN-foY_34vnrON29PL6vFJleMkCEHqiUxRBW01ZozYLUxddHWjSacs6ZsMODWSFICMFUxSXhFNTGFZFpShSmdo6tpr4-DFVGlBupTeedADaKkqR1lCWITpIKPMYARfbA7Gb4FwWL0JkYpYpQieCF-vYllil1PsV5GJTsTpFM2HrIlYaxKYufoYcIg9dxbCOMZ4BRoG8YrtLf___MDPgWBxw</recordid><startdate>19920302</startdate><enddate>19920302</enddate><creator>Berk, H.L.</creator><creator>Breizman, B.N.</creator><creator>Ye, Huanchun</creator><general>Elsevier B.V</general><general>Elsevier Science</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>OIOZB</scope><scope>OTOTI</scope></search><sort><creationdate>19920302</creationdate><title>Finite orbit energetic particle linear response to toroidal Alfven eigenmodes</title><author>Berk, H.L. ; Breizman, B.N. ; Ye, Huanchun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-e3da1f1c23bdd94e47ff72b78d19948580e0bfa15ee4c64a1963d1f2a4da3c033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>700103 - Fusion Energy- Plasma Research- Kinetics</topic><topic>700107 - Fusion Energy- Plasma Research- Instabilities</topic><topic>ALFVEN WAVES</topic><topic>ALPHA PARTICLES</topic><topic>BANANA REGIME</topic><topic>CHARGED PARTICLES</topic><topic>CLOSED PLASMA DEVICES</topic><topic>DISTRIBUTION FUNCTIONS</topic><topic>Exact sciences and technology</topic><topic>FUNCTIONS</topic><topic>HYDROMAGNETIC WAVES</topic><topic>INSTABILITY</topic><topic>ORBITS</topic><topic>PARTICLE LOSSES</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>THERMONUCLEAR DEVICES</topic><topic>TOKAMAK DEVICES</topic><topic>TRAPPING</topic><topic>Waves, oscillations, and instabilities in plasmas and intense beams</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Berk, H.L.</creatorcontrib><creatorcontrib>Breizman, B.N.</creatorcontrib><creatorcontrib>Ye, Huanchun</creatorcontrib><creatorcontrib>Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>Physics letters. A</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Berk, H.L.</au><au>Breizman, B.N.</au><au>Ye, Huanchun</au><aucorp>Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite orbit energetic particle linear response to toroidal Alfven eigenmodes</atitle><jtitle>Physics letters. A</jtitle><date>1992-03-02</date><risdate>1992</risdate><volume>162</volume><issue>6</issue><spage>475</spage><epage>481</epage><pages>475-481</pages><issn>0375-9601</issn><eissn>1873-2429</eissn><coden>PYLAAG</coden><abstract>The linear response of energetic particles of the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width; when the banana width Δ
b is much larger than the mode thickness Δ
m
, we obtain a new compact expression for the linear power transfer. When
Δ
m
/
Δ
b⪡1, the banana orbit effect reduces the power transfer by a factor
Δ
m
/
Δ
b from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balanced-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances (|
v
‖|=
v
A) is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands (|
v
‖|=
v
A/(2
l−1) with
l⩾2) is substantially reduced.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/0375-9601(92)90009-B</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0375-9601 |
| ispartof | Physics letters. A, 1992-03, Vol.162 (6), p.475-481 |
| issn | 0375-9601 1873-2429 |
| language | eng |
| recordid | cdi_osti_scitechconnect_5300034 |
| source | Elsevier ScienceDirect Journals |
| subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY 700103 - Fusion Energy- Plasma Research- Kinetics 700107 - Fusion Energy- Plasma Research- Instabilities ALFVEN WAVES ALPHA PARTICLES BANANA REGIME CHARGED PARTICLES CLOSED PLASMA DEVICES DISTRIBUTION FUNCTIONS Exact sciences and technology FUNCTIONS HYDROMAGNETIC WAVES INSTABILITY ORBITS PARTICLE LOSSES Physics Physics of gases, plasmas and electric discharges Physics of plasmas and electric discharges PLASMA INSTABILITY THERMONUCLEAR DEVICES TOKAMAK DEVICES TRAPPING Waves, oscillations, and instabilities in plasmas and intense beams |
| title | Finite orbit energetic particle linear response to toroidal Alfven eigenmodes |
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