Explosive magnetorotational instability in Keplerian disks
Differentially rotating disks under the effect of axial magnetic field are prone to a nonlinear explosive magnetorotational instability (EMRI). The dynamic equations that govern the temporal evolution of the amplitudes of three weakly detuned resonantly interacting modes are derived. As distinct fro...
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| Veröffentlicht in: | Physics of plasmas 2016-06, Vol.23 (6) |
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| creator | Shtemler, Yu Liverts, E. Mond, M. |
| description | Differentially rotating disks under the effect of axial magnetic field are prone to a nonlinear explosive magnetorotational instability (EMRI). The dynamic equations that govern the temporal evolution of the amplitudes of three weakly detuned resonantly interacting modes are derived. As distinct from exponential growth in the strict resonance triads, EMRI occurs due to the resonant interactions of an MRI mode with stable Alfvén–Coriolis and magnetosonic modes. Numerical solutions of the dynamic equations for amplitudes of a triad indicate that two types of perturbations behavior can be excited for resonance conditions: (i) EMRI which leads to infinite values of the three amplitudes within a finite time, and (ii) bounded irregular oscillations of all three amplitudes. Asymptotic explicit solutions of the dynamic equations are obtained for EMRI regimes and are shown to match the numerical solutions near the explosion time. |
| doi_str_mv | 10.1063/1.4953051 |
| format | Article |
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The dynamic equations that govern the temporal evolution of the amplitudes of three weakly detuned resonantly interacting modes are derived. As distinct from exponential growth in the strict resonance triads, EMRI occurs due to the resonant interactions of an MRI mode with stable Alfvén–Coriolis and magnetosonic modes. Numerical solutions of the dynamic equations for amplitudes of a triad indicate that two types of perturbations behavior can be excited for resonance conditions: (i) EMRI which leads to infinite values of the three amplitudes within a finite time, and (ii) bounded irregular oscillations of all three amplitudes. Asymptotic explicit solutions of the dynamic equations are obtained for EMRI regimes and are shown to match the numerical solutions near the explosion time.</description><identifier>ISSN: 1070-664X</identifier><identifier>EISSN: 1089-7674</identifier><identifier>DOI: 10.1063/1.4953051</identifier><identifier>CODEN: PHPAEN</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; AMPLITUDES ; ASYMPTOTIC SOLUTIONS ; Coriolis force ; DISTURBANCES ; Dynamic stability ; EQUATIONS ; EXPLOSIVES ; INSTABILITY ; MAGNETIC FIELDS ; Magnetic resonance ; NONLINEAR PROBLEMS ; NUMERICAL SOLUTION ; PERTURBATION THEORY ; Plasma physics ; RESONANCE ; Resonant interactions ; Rotating disks</subject><ispartof>Physics of plasmas, 2016-06, Vol.23 (6)</ispartof><rights>Author(s)</rights><rights>2016 Author(s). 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Asymptotic explicit solutions of the dynamic equations are obtained for EMRI regimes and are shown to match the numerical solutions near the explosion time.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>AMPLITUDES</subject><subject>ASYMPTOTIC SOLUTIONS</subject><subject>Coriolis force</subject><subject>DISTURBANCES</subject><subject>Dynamic stability</subject><subject>EQUATIONS</subject><subject>EXPLOSIVES</subject><subject>INSTABILITY</subject><subject>MAGNETIC FIELDS</subject><subject>Magnetic resonance</subject><subject>NONLINEAR PROBLEMS</subject><subject>NUMERICAL SOLUTION</subject><subject>PERTURBATION THEORY</subject><subject>Plasma physics</subject><subject>RESONANCE</subject><subject>Resonant interactions</subject><subject>Rotating disks</subject><issn>1070-664X</issn><issn>1089-7674</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp90E1LAzEQBuBFFKzVg_-g4Elh60w2HxtvIvUDC14UvIU0zWrqdrMmabH_3q0t9iB4moF5mGHeLDtFGCLw4hKHVLICGO5lPYRS5oILur_uBeSc09fD7CjGGQBQzspedjX6amsf3dIO5vqtsckHn3RyvtH1wDUx6YmrXVp1_eDRtrUNTjeDqYsf8Tg7qHQd7cm29rOX29HzzX0-frp7uLke56ZgLOVcW24ocAolSKHRVJwRYSaklISCQNONCU6mBixyVlSVpAYNA0GlKNDIop-dbfb6mJyKxiVr3o1vGmuSIoTJUpa4U23wnwsbk5r5Rei-iIogQUEAC-jU-UaZ4GMMtlJtcHMdVgpBrQNUqLYBdvZiY9cnfyL5xUsfdlC10-o__HfzNxxUfNs</recordid><startdate>20160601</startdate><enddate>20160601</enddate><creator>Shtemler, Yu</creator><creator>Liverts, E.</creator><creator>Mond, M.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0002-7250-1897</orcidid></search><sort><creationdate>20160601</creationdate><title>Explosive magnetorotational instability in Keplerian disks</title><author>Shtemler, Yu ; Liverts, E. ; Mond, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-6ae6c406408097a1cf6527cb28924071ce6c21bdc0e1653ff94c1c50749731c93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>AMPLITUDES</topic><topic>ASYMPTOTIC SOLUTIONS</topic><topic>Coriolis force</topic><topic>DISTURBANCES</topic><topic>Dynamic stability</topic><topic>EQUATIONS</topic><topic>EXPLOSIVES</topic><topic>INSTABILITY</topic><topic>MAGNETIC FIELDS</topic><topic>Magnetic resonance</topic><topic>NONLINEAR PROBLEMS</topic><topic>NUMERICAL SOLUTION</topic><topic>PERTURBATION THEORY</topic><topic>Plasma physics</topic><topic>RESONANCE</topic><topic>Resonant interactions</topic><topic>Rotating disks</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shtemler, Yu</creatorcontrib><creatorcontrib>Liverts, E.</creatorcontrib><creatorcontrib>Mond, M.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Physics of plasmas</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shtemler, Yu</au><au>Liverts, E.</au><au>Mond, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Explosive magnetorotational instability in Keplerian disks</atitle><jtitle>Physics of plasmas</jtitle><date>2016-06-01</date><risdate>2016</risdate><volume>23</volume><issue>6</issue><issn>1070-664X</issn><eissn>1089-7674</eissn><coden>PHPAEN</coden><abstract>Differentially rotating disks under the effect of axial magnetic field are prone to a nonlinear explosive magnetorotational instability (EMRI). The dynamic equations that govern the temporal evolution of the amplitudes of three weakly detuned resonantly interacting modes are derived. As distinct from exponential growth in the strict resonance triads, EMRI occurs due to the resonant interactions of an MRI mode with stable Alfvén–Coriolis and magnetosonic modes. Numerical solutions of the dynamic equations for amplitudes of a triad indicate that two types of perturbations behavior can be excited for resonance conditions: (i) EMRI which leads to infinite values of the three amplitudes within a finite time, and (ii) bounded irregular oscillations of all three amplitudes. Asymptotic explicit solutions of the dynamic equations are obtained for EMRI regimes and are shown to match the numerical solutions near the explosion time.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4953051</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0002-7250-1897</orcidid></addata></record> |
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| ispartof | Physics of plasmas, 2016-06, Vol.23 (6) |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY AMPLITUDES ASYMPTOTIC SOLUTIONS Coriolis force DISTURBANCES Dynamic stability EQUATIONS EXPLOSIVES INSTABILITY MAGNETIC FIELDS Magnetic resonance NONLINEAR PROBLEMS NUMERICAL SOLUTION PERTURBATION THEORY Plasma physics RESONANCE Resonant interactions Rotating disks |
| title | Explosive magnetorotational instability in Keplerian disks |
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