The role of bulk pinning in the Clem valley in hysteresis losses in type II superconductors
Measurements of hysteresis losses W(h0, Hb) at several fixed amplitudes h0 versus a static bias magnetic field Hb collinear to h0 and directed along the length or the width of a VTi ribbon which exhibits significant magnetic anisotropy, are reported and are very well reproduced exploiting bulk pinni...
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| Veröffentlicht in: | J. Appl. Phys.; (United States) 1986-05, Vol.59 (9), p.3208-3223 |
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| creator | LEBLANC, M. A. R FILLION, G LORRAIN, J. P |
| description | Measurements of hysteresis losses W(h0, Hb) at several fixed amplitudes h0 versus a static bias magnetic field Hb collinear to h0 and directed along the length or the width of a VTi ribbon which exhibits significant magnetic anisotropy, are reported and are very well reproduced exploiting bulk pinning alone hence neglecting equilibrium diamagnetism and surface barriers. Families of curves of D≡W(h0, Hb)/W(h0,0) vs z≡Hb/h0 at various fixed h0 were calculated for planar and cylindrical geometry, neglecting surface steps, using the simple formulas μ0 jc=dB/dx=α/B, α/B0.5, α/B0.1, α[1−(B/Bc2)], and α/(B+Δ) for the bulk critical current density. For slab geometry and the first four functions listed, the curves of D vs z are independent of h0/H* when h0 |
| doi_str_mv | 10.1063/1.337022 |
| format | Article |
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A. R ; FILLION, G ; LORRAIN, J. P</creator><creatorcontrib>LEBLANC, M. A. R ; FILLION, G ; LORRAIN, J. P ; Physics Department, University of Ottawa, Ottawa, Canada K1N 6N5</creatorcontrib><description>Measurements of hysteresis losses W(h0, Hb) at several fixed amplitudes h0 versus a static bias magnetic field Hb collinear to h0 and directed along the length or the width of a VTi ribbon which exhibits significant magnetic anisotropy, are reported and are very well reproduced exploiting bulk pinning alone hence neglecting equilibrium diamagnetism and surface barriers. Families of curves of D≡W(h0, Hb)/W(h0,0) vs z≡Hb/h0 at various fixed h0 were calculated for planar and cylindrical geometry, neglecting surface steps, using the simple formulas μ0 jc=dB/dx=α/B, α/B0.5, α/B0.1, α[1−(B/Bc2)], and α/(B+Δ) for the bulk critical current density. For slab geometry and the first four functions listed, the curves of D vs z are independent of h0/H* when h0<H* (the first full penetration field) and z<zd with zd dependent on h0/H*. This decoupling of D from h0 occurs when xp, the maximum penetration of the flux disturbance during the cycle of the applied field, does not reach the midplane X. Closed form expressions for W(h0, Hb) developed for slab geometry using dB/dx=α/B confirm this by showing that under these circumstances h0 factors out of the formulas for D. Pursuing the condition xp=X, analytic expressions linking zd and h0/H* are obtained. Graphs of zmin, the locus of the valley minimum and of Dmin, the ratio of Wmin, the losses at the valley minimum to that at Hb=0 are presented. The edge of plateaus displayed by such graphs is determined by letting zmin=zd in the formulas for zd(h0/H*).</description><identifier>ISSN: 0021-8979</identifier><identifier>EISSN: 1089-7550</identifier><identifier>DOI: 10.1063/1.337022</identifier><identifier>CODEN: JAPIAU</identifier><language>eng</language><publisher>Woodbury, NY: American Institute of Physics</publisher><subject>360104 - Metals & Alloys- Physical Properties ; 656102 - Solid State Physics- Superconductivity- Acoustic, Electronic, Magnetic, Optical, & Thermal Phenomena- (-1987) ; ALLOYS ; Applied sciences ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; Cross-disciplinary physics: materials science; rheology ; Exact sciences and technology ; HYSTERESIS ; LOSSES ; MAGNETIC FLUX ; MATERIALS SCIENCE ; Metals, alloys and compounds (a15, 001c15, laves phases, chevrel phases, borocarbides, etc.) ; Metals, semimetals and alloys ; Other techniques and industries ; PENETRATION DEPTH ; Physics ; Properties of type I and type II superconductors ; Specific materials ; Superconducting materials (excluding high-tc compounds) ; Superconductivity ; SUPERCONDUCTORS ; TITANIUM ALLOYS ; TYPE-II SUPERCONDUCTORS ; VANADIUM ALLOYS</subject><ispartof>J. 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A. R</creatorcontrib><creatorcontrib>FILLION, G</creatorcontrib><creatorcontrib>LORRAIN, J. P</creatorcontrib><creatorcontrib>Physics Department, University of Ottawa, Ottawa, Canada K1N 6N5</creatorcontrib><title>The role of bulk pinning in the Clem valley in hysteresis losses in type II superconductors</title><title>J. Appl. Phys.; (United States)</title><description>Measurements of hysteresis losses W(h0, Hb) at several fixed amplitudes h0 versus a static bias magnetic field Hb collinear to h0 and directed along the length or the width of a VTi ribbon which exhibits significant magnetic anisotropy, are reported and are very well reproduced exploiting bulk pinning alone hence neglecting equilibrium diamagnetism and surface barriers. Families of curves of D≡W(h0, Hb)/W(h0,0) vs z≡Hb/h0 at various fixed h0 were calculated for planar and cylindrical geometry, neglecting surface steps, using the simple formulas μ0 jc=dB/dx=α/B, α/B0.5, α/B0.1, α[1−(B/Bc2)], and α/(B+Δ) for the bulk critical current density. For slab geometry and the first four functions listed, the curves of D vs z are independent of h0/H* when h0<H* (the first full penetration field) and z<zd with zd dependent on h0/H*. This decoupling of D from h0 occurs when xp, the maximum penetration of the flux disturbance during the cycle of the applied field, does not reach the midplane X. Closed form expressions for W(h0, Hb) developed for slab geometry using dB/dx=α/B confirm this by showing that under these circumstances h0 factors out of the formulas for D. Pursuing the condition xp=X, analytic expressions linking zd and h0/H* are obtained. Graphs of zmin, the locus of the valley minimum and of Dmin, the ratio of Wmin, the losses at the valley minimum to that at Hb=0 are presented. The edge of plateaus displayed by such graphs is determined by letting zmin=zd in the formulas for zd(h0/H*).</description><subject>360104 - Metals & Alloys- Physical Properties</subject><subject>656102 - Solid State Physics- Superconductivity- Acoustic, Electronic, Magnetic, Optical, & Thermal Phenomena- (-1987)</subject><subject>ALLOYS</subject><subject>Applied sciences</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>HYSTERESIS</subject><subject>LOSSES</subject><subject>MAGNETIC FLUX</subject><subject>MATERIALS SCIENCE</subject><subject>Metals, alloys and compounds (a15, 001c15, laves phases, chevrel phases, borocarbides, etc.)</subject><subject>Metals, semimetals and alloys</subject><subject>Other techniques and industries</subject><subject>PENETRATION DEPTH</subject><subject>Physics</subject><subject>Properties of type I and type II superconductors</subject><subject>Specific materials</subject><subject>Superconducting materials (excluding high-tc compounds)</subject><subject>Superconductivity</subject><subject>SUPERCONDUCTORS</subject><subject>TITANIUM ALLOYS</subject><subject>TYPE-II SUPERCONDUCTORS</subject><subject>VANADIUM ALLOYS</subject><issn>0021-8979</issn><issn>1089-7550</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1986</creationdate><recordtype>article</recordtype><recordid>eNqF0U2LFDEQBuAgCo6r4E8IIuKl16pOT9I5yuDHwIKX9eQhZNIVJ5rpblPdwvx7s86y1yWHguShqHojxGuEawStPuC1Ugba9onYIPS2MdstPBUbgBab3hr7XLxg_gWA2Cu7ET9ujyTLlElOUR7W_FvOaRzT-FOmUS71bZfpJP_6nOl8d3U880KFOLHMEzPxf3eeSe73kteZSpjGYQ3LVPileBZ9Znp1X6_E98-fbndfm5tvX_a7jzdNUGa7NCb2FNEqrUPoD4P1aiAyoM0hoodwQN0Z04do6um9td1gB-V9p8O2jR2iuhJvLn0nXpLjkBYKxzrGSGFxumZhTFvRuwuay_RnJV7cKXGgnP1I08qu7RRqRKjw_QWGUhcsFN1c0smXs0NwdxE7dJeIK31739Nz8DkWP4bED75HMAbgUQa2_otW_wCYi4bu</recordid><startdate>19860501</startdate><enddate>19860501</enddate><creator>LEBLANC, M. A. R</creator><creator>FILLION, G</creator><creator>LORRAIN, J. P</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>19860501</creationdate><title>The role of bulk pinning in the Clem valley in hysteresis losses in type II superconductors</title><author>LEBLANC, M. A. R ; FILLION, G ; LORRAIN, J. P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-7f8ef19366cc8bd9a3dee7067bf1a0cb164778cf7f7f8a994d9d3aa46c52f4113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1986</creationdate><topic>360104 - Metals & Alloys- Physical Properties</topic><topic>656102 - Solid State Physics- Superconductivity- Acoustic, Electronic, Magnetic, Optical, & Thermal Phenomena- (-1987)</topic><topic>ALLOYS</topic><topic>Applied sciences</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>Condensed matter: electronic structure, electrical, magnetic, and optical properties</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>HYSTERESIS</topic><topic>LOSSES</topic><topic>MAGNETIC FLUX</topic><topic>MATERIALS SCIENCE</topic><topic>Metals, alloys and compounds (a15, 001c15, laves phases, chevrel phases, borocarbides, etc.)</topic><topic>Metals, semimetals and alloys</topic><topic>Other techniques and industries</topic><topic>PENETRATION DEPTH</topic><topic>Physics</topic><topic>Properties of type I and type II superconductors</topic><topic>Specific materials</topic><topic>Superconducting materials (excluding high-tc compounds)</topic><topic>Superconductivity</topic><topic>SUPERCONDUCTORS</topic><topic>TITANIUM ALLOYS</topic><topic>TYPE-II SUPERCONDUCTORS</topic><topic>VANADIUM ALLOYS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>LEBLANC, M. A. R</creatorcontrib><creatorcontrib>FILLION, G</creatorcontrib><creatorcontrib>LORRAIN, J. P</creatorcontrib><creatorcontrib>Physics Department, University of Ottawa, Ottawa, Canada K1N 6N5</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>J. Appl. Phys.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>LEBLANC, M. A. R</au><au>FILLION, G</au><au>LORRAIN, J. P</au><aucorp>Physics Department, University of Ottawa, Ottawa, Canada K1N 6N5</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The role of bulk pinning in the Clem valley in hysteresis losses in type II superconductors</atitle><jtitle>J. Appl. Phys.; (United States)</jtitle><date>1986-05-01</date><risdate>1986</risdate><volume>59</volume><issue>9</issue><spage>3208</spage><epage>3223</epage><pages>3208-3223</pages><issn>0021-8979</issn><eissn>1089-7550</eissn><coden>JAPIAU</coden><abstract>Measurements of hysteresis losses W(h0, Hb) at several fixed amplitudes h0 versus a static bias magnetic field Hb collinear to h0 and directed along the length or the width of a VTi ribbon which exhibits significant magnetic anisotropy, are reported and are very well reproduced exploiting bulk pinning alone hence neglecting equilibrium diamagnetism and surface barriers. Families of curves of D≡W(h0, Hb)/W(h0,0) vs z≡Hb/h0 at various fixed h0 were calculated for planar and cylindrical geometry, neglecting surface steps, using the simple formulas μ0 jc=dB/dx=α/B, α/B0.5, α/B0.1, α[1−(B/Bc2)], and α/(B+Δ) for the bulk critical current density. For slab geometry and the first four functions listed, the curves of D vs z are independent of h0/H* when h0<H* (the first full penetration field) and z<zd with zd dependent on h0/H*. This decoupling of D from h0 occurs when xp, the maximum penetration of the flux disturbance during the cycle of the applied field, does not reach the midplane X. Closed form expressions for W(h0, Hb) developed for slab geometry using dB/dx=α/B confirm this by showing that under these circumstances h0 factors out of the formulas for D. Pursuing the condition xp=X, analytic expressions linking zd and h0/H* are obtained. Graphs of zmin, the locus of the valley minimum and of Dmin, the ratio of Wmin, the losses at the valley minimum to that at Hb=0 are presented. The edge of plateaus displayed by such graphs is determined by letting zmin=zd in the formulas for zd(h0/H*).</abstract><cop>Woodbury, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.337022</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0021-8979 |
| ispartof | J. Appl. Phys.; (United States), 1986-05, Vol.59 (9), p.3208-3223 |
| issn | 0021-8979 1089-7550 |
| language | eng |
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| subjects | 360104 - Metals & Alloys- Physical Properties 656102 - Solid State Physics- Superconductivity- Acoustic, Electronic, Magnetic, Optical, & Thermal Phenomena- (-1987) ALLOYS Applied sciences CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Condensed matter: electronic structure, electrical, magnetic, and optical properties Cross-disciplinary physics: materials science rheology Exact sciences and technology HYSTERESIS LOSSES MAGNETIC FLUX MATERIALS SCIENCE Metals, alloys and compounds (a15, 001c15, laves phases, chevrel phases, borocarbides, etc.) Metals, semimetals and alloys Other techniques and industries PENETRATION DEPTH Physics Properties of type I and type II superconductors Specific materials Superconducting materials (excluding high-tc compounds) Superconductivity SUPERCONDUCTORS TITANIUM ALLOYS TYPE-II SUPERCONDUCTORS VANADIUM ALLOYS |
| title | The role of bulk pinning in the Clem valley in hysteresis losses in type II superconductors |
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