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Bertotti G. Ч Hysteresis in Magnetism: For Physicists, Materials Scientists, and Engineers
Bertotti G. Ч Hysteresis in Magnetism: For Physicists, Materials Scientists, and Engineers

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Ќазвание: Hysteresis in Magnetism: For Physicists, Materials Scientists, and Engineers

јвтор: Bertotti G.

јннотаци€:

The book provides a comprehensive treatment of the physics of hysteresis in magnetish, and of the mathematical tools used to describe it. The relations of hysteresis to Maxwell's equations, equilibrium and non equilibrium thermodynamics, non-linear system dynamics, micromagnetics and domain theory are discussed from a unified viewpoint. These aspects are then applied to the interpretation of magnetization reversal mechanisms: coherent rotation and switching in magnetic particles, stochastic domain wall motion and the Barkhausen effect, coercivity mechanisms and magnetic viscosity, rate-dependent hysteresis and eddy-current losses. Emphasis is given to the connection between basic physical ideas and phenomenological models of interest to applications, and, in particular, to the conceptual path going from Maxwell's equations abnd thermodynamics to micro-magnetics and to Preisach hysteresis modeling.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 1 edition

√од издани€: 1998

 оличество страниц: 558

ƒобавлена в каталог: 12.04.2010

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Accommodation      463
Activation volume in magnetic viscosity      340 382 344(b)
Activation volume in magnetic viscosity and structural disorder      340
Activation volume in magnetic viscosity for bistable system      339Ч340 339(f)
Activation volume in magnetic viscosity for coherent rotation      340Ч341
Aftereffect, magnetic, diffusion-type      330
Aftereffect, magnetic, qualitative description      329
Aftereffect, magnetic, thermal-fluctuation-type      see УMagnetic viscosityФ
Aging, magnetic      330
Alnico alloy      10
Amorphous alloy      10 320 330 347 371 386 22(f)
Amorphous alloy, wire      14 14(f)
AmpereТs Law      75 77 83
Amperian current      see УMagnetization currentФ
Angular momentum, orbital      79
Angular momentum, spin      84
Anhysteretic curve      18 482Ч483 18(f)
Anhysteretic curve of Preisach system      484
Anhysteretic state      18 18(f)
Anhysteretic state of Preisach system      see УPreisach systemФ
Anhysteretic state, thermal versus ac demagnetization      19
Anisotropy axis      146Ч147
Anisotropy axis, symmetry, cubic      150 156
Anisotropy axis, symmetry, uniaxial      147 154
Anisotropy constant of higher order      162(b)
Anisotropy constant of higher order and anisotropy field      153Ч154
Anisotropy constant of higher order and crystal symmetry      154Ч155
Anisotropy constant of higher order and first-order magnetization process      245Ч247 246(f)
Anisotropy constant of higher order and magnetization curve      306
Anisotropy constant of higher order, symmetry, cubic      155Ч156
Anisotropy constant of higher order, symmetry, uniaxial      150Ч153 154(f)
Anisotropy constant, symmetry, cubic      150
Anisotropy constant, symmetry, uniaxial      147
Anisotropy constant, typical values      517(t)
Anisotropy energy in micromagnetics      165 172Ч173
Anisotropy energy, geometrical representation      145Ч146 145(f)
Anisotropy energy, geometrical representation and higher-order terms      155(f)
Anisotropy energy, geometrical representation, symmetry, cubic      151(f) 152(f)
Anisotropy energy, geometrical representation, symmetry, uniaxial      147(f) 148(f)
Anisotropy field and coercivity      348 352
Anisotropy field and higher-order constants      153Ч154
Anisotropy field, symmetry, cubic      150
Anisotropy field, symmetry, uniaxial      149
Anisotropy field, typical values      517(t)
Anisotropy, magnetic      129 144 162(b)
Anisotropy, magnetic, biaxial      235
Anisotropy, magnetic, cubic      149Ч150 155Ч156 299 151(f) 152(f)
Anisotropy, magnetic, easy-axis type      147 154(f)
Anisotropy, magnetic, easy-cone type      153 154(f)
Anisotropy, magnetic, easy-cone type in first-order magnetization process      246
Anisotropy, magnetic, easy-plane type      149 154(f)
Anisotropy, magnetic, effective reduction due to exchange coupling      384Ч386 389(b)
Anisotropy, magnetic, mechanisms giving rise to      156 297 320 386 389(b)
Anisotropy, magnetic, uniaxial      146Ч149 150Ч156 147(f) 148(f) 155(f)
Antiferromagnetism      113 138
Applied field in estimate of coercive field      380 381
Applied field in estimate of magnetic work      110
Applied field in hysteresis loop interpretation      13Ч14
Applied field in magnctostatics      94 96 97 101 108
Applied field in magnetization process      7 21 193
Applied field in micromagnetics      166
Applied field in paramagnetism      5Ч6 131
Approach to equilibrium of bistable system      68Ч69
Approach to equilibrium of Preisach system      498Ч499
Approach to equilibrium of Preisach unit      494
Approach to equilibrium of thermodynamic system      55 63
Approach to equilibrium, qualitative description      27 43
Approach to saturation      316Ч317
Arrhenius formula      68
Arrott plot      140
Astroid in coherent rotation      228Ч232 229(f) 253(b)
Astroid in coherent rotation, geometrical interpretation      230Ч231 231(f)
Astroid in coherent rotation, parametric representation      229Ч230
Astroid in coherent rotation, qualitative description      228Ч229
Astroid in coherent rotation, tangent construction      231Ч232 231(f)
Autocorrelation      519Ч520 521
Autocorrelation of domain wall velocity      280
Autocovariance      520
Barbier plot      382 388(b)
Barkhausen effect      295(b)
Barkhausen effect and internal degrees of freedom      286Ч288
Barkhausen effect and magnetization process      285
Barkhausen effect, amplitude distribution      288 289(f)
Barkhausen effect, example      22(f)
Barkhausen effect, general properties      281Ч286
Barkhausen effect, measurement method      281Ч283 285 288
Barkhausen effect, nonstationarity along hysteresis loop      284Ч285 286(f)
Barkhausen effect, power spectrum      289Ч294 291(f)
Barkhausen effect, power spectrum, theoretical prediction      292Ч294
Barkhausen effect, qualitative description      21Ч23 256Ч257 283(f)
Barkhausen effect, reproducibility over subsequent cycles      283Ч284
Barkhausen effect, self-similar properties      288Ч289 290(f)
Barkhausen effect, stochastic versus average component      282
Barkhausen jump and loss separation      263Ч265 395Ч399
Barkhausen jump and micromagnetics      328
Barkhausen jump as macroscopic instability      14 321 481 483(f)
Barkhausen jump in Barkhausen effect      21 283 289
Barkhausen jump in bistable system      46 433 45(f) 47(f)
Barkhausen jump in coherent rotation      153 237Ч238 240Ч241 237(f) 238(f) 239(f) 240(f)
Barkhausen jump in coherent rotation, negative jump      245
Barkhausen jump in rate-independent hysteresis      43 48
Barkhausen jump in self-similar process, definition      278 279(f)
Barkhausen jump, energy loss      396Ч397
Barkhausen jump, energy loss in bistable system      46Ч48
Barkhausen jump, power-law distribution      278Ч280 294Ч295(b)
Barkhausen jump, typical duration, estimate      396Ч397
Barkhausen noise      see УBarkhausen effectФ
Bessel function      276 354Ч355
Bifurcation set in catastrophe theory      51Ч52 51(f)
Bifurcation set in catastrophe theory for coherent rotation, biaxial anisotropy      235Ч236
Bifurcation set in catastrophe theory for coherent rotation, qualitative description      228Ч229
Bifurcation set in catastrophe theory for coherent rotation, uniaxial anisotropy      229Ч230
Bifurcation set in catastrophe theory for Preisach system      438 437(f)
Biot Ч Savart law      76
Bistable system, hysteresis properties, rate-dependent      57Ч60
Bistable system, hysteresis properties, rate-independent      44Ч48
Bistable system, thermal relaxation      63Ч65 66Ч69 64(f)
Bistable unit as source of Barkhausen jump      433
Bistable unit in magnetic viscosity      333Ч334
Bistable unit in Preisach system      see УPreisach unitФ
Bitter-powder technique      192
Bloch line      203Ч204
Bloch wall      198 202
Bloch wall, asymmetric      202Ч203
Blocking temperature      376
Bohr magneton      84 134
Bowing of domain wall due to eddy currents      418Ч420 419(f) 430(b)
Bowing of domain wall due to pinning      288 309Ч310 362 367 359(f) 388(b)
Bowing of domain wall due to pinning, one-dimensional      367 369Ч370(f)
Bowing of domain wall due to pinning, two-dimensional      369
Bowing of domain wall, interplay of pinning and eddy currents      420
Brillouin function in paramagnetism      134
Brownian motion      273 315 525Ч526 527Ч528
BrownТs equations      179Ч180 387(b)
BrownТs equations, application to domain nucleation      378
BrownТs equations, application to ellipsoidal particle      350Ч353
BrownТs equations, application to magnetic phases in equilibrium      300Ч301 304
BrownТs equations, boundary condition      180
BrownТs equations, dimensionless form      350
BrownТs equations, effective field      179 301
BrownТs equations, linearized form      352Ч353
BrownТs equations, numerical implementation      187(b)
BrownТs paradox      378
BrownТs theorem      352
Bubble domain      215 217 319 216(f) 217(f)
Buckling mode in micromagnetics      355
Cantor dust      294(b)
Catastrophe function      50
Catastrophe theory      48Ч50 69(b)
Catastrophe theory, evolution rules      52Ч54
Chapman Ч Kolmogorov equation      521
Characteristic in partial differential equation      207
Classical field      401 424 402(f) 423(f)
Classical loss      429(b)
Classical loss, dependence on magnetization law      402Ч403
Classical loss, dependence on magnetization law, linear law      404Ч407
Classical loss, dependence on magnetization law, linear law, analytic loss expression      405Ч406
Classical loss, dependence on magnetization law, linear law, frequency dependence      406 407(f)
Classical loss, dependence on magnetization law, linear law, induction profile      406Ч407 408(f)
Classical loss, dependence on magnetization law, linear law, loop shape      405 406(f)
Classical loss, dependence on magnetization law, steplike law      407Ч411 409(f)
Classical loss, dependence on magnetization law, steplike law, analytic loss expression      411
Classical loss, dependence on magnetization law, steplike law, eddy-current density      410
Classical loss, dependence on magnetization law, steplike law, frequency dependence      411
Classical loss, dependence on magnetization law, steplike law, loop shape      410 410(f)
Classical loss, dependence on magnetization law, steplike law, qualitative description      407Ч409
Classical loss, low-frequency limit      399Ч403
Classical loss, low-frequency limit, average loss      400
Classical loss, low-frequency limit, eddy-current density      400
Classical loss, low-frequency limit, frequency dependence      398
Classical loss, low-frequency limit, independence of magnetization law      401
Classical loss, low-frequency limit, instantaneous loss      400 401
Classical loss, low-frequency limit, limit of applicability      402
Classical loss, low-frequency limit, sinusoidal versus triangular induction      400Ч401
Classical loss, MaxwellТs equations for      400 404
Classical loss, qualitative description      26Ч27 392 399
Classical loss, statistical interpretation      398
Closure domain      212 213 212(f)
Coarse graining      m free energy calculation 169
Cobalt      517(t)
Coercive field and energy balance      381 382 383 383(f)
Coercive field and magnetic viscosity      382 388(b)
Coercive field and reversal modes, in ellipsoidal particle      356
Coercive field as function of field angle      378Ч379
Coercive field as function of grain size      383Ч384 386 387(f)
Coercive field as function of particle size      375Ч378 375(f)
Coercive field as function of particle size, and domain processes      377Ч378
Coercive field as function of particle size, and reversal modes      377
Coercive field as function of particle size, near superparamagnetic transition      377
Coercive field in domain wall pinning, definition      362 366
Coercive field in domain wall pinning, dependence on wall extension      366 368 370 372
Coercive field in domain wall pinning, estimate      365Ч366 367Ч371 372 373Ч374
Coercive field in domain wall pinning, power-law form      363
Coercive field in particle assembly      248
Coercive field of bistable system      46
Coercive field, qualitative description      10 347Ч348 374 349(f)
Coercivity      see УCoercive fieldФ
Coherent rotation as reversal mode in micromagnetics      349 353Ч354 354(f)
Coherent rotation as reversal mode in micromagnetics, critical field      354 356(f)
Coherent rotation under alternating field      237(f)
Coherent rotation under alternating field, free energy      239Ч240 239(f)
Coherent rotation under alternating field, hysteresis loop      241Ч242 240(f) 241(f)
Coherent rotation under alternating field, instability point      242 243(f)
Coherent rotation under alternating field, qualitative description      237
Coherent rotation under alternating field, remanence      242
Coherent rotation under alternating field, susceptibility      242
Coherent rotation under rotational field      238 238(f)
Coherent rotation, approach to saturation      316Ч317
Coherent rotation, biaxial anisotropy      235 236(f)
Coherent rotation, energy barrier, field dependence      233
Coherent rotation, energy loss      242Ч245 243(f)
Coherent rotation, energy loss as free energy decrease      244
Coherent rotation, energy loss as hysteresis loop area      245
Coherent rotation, equipotential curve      232Ч233 234(f)
Coherent rotation, free energy      228
Coherent rotation, qualitative description      225Ч226
Coherent rotation, stability analysis      229 230Ч232 235
Confluent hypergeometric function      275
Congruency property as consistency rule for hysteresis      466
Congruency property in domain wall dynamics      465Ч466 470Ч471
Congruency property in magnetic material      463Ч464
Congruency property in Preisach system      434 460 465 460(f) 461(f) 475Ч476(b)
Conservation of electric charge      75
Constitutive law of magnetic medium      14Ч15 16 84 111Ч113 129 111(f)
Constitutive law of magnetic medium and free energy      119
Constitutive law of magnetic medium and magnetic work      94 111
Constitutive law of magnetic medium, dependence on field history in Preisach system      443Ч444 448
Constitutive law of magnetic medium, dependence on field rate due to eddy currents      397
Constitutive law of magnetic medium, dependence on field rate due to thermal relaxation      504Ч505 505(b)
Constitutive law of magnetic medium, dependence on spatial resolution      100 123 392 397 450
Constitutive law of magnetic medium, multivalued, in ferromagnet      112Ч113
Constitutive law of magnetic medium, steplike      114Ч115 115(f)
Control parameter in catastrophe theory      48
Core loss      see УPower lossФ
Correlation region in magnetization process      256 263 266 287 421Ч423
Correlation region in magnetization process, number of active regions      423Ч424 427
Correlation region in magnetization process, number of active regions, dependence on excess field      424Ч425 427
Coulomb gauge in magnetostatics      78
Critical point in catastrophe theory      49
Cross-tie wall      203 204(f)
Crystal field in anisotropy      157
Curie law in paramagnetism      133
Curie point      see УCurie temperatureФ
Curie temperature      6 135
Curie temperature, experimental determination      139
Curie temperature, typical values      5l7(t)
Curie Ч Weiss law      135
Curling mode in micromagnetics      349 354Ч355 354(f)
Curling mode in micromagnetics, critical field      355 356(f)
Current density, microscopic, in magnetized matter      81Ч82
Current density, stationary, in magnetostatics      76
Current density, stationary, in magnetostatics, energy relations      92Ч93
Cusp catastrophe      51Ч52 51(f)
Cusp catastrophe at Curie point      139 140(f)
Cusp catastrophe at Curie point and Arrott plot      139Ч140
Cusp catastrophe in bistable system      52
Cusp catastrophe in coherent rotation      230 251Ч252
Cusp catastrophe in hysteresis loop      482
Delay convention in catastrophe theory      52
Delay convention in catastrophe theory and rate-independent hysteresis      53 61
Demagnetized state      18 307 499
Demagnetized state of particle assembly      249
Demagnetized state of Preisach system      441 454 488 442(f)
Demagnetized state of single crystal      302
Demagnetizing factor      88Ч89 13
Demagnetizing factor of ellipsoid      102(b)
Demagnetizing factor of spheroid      89
Demagnetizing field      88Ч90 13
Demagnetizing field, absence for particular geometry      90
Demagnetizing field, influence on magnetic viscosity      341
Demagnetizing field, scale invariance      90
Diamagnetism      112
Diffusion aftereffect      see УAftereffectФ
dipolar field      79Ч81 98 80(f)
Dipolar field, singularity      80Ч81
Dislocation as pinning source      371Ч372
Dispersion field as pinning source      372Ч374 388(b)
Domain      see УDomain structureФ УMagnetic
Domain in phase mixture      53Ч54
Domain structure      220(b)
Domain structure and excess loss      412 416 420Ч422
Domain structure and magnetoelastic effects      213
Domain structure and structural disorder      218Ч220
Domain structure as local energy minimum      21 205
Domain structure as mechanism of energy reduction      195 212Ч215
Domain structure as phase equilibrium      298 299Ч300
Domain structure as solution of micromagnetic equations      193
Domain structure in ideal soft material in two dimensions      196
Domain structure in picture-frame single crystal      211 257
Domain structure, cubic anisotropy      212Ч213
Domain structure, example      8(f) 28(f) 195(f) 209(f) 211(f) 217(f) 219(f)
Domain structure, uniaxial anisotropy      213Ч217 214(f)
Domain structure, uniaxial anisotropy and anisotropy energy      213
Domain structure, uniaxial anisotropy and magnetostatic energy      213Ч217
Domain theory      192Ч196
Domain theory and micromagnetics      190
Domain theory, energy aspects      194Ч195
Domain theory, limit of applicability      195Ч196
Domain theory, principle of pole avoidance      194Ч195 204Ч205
Domain theory, principle of pole avoidance in two-dimensions      205Ч206
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