206
Index
Equi-vector potential, 30
Equi-vector potential surface, 32, 37
Euler’s equation, 107, 177
F
Faraday’s law, 24
Fine magnetic separator, 161
Fleming’s left-hand rule, 74
Flux cutting, 120, 123, 195
Flux flow, 62, 84
Flux flow resistivity, 65
Flux line spacing, 93
Flux pinning, 6, 69
Force balance, 84, 107
Force-free current, 125
Force-free model, 117, 119
Force-free state, 7, 126, 133
Force-free torque, 146, 149
Force-free torque density, 131
Framework of Maxwell’s theory, 149
Friction, 168
G
Gauss’ law, 12
Generalized differential form of Ampere’s
law, 25
Gibbs energy density, 189
Gibbs free energy density, 56, 190
Ginzburg-Landau equation, 55, 177
Ginzburg-Landau free energy density, 53
Ginzburg-Landau parameter, 62
Ginzburg-Landau theory, 53
Gradient, 15
H
Heavy ion therapy for cancer treatment, 158
Helical flux flow, 138
Helmholtz free energy density, 56, 189
High-gradient magnetic separation, 161
High-temperature superconductor, 201
Hysteresis loss, 84, 100
I
Image charge, 33
Image current, 35
Image method, 33
Induced electric field, 24
Interaction distance, 87, 103
Investigation of antigen-antibody interaction, 160
Irreversibility, 5, 97, 192
J
Josephson’s formula, 62, 118, 137
Josephson’s theory, 119, 142
K
Kinetic energy, 53
L
Labusch parameter, 86, 102
Labusch’s theory, 101
Larkin-Onchinnikov theory., 101
Linear summation, 73, 104
Line tension, 74, 108
London equation, 57
Longitudinal magnetic field effect, 7, 115
Lorentz force, 17, 22, 27, 75, 107
Lower critical field, 51, 62
M
Magnetic cardiograph, 160
Magnetic energy, 44
Magnetic energy density, 45
Magnetic field, 23
Magnetic flux density, 17
Magnetic flux line, 19, 51
Magnetic flux quantum, 59
Magnetic helicity, 128, 198
Magnetic material, 23
Magnetic moment, 16, 47
Magnetic permeability, 23
Magnetic potential, 21, 33, 37
Magnetic pressure, 74, 108
Magnetic Resonance Imaging (MRI), 1, 158
Magnetization, 23, 47, 51, 79
Magnetization of a superconductor, 48
Magnetizing current, 16, 22
Magnetizing current density, 16, 22, 23
Magnetoencephalograph, 160
Maxwell’s equation
(breaking of symmetry), 26
Meissner-Ochsenfeld effect, 29
Meissner state, 51, 57
Mixed state, 51
Motion of magnetic domain wall, 168
N
Nabla, 13
Index
Equi-vector potential, 30
Equi-vector potential surface, 32, 37
Euler’s equation, 107, 177
F
Faraday’s law, 24
Fine magnetic separator, 161
Fleming’s left-hand rule, 74
Flux cutting, 120, 123, 195
Flux flow, 62, 84
Flux flow resistivity, 65
Flux line spacing, 93
Flux pinning, 6, 69
Force balance, 84, 107
Force-free current, 125
Force-free model, 117, 119
Force-free state, 7, 126, 133
Force-free torque, 146, 149
Force-free torque density, 131
Framework of Maxwell’s theory, 149
Friction, 168
G
Gauss’ law, 12
Generalized differential form of Ampere’s
law, 25
Gibbs energy density, 189
Gibbs free energy density, 56, 190
Ginzburg-Landau equation, 55, 177
Ginzburg-Landau free energy density, 53
Ginzburg-Landau parameter, 62
Ginzburg-Landau theory, 53
Gradient, 15
H
Heavy ion therapy for cancer treatment, 158
Helical flux flow, 138
Helmholtz free energy density, 56, 189
High-gradient magnetic separation, 161
High-temperature superconductor, 201
Hysteresis loss, 84, 100
I
Image charge, 33
Image current, 35
Image method, 33
Induced electric field, 24
Interaction distance, 87, 103
Investigation of antigen-antibody interaction, 160
Irreversibility, 5, 97, 192
J
Josephson’s formula, 62, 118, 137
Josephson’s theory, 119, 142
K
Kinetic energy, 53
L
Labusch parameter, 86, 102
Labusch’s theory, 101
Larkin-Onchinnikov theory., 101
Linear summation, 73, 104
Line tension, 74, 108
London equation, 57
Longitudinal magnetic field effect, 7, 115
Lorentz force, 17, 22, 27, 75, 107
Lower critical field, 51, 62
M
Magnetic cardiograph, 160
Magnetic energy, 44
Magnetic energy density, 45
Magnetic field, 23
Magnetic flux density, 17
Magnetic flux line, 19, 51
Magnetic flux quantum, 59
Magnetic helicity, 128, 198
Magnetic material, 23
Magnetic moment, 16, 47
Magnetic permeability, 23
Magnetic potential, 21, 33, 37
Magnetic pressure, 74, 108
Magnetic Resonance Imaging (MRI), 1, 158
Magnetization, 23, 47, 51, 79
Magnetization of a superconductor, 48
Magnetizing current, 16, 22
Magnetizing current density, 16, 22, 23
Magnetoencephalograph, 160
Maxwell’s equation
(breaking of symmetry), 26
Meissner-Ochsenfeld effect, 29
Meissner state, 51, 57
Mixed state, 51
Motion of magnetic domain wall, 168
N
Nabla, 13