Tensors for Physics

(Marcin) #1

Index 439


Spherical coordinates, 130
Spherical geometry, 79
Spherical harmonic, 160 , 165
Spherical symmetry, 83
Spherical tensor operators, 255
Spherical top molecules, 61
Spherical unit vectors, 158
Spin, 239
Spin averages, 247
Spin density, 98
Spin density matrix, 247
Spin density operator, 247
Spin matrices, 240
Spin operator, 239
Spin particles, 321
Spin tensors, 246
Spin traces, 245
Splay deformations, 285
Spontaneous birefringence, 275
Stability, 360
Static structure factor, 224
Stick-slip parameter, 367
Stokes force, 178
Stokes law, 124
Strain tensor, 305
Streaming double refraction, 322
Stress differences, 329
Stress tensor, 151
Substantial time derivative, 141
Summation convention, 12
Surface area, 67
Surface integrals, 120
Surface of a sphere, 119 , 122
Susceptibility tensors, 27
Symmetric and antisymmetric parts, 33
Symmetric dyadic tensor, 59
Symmetric part, 33
Symmetric tensor, 55
Symmetric top molecules, 61
Symmetric traceless, 55
Symmetric traceless part, 34
Symmetric traceless tensor, 155
Symmetry, 300
Symmetry adapted ansatz, 324 , 331
Symmetry adapted states, 362
Symmetry breaking, 300
Symmetry breaking states, 363
Symmetry relation, 352


T
Tangential component, 30
Tensor divergence, 96


Tensor polarization, 249
Tensor polarizations, 237
Tensor product, 192
Tetradics, 290
Tetrahedral symmetry, 291
Thermal equilibrium, 97
Thermodynamic fluxes, 303
Thermodynamic forces, 303
Thermotropic liquid crystal, 274
Third-order scalar invariant, 359
Thirteen moments approximation, 221
Time-correlation functions, 352
Time derivatives, 28
Time reversal, 30
Time reversal behavior, 301
Torque, 43 , 176
Torque density, 152
Torque on a rotating solid body, 144
Trace of the tensor, 34
Trajectory, 29
Transformation behavior, 384
Transformation matrix, 22
Translation, 16
Transport-relaxation equations, 318
Transverse pressure gradient, 317
Transverse viscosity, 317
Transverse viscosity coefficients, 315
Transverse wave, 101
Triple product, 72
Trouton viscosity, 331
Tumbling, 363
Tumbling parameter, 338 , 348
Turbulence, 329
Twist deformations, 285
Twist viscosity coefficient, 333
Two-particle density, 222
Typical for hydrodynamics, 178

U
Uniaxial ellipsoid, 73
Uniaxial extensional or compressional flow,
330
Uniaxial non-spherical particles, 196
Uniaxial squeeze-stretch field, 86
Uniaxial tensor, 57
Unified theory, 343
Unit vector, 13

V
Van der Waals interaction, 177
Variational principle, 286 , 385
Vector field, 84 , 114
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