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Kossevich A.M. — Crystal Lattice: Phonons, Solitons, Dislocations
Kossevich A.M. — Crystal Lattice: Phonons, Solitons, Dislocations

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Название: Crystal Lattice: Phonons, Solitons, Dislocations

Автор: Kossevich A.M.

Аннотация:

The goal of the book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last few decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanics as a basis of theory of plasticity and numerous technological applications of crystal materials.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 324

Добавлена в каталог: 21.03.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Adiabatic approximation      22
Analytical critical points      115
Anharmonic approximation      135 171
Annihilation operator      160
Atom displacement      21
Atomic localization in crystal      166
Bending waves      62
Born — Karman conditions      34
Boundary between blocks      230
Bragg reflection law      20
Branches of vibrations      28
Bravais lattice      13
Brillouin zone      16
Broken spontaneously symmetry      38
Burgers vector      218
Catastrophe      242
Climb of a dislocation      223 226
Coherent motion of the defect      210
Collective exitations      37
Conical point      108
Creation operator      160
Cross-over situation      82
Crowdion      140
Damping time      258
de Bour parameter      192
Debye frequency      31
Debye frequency, model      31
Debye — Waller factor      186
Defect of crystal lattice      200
Defect of crystal lattice, linear      200
Defect of crystal lattice, point      200
Defect of crystal lattice, quantum      204
Defect of crystal lattice, surface      200
Defecton      204
Density of states      111
Deviator tensor      42
Diagram technique      248
Diffusion of defectons      208
Diffusion of point defects      207
Dilatation center      214
Dipole lattice      57
Disclination      226
Disclination, slope      228
Dislocated crystal      220
Dislocation      218
Dislocation, core      218
Dislocation, density      286 295
Dislocation, dipole      294
Dislocation, edge      218
Dislocation, effective mass tensor      318
Dislocation, flux density      309
Dislocation, line      218
Dislocation, loop      219
Dislocation, melting theory      304
Dislocation, pile-up      295
Dislocation, screw      219
Dislocation, string model      321
Dislocation, tube      218
Dislocation, wall      229
Dispersion law      25
Dispersion law of a polyatomic lattice      72
Dispersion law, decaying      177
Dispersion law, nondecaying      177
Dispersion law, quadratic      31
Displacement vector      21
Distortion tensor      42
Dumb-bell configuration      202
Dynamical matrix      22
Elastic dipole      203
Elasticity moduli tensor      43
Elementary excitations      160
Elementary plasticity carrier      312
Elliptical points      241
Equation of motion      22 75
Equation of phonon motion      187
Frank vector      227
Frenkel pair of defects      201
Frenkel — Kontorova model      139 224
Frequency spectrum      111
Frustration      303
Glide of dislocation      223
Goldstone exitation      38
Green function      123
Green function, advancing      127
Green function, retarding      127
Green tensor      215
Ground state of a crystal      159
Group of translations      11
Group velocity      33
Hamiltonian of effective interaction of harmonic crystal      160
Hamiltonian of phonon interaction      172
Hooke’s law      42
Hyperbolic point      241
Impurity      200
Impurity, interstitial      200
Impurity, substitutional      200
Internal modes      80
Interstitial atom      200
Isofrequency surface      106
Kinematic theory of diffraction      20
Kink      143
Lattice constant      21
Lattice crystal energy      160
Laue equations      19
Layered crystal      62
Lifetime of exitations      259
Lindemann condition      191
Local frequency      236
Local inhomogenity      200
Long-range order      302
Matrix of atomic force constants      22
Mean hydrostatic pressure      42
Miller indices      18
Modes of vibrations      29
Molecular crystal      74 79
Monatomic lattice      12
Nearest neighbor interaction      121
Normal coordinates      35
Normal mode      30
Normal process      173
Occupation number      156
Occupation number, representation      155
Pair correlation function      163
Peierls force      300
Phonon      159 160
Phonon, distribution function      161
Phonon, gas      160
Phonon, interaction      171
Plastic deformation      312
Plastic distorsion      312
Polarization vector      29
Polyatomic lattice      12
Process without recoil      186
Quantization of crystal vibrations      154
Quantum crystal      191 193
Quantum crystal, dilatation      194
Quantum crystal, liquid      193
Quantum crystal, tunneling      194
Quasi-gap      262
Quasi-local frequency      253
Quasi-partical      160
Quasi-wave vector      25
Reciprocal lattice      15
Reciprocal space      15
Reciprocal vector      15
Reduced zone      16
Resolvent      127
Resonance state      244
Scalar elastic field      44
Scalar model      24
Selective summation      258
Separatris      137
Short range correlation      193
Simple lattice      12
Slip plane of a dislocation      223
Slip surface      223
Slowness surface      106
Solitary wave      135
Soliton      137
Space group      14
St. Venant compatibility conditions      41
Stacking fault      230
Starting stress      225
Strain tensor      41
Stress tensor      42
String model      321
Structure factor      180
Topological order      304
Translational mode      147
Translational period      11
Translational vector      11
Tunneling atomic motion      194
Two-component model      70
Umklapp process      173
Unit cell      11
Vacacional mechanism of climb      313
Vacancy      200
Vacancy wave      205
van Hove theorem      117
Velocity of dislocation      309
Vibration of crystal lattice      21
Vibration of crystal lattice, acoustic      73
Vibration of crystal lattice, libration      80
Vibration of crystal lattice, local      236
Vibration of crystal lattice, long-wave      32 38
Vibration of crystal lattice, optical      70 73
Vibration of crystal lattice, orientational      80
Vibration of crystal lattice, quasi-local      253
Vibration of crystal lattice, translational      80
Vibration of crystal lattice, zero lattice      159
Vortex      222
“chain” crystal      63
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