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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Doi M., See H. — Introduction to Polymer Physics |
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Ïðåäìåòíûé óêàçàòåëü |
Affine deformation assumption 48 61 110
Bead-spring model 7 66 71—75 106
Bead-spring model, Zimm modification 78 (see also “Gaussian chains”)
Birefringence, effect of stress 54 55 104
Blends (of polymers) 38—40
Block copolymers 40—41
Block copolymers, microscopic phase separation in 40 41
Block copolymers, microscopic phase separation in domain size estimation 43—44
Bonds, meaning of term 2
Bonds, orientation, in stretched chains 51—53
Brownian motion and reptation model 96—99
Brownian motion in potential field 67—68
Brownian motion of harmonic oscillator 70—71
Brownian motion of spherical particles 66—67
Brownian motion, bead-spring model used 71—73
Brownian motion, Einstein relation 68—70
Brownian motion, features of Rouse model 73—75
Brownian motion, hydrodynamic interactions accounted for 78
Brownian motion, theory 66—71
Centre of mass (of polymer) 9
Centre of mass (of polymer), motion in concentrated solutions 96—97
Centre of mass (of polymer), motion in dilute solutions 73—74
Chemical gels 45
chemical potential 23—24
chi parameter 14 23
Co-operative diffusion coefficient 90—92
Co-operative diffusion coefficient, concentration dependence 92
Coexistence curves 28 29
Coexistence curves, polymer-polymer mixtures 38—39
Coil-globule transition 15 16
Concentration fluctuation correlation function 30
Concentration fluctuation correlation function, block copolymer uniform phase 41—43
Concentration fluctuation correlation function, miscible systems 39—40
Concentration fluctuations 29—38
Concentration fluctuations, dynamics 89—93
Configuration changes, in lattice model of reptation 100
Constitutive equation 103
Contractual motion (of polymer in tube) 102
Copolymers, block copolymers 40—41
Correlation function see “Concentration fluctuation...; segment pair...; time...; velocity correlation function”
correlation length 35
Correlation length, semidilute solutions 37
Critical point 28—29
Critical point, polymer-polymer mixtures 39
Critical temperature 28
Crosslinking reaction 46
Cylindrical domains, in block copolymers 40 41
Deformation gradient tensor 47 48
Degree of polymerization 1
Diffusion coefficient, concentrated solutions 90—92
Diffusion coefficient, dilute solutions 67 69
Diffusion equation, derivation of 86—87
Dilute solution, molecular motion in 65—88
Dilute solution, single polymer molecule studied 1
Directional order parameter tensor 51
Directional order parameter tensor and stress tensor 54—56
Directional order parameter tensor, calculation of 53
Dynamic light scattering 82—86 89
Dynamic scaling law 81—82
Dynamic structure factor, concentrated solutions 90 91
Dynamic structure factor, dilute solutions 82—83 84
Dynamic structure factor, initial decay rate 92—93
Edwards-de Gennes [‘tube'] model 59 94
Effective bond length 6
Einstein relation 68—70 71
Elastic free energy, rubber 47—48
Elasticity, Kuhn's theory 47—48 50
Elasticity, rubber 46—50
Elasticity, tube model 61—62
End-to-end vector 2
End-to-end vector, probability distribution function 3—4 48 97
Energy, Gaussian chain model 7
Energy, polymer-solvent interactions 12—13
Entangled polymer systems, molecular motion in 89—113
Entanglement effects, and tube model 93—94
Entanglement interactions 20 59—62 89
Entropy of mixing 38
Entropy, stretched chain 51
Escape time 101 (see also “Reptation time”)
Excluded volume chain 10
Excluded volume chain, lattice model 12 13
Excluded volume chain, probability distribution function 11
Excluded volume effect 10—12 92
Excluded volume interactions 4 56 89
Excluded volume interactions in rubber elasticity 56
Excluded volume interactions, screening of 37
Excluded volume parameter 14 35
Extensional characteristic time 102
Extensional motion [of polymer in tube] 102
First normal stress difference 50
First normal stress difference coefficient, variation with shear rate 104
Flory — Huggins theory 21—23 38 56 63
Fluctuation-dissipation theorem 69
Fluorescence microscopy 65
Free energy of mixing 23 26—28 62—63
Free energy, phase-separated system 27
Free energy, rubber elasticity 47—48
Free energy, solutions 23 (see also “Elastic...; Gibbs...; Helmholtz free energy”)
Freely jointed chain 51 52
Gaussian chains 6—7 (see also “Bead-spring model”)
Gaussian probability distribution 4 6
Gelation 45 46
Gels 45—64
Gels, swelling of 62—64
Gibbs free energy 23
Gibbs — Duhem relation 24
Harmonic oscillator, Brownian motion of 70—71
Harmonic spring 7
Helmholtz free energy 23
Hydrodynamic interactions 75 76—82 89
Hydrodynamic radius 16
Hydrodynamic radius, variation with temperature 16
Ideal chain 2—7
Ideal chain, meaning of term 5
Ideal chain, tension in 46
Internal motion of polymer chain 74—75
Isolated polymer molecule, properties 1—19
Kirkwood's equation 85
Kuhn's theory (of rubber elasticity) 47—48 50
Lamellar structure 41 43—44
Langevin equation 68 70 72 107
Lattice model 2 3
Lattice model, concentrated solutions 21 22 30
Lattice model, elasticity of rubber 46
Lattice model, excluded volume chain 12 13
Lattice model, reptation motion 94—96
Light scattering, dynamic effects 82—86
Linear viscoelasticity 105
Long-range interactions 6
Mean field approximation 16 21 32
Melts 20—21 29
Microscopic phase separation, in block copolymers 40 41
| Miscibility parameter 43
Miscible systems, correlation function 39—40
Mixing free energy 23
Mixing free energy and gel swelling 62—63
Mixing free energy and phase separation 26—28
Mobility matrix 70 76—78
Molecular motion in dilute solution 65—88
Molecular motion in entangled polymer systems 89—113
Monomer unit 1
Nematic interactions 57—59
Non-ideal chains 10—16
Non-linear viscoelasticity 112—113
Normal stress difference, first 50
Normal stress difference, second 50
Normalized coordinates 72 74 79 108
Optical anisotropy 54
Orientational order parameter tensor 51
Orientational order parameter tensor and stress tensor 54—56
Ornstein — Zernike type distribution function 10
Oseen tensor 77 84
Osmotic pressure 24—26
Osmotic pressure anomaly 25
Osmotic pressure, semidilute solutions 36—37
Overlap concentration 20 89
Pair correlation function see “Segment pair correlation function”
Partial chains 47
Partial chains, interactions between 56—62
Partition function 21
Phantom chain models 59
Phase diagrams, polymer solution 28
Phase diagrams, polymer-polymer mixtures 38—39
Phase separation (of polymers) 26—29
Phase transitions, microscopic, in block copolymers 40 41
Phase transitions, volume change in gel swelling 64
Physical gels 45
Polymer blends 38—40
Polymer gels 45—64
Polymer melts 20—21 29
Polymer melts, stress optical law 56fn. 104 107
Polymer, meaning of term 1
Potential field, Brownian motion in 67—68
Preaveraging approximation 78
Radius of gyration 8—9
Radius of gyration in semidilute solutions 37—38
Random phase approximation 32—34
Random walk model 2—4
Renormalization theory 16—17
Reptation model 89 94—96
Reptation model, Brownian motion studied using 96—99
Reptation model, fluctuation of tube length 101—103
Reptation model, viscoelasticity 109—113
Reptation time 99 101
Response function 31
Rotational motion, concentrated solutions 97—99
Rotational motion, dilute solutions 74
Rotational relaxation time 74 99
Rouse model 72
Rouse model, comparison with experiments 75
Rouse model, reptation motion 95
Rouse model, viscoelasticity 107—109
Rouse theory 71—73
Rubber 45
Rubber elasticity 46—50
Rubber elasticity, effect of entanglements 59
Rubber elasticity, Kuhn's theory 47—48 50
Rubber elasticity, tube model used 61—62
Rubber, elastic free energy 47—48
Scaling laws 16—19
Scaling laws, dynamic scaling law 81—82
Scaling laws, examples of application 18 35—38
Second normal stress difference 50
Segment pair correlation function 7—8 9—10 18 84
Segments, distribution in polymer chain 7—10
Segments, meaning of term 2
Segments, motion in dilute solution 74—75
Self-avoiding walk 10
Self-diffusion constant 91
Self-diffusion constant, calculation for concentrated solutions 93 97
Self-diffusion constant, concentration dependence 92
Self-diffusion constant, factors affecting 97 98
Semidilute solutions 35—38
Shape memory function 99—101
Shear elastic modulus 49
Shear flow 103 104 108
Shear strain 49
Short-range interactions, effects 4—6
Short-range interactions, meaning of term 6
Solutions see “Concentrated...; dilute...; semidilute solutions”
Solvent effects 12—14
Spherical domains, in block copolymers 40 41
Spherical particles, Brownian motion of 66—67
Spinodal line 28
Spinodal point 43
Spring constant (in bead-spring model) 7 47
Static structure factor 92
Stress optical law 51—56
Stress optical law coefficient 58
Stress optical law, applications 54—55 104
Stress optical law, formula 54
Stress optical law, range of applicability 54 104 107
Stress relaxation experiment, non-linear 112—113
Stress relaxation experiment, stress relaxation function 105 111
Stress relaxation experiment, viscoelastic, polymer liquids 110—112
Stress tensor and viscoelasticity 105—106
Stress tensor in shearing deformation 49
Stress tensor in uniaxial extension 50
Stress-strain relationship, rubber elasticity 48—50
Structural unit 1
Structure factor, dynamic 82—83 84 90 91
Structure factor, static 92
Thermal motion, and elasticity of rubber 46—47
Theta temperature 15 26
Time correlation function 87—88 89—90
Tube model 59—60
Tube model, entanglement effects 93—94
Tube model, rubber elasticity 61—62
Uniaxial extension 49 50
van der Waals forces, interactions due to 13 14
Van't Hoffs law 24—25 26
Velocity correlation function 66 67
Velocity correlation time 66
Viscoelasticity 103
Viscoelasticity, linear 105
Viscoelasticity, microscopic model of stress used 105—107
Viscoelasticity, non-linear 112—113
Viscoelasticity, phenomenological theory 103—105
Viscoelasticity, reptation model used 109—113
Viscoelasticity, Rouse model used 107—109
viscosity 104 105 109
Viscosity, relationship with molecular weight 109 111
Viscosity, variation with shear rate 104
Volume phase transition 64
Zimm theory 78—81
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