Some examples of possible descriptions of dynamic properties of polymers by means of the coupling model

Rheologica Acta

Volumn 36, Issue 3, 1997, Pages 307-319

  Ngai, Kai L ^a   Plazek, Donald J ^b   Rendell, Ronald W ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b University of Pittsburgh   (United States)

Author keywords

Polymer viscoelasticity; The coupling model; The terminal zone; Thermalrheological complexity

Indexed keywords

EID: 0000577321     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00366672     Document Type: Article

References (99)

1. Adachi K, Nakamoto T, Kotaka T (1989) A dielectric study of the dynamics of polyisoprene trapped in polybutadiene networks. Macromolecules 22:3111-3116
2. Adachi K, Yoshida H, Fukui F, Kotaka T (1990) Study of subchain dynamics by dielectric normal-mode spectroscopy: butadiene-isoprene block copolymers. Macromolecules 23:3138
3. Adachi K, Kotaka T (1990) Mechanical and dielectric relaxations of guest polymer molecules in networks. Polymer Yearbook 6:43-61
4. Adachi K, Nishi I, Doi H, Kotaka T (1991) Study of subchain dynamics by dielectric normal-mode spectroscopy; butadiene-isoprene block copolymers. Macromolecules 24:5843-5850
5. Adachi K, Kotaka T (1993) Dielectric normal mode relaxation. Prog Polym Sci 18:585-622
6. Adachi K, Wada T, Kawamoto T, Kotaka T (1995) Dielectric spectroscopy on dilute blends of polyisoprene/polybutadiene: effects of matrix polybutadiene on the dynamics of probe polyisoprene. Macromolecules 28:3588-3596
7. Arbe A, Colmenero J, Richter D (1996) Materials research society symposium series: Glass and glass-formers: current issues. Ngai KL, Angell CA, Kieffer J, Egami T, Nilhaus U (eds)
8. Bero CA, Roland CM (1996a) Normal mode relaxation in linear and branched polyisoprenes. Macromolecules 29:7521-7526
9. Bero CA, Roland CM (1996b) Terminal relaxations in linear and 3-arm star polyisoprenes. Macromolecules 29:1561-1568
10. Berry G, Fox T (1968) The viscosity of polymers and their concentrated solutions. Adv Polym Sci 5:261-357
11. Boese D, Kremer F (1990) Molecular dynamics in bulk cis-polyisoprene as studied by dielectric spectroscopy. Macromolecules 23:829-835 (1990) ibid 23:1826-1832
12. Boese D, Kremer F (1990) Molecular dynamics in bulk cis-polyisoprene as studied by dielectric spectroscopy. Macromolecules 23:829-835 (1990) ibid 23:1826-1832
13. Bueche FJ (1954) The viscoelastic properties of plastics. Chem Phys 22:603-609
14. Butera R, Fetters LJ, Huang JS, Richter D, Pyckhout-Hintzen W, Zirkel A, Farago B, Ewen B (1991) Microscopic and macroscopic evaluation of fundamental facets of the entanglement concept. Phys Rev Lett 66:2088-2092
15. Cavaille J-Y, Jordan C, Perez J, Monnerie L, Johari G (1987) Time temperature super-position and dynamic mechanical behavior of atactic polystyrene. J Polym Sci, Part B Polym Phys 25:1235-1251
16. Colmenero J, Arbe A, Alegria A (1993) Crossover from Debye to non-Debye dynamical behavior of the α relaxation observed by quasielastic neutron scattering in a glass-forming polymer. Phys Rev Lett 71:2603-2606
17. Colmenero J, Arbe A, Alegria A (1994) The dynamics of the α- and β-relaxations in glass-forming polymers studied by quasielastic neutron scattering and dielectric spectroscopy. J Non-Cryst Solids 172-174:126-133
18. Colmenero J, Arbe A, Coddens G, Frick B, Mijangos C, Reinecke G (1997) Phys Rev Lett (in press)
19. Connelly R (1994) unpublished, see figure in (Ngai and Plazek, 1995)
20. Cramer C, Funke K, Saatkamp T (1995a) Ion dynamics in glass-forming systems: 1: conductivity spectra below the glass transformation temperature. Phil Mag B71:1103-1113
21. Cramer C, Funke K, Buscher M, Happe A (1995b) Phil Mag B71:713
22. Cochrane J, Harrison G, Lamb J, Phillips DW (1980) Creep, creep recovery and dynamic mechanical measurements of a poly(propylene glycol) oligomer. Polymer 21:837-844
23. DeGennes PG (1971) Reptation of a polymer chain in the presence of fixed obstacles. J Chem Phys 55:572-579
24. Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon Press, Oxford
25. Ferry JD (1980) Viscoelastic properties of polymers. 3rd edition John Wiley & Sons, New York
26. Ferry JD (1991) Some reflections on the early development of polymer dynamics: viscoelasticity, dielectric dispersion, and self-diffusion. Macromolecules 24:5237-5242
27. g by dynamic light scattering and shear creep. Macromolecules 21:804-811
28. Graessley WW (1982) Entangled linear, branched and network polymer systems-molecular theories. Adv Polym Sci 47:67-117
29. Gray RW, Harrison B, Lamb J (1977) Dynamic viscoelastic behaviour of low-molecular-mass polystyrene melts. Proc R Society Lond A356:77-102
30. Kohlrausch R (1847) Nachtrag über die elastische Nachwirkung beim Cocon and Glasfaden, etc. Pogg Ann Physics 12(3):393-399
31. Kotaka T, Adachi K (1994) Dielectric studies on the dynamics of polymer chains in various environments. Macromolecular Chem Macromol Symp 79:125-138
32. Kremer K, Grest G (1990) Dynamics of entangled linear polymer melts: a molecular-dynamics simulation. J Chem Phys 92:5057-5086
33. Long VC, Berry GC, Hobbs LM (1964) Solution and bulk properties of branched polyvinylacetate IV-melt viscosity. Polymer 5:517-527
34. MacKay RS, Meiss JD (1987) Hamiltonian dynamical systems. Adam Hilger, Bristol
35. McKenna GB, Ngai KL, Plazek DJ (1985) Differences in the molecular weight and the temperature dependences of self-diffusion and zero shear viscosity in linear polyethylene and hydrogenated polybutadiene. Polymer 26:1651-1653
36. Ngai KL (1979) Universality of low-frequency fluctuation, dissipation and relaxation properties of condensed matter. I. Comments Solid State Phys 9:127-140
37. Ngai KL, White CT (1979) Frequency dependence of dielectric loss in condensed matter. Physical Review B 20:2475-2486
38. Ngai KL, Rendell RW (1982) Stress relaxation and loss moduli measurements in linear and branched polymer systems correlated with steady state viscosity: molecular weight dependences. Polymer Preprints Am Chem Soc, Division of Polymer Chemistry 23:46-47
39. Ngai KL, Plazek DJ (1985) Relation of internal rotational isomerism barriers to the flow activation energy of entangled polymer melts in the high-temperature arrhenius region. J Polym Sci, Polym Phys Ed 23:2159-2180
40. Ngai KL, Plazek DJ (1986) A quantitative explanation of the difference in the temperature dependences of the viscoelastic softening and terminal dispersions of linear amorphous polymers. J Polym Sci, Polym Phys Ed 24:619-632
41. Ngai KL, Strom U (1988) High-frequency dielectric of Naβ-alumina: evidence for relaxation crossover. Phys Rev B 38: 10350-10356
42. Ngai KL, Rendell RW (1991) Toward a theory of relaxation in correlated systems: diffusion in the phase space of a chaotic hamiltonian. J Non-Cryst Solids 131-133: 233
43. Ngai KL, Skolnick J (1991) Correspondence between the coupling model predictions and computer simulations: diffusion of a probe polymer in a matrix having different degrees of polymerization. Macromolecules 24:1561-1566
44. Ngai KL (1992) Structural relaxation and conductivity relaxation in glassy ionics. J Physics (Paris) Colloq C2, 2:61-73
45. Ngai KL, Colmenero J, Arbe A, Alegria A (1992a) Interpretation of anomalous momentum transfer dependences of local chain motion of polymers observed by quasielastic incoherent neutron scattering experiments. Macromolecules 25:6727-6729
46. Ngai K, Schönhals A, Schlosser E (1992c) An explanation of anomalous dielectric relaxation properties of poly(propylene glycol). Macromolecules 25:4915-4919
47. Ngai KL, Peng SL, Tsang KY (1992d) Fractal phase space transport dynamics and relaxations in complex correlated systems. Physica A 191:523-531
48. Ngai KL (1993 a) Relaxational processes in disordered systems. Richert R, Blumen A (eds) Springer Verlag, Berlin, pp 89-150
49. Ngai KL (1993b) Comparisons between coupling model and molecular dynamics simulation for local chain motions in bulk amorphous polymers. J Chem Phys 98:7588-7592
50. Ngai KL, Plazek DJ, Bero C (1993) Viscoelastic properties of a morphous polymers. 2. Anomalous temperature dependence of the steady-state recoverable compliance in low molecular weight polymers. Macromolecules 26:1065-1071
51. Ngai KL, Peng SL, Skolnick J (1992) Generalized Fokker-Planck approach to the coupling model and comparison with computer simulations. Macromolecules 25:2184-2191
52. Ngai KL, Tsang KY (1995a) From chemical structure to viscoelastic properties of polymers. Macromolecular Chem Macromolec Symposium 90:95-129
53. Ngai KL, Plazek DJ (1995b) Identification of different modes of molecular motion in polymers that cause thermorheological complexity. Rubber Chem Tech Rubber Review 68:376-434
54. Ngai KL, Roland CM, Greaves GN (1995c) An interpretation of quasielastic neutron scattering and molecular dynamics simulation results on the glass transition. J Non-Cryst Solids 182:172-179
55. Ngai KL, Cramer C, Saatkamp T, Funke K (1996a) Non-equilibrium phenomena in supercooled fluids, glasses and amorphous materials. Giordona M, Leporini D, Tosi P (eds) World Scientific Singapore 3:21
56. Ngai KL, Plazek DJ, Echeverria I (1996b) Viscoelastic properties of amorphous polymers 6. Local segmental contribution to the recoverable compliance of polymers. Macromolecules 29:1931
57. Ngai KL, Plazek DJ, Rizos AK (1997) Viscoelastic propertis of amorphous polymers 5. A coupling model analysis of the thermorheological complexity of polyisobutylene in the glass-rubber softening dispersion. J Polym Sci Polym Phys Ed 35:599
58. Pakula T, Geyler S (1988) Computer-simulated melts of cyclic polymers. Macromolecules 21:1665-1670
59. Palade LI, Verney V, Attené P (1995) Time-temperature superposition and linear viscoelasticity of polybutadienes. Macromolecules 28:7051-7057
60. Pethrick RA (1983) Ultrasonic studies of macromolecules. Prog Polym Sci 9:197-295
61. Plazek DJ (1965a) Temperature dependence of the viscoelastic behavior of polystyrene. J Phy Chem 69:3480-3487
62. Plazek DJ (1965b) Journal of Physcial Chemistry 69:3480-3487; in this work the statement "The viscous flow in polymers involve more motion parallel to the chain backbone than do retarded elastic conformations." Was made
63. Plazek DJ (1968) Magnetic bearing torsional creep apparatus. J Polym Sci, Part A-29 6:621-638
64. Plazek DJ, O'Rourke VM (1971) Viscoelastic behavior of low molecular weight polystyrene. Journal of Polymer Science, Part A-2 9:209-243
65. Plazek DJ, Riande E, Markovitz H, Raghupathi (1979) Concentration dependence of the viscoelastic properties of polystyrene-tricresyl phoshate solutions. J Polym Sci, Polymer Phys Ed 17:2189-2213
66. Plazek DJ (1980) The temperature dependence of the viscoelastic behavior of poly(vinyl acetate). Polymer J 12:43-53
67. Plazek DJ (1982) The temperatue dependence of the viscoelastic softening and terminal dispersions of linear amorphous polymers. J Polym Sci Polym Phys Ed 20:729
68. Plazek DJ, Plazek DL (1983) Viscoelastic behavior of atatic polypropylene. Macromolecules 16:1469-1475
69. Plazek DJ, Ngai KL, Rendell RW (1984) An application of a unified relaxation model to the aging of polystyrene below its glass temperature. Polymer Engin Sci 24(10):1111-1116
70. Plazek DJ, Ngai KL (1991) Correlation of polymer segmental chain dynamics with temperature dependent time-scale shifts. Macromolecules 24:1222-1224
71. Plazek DJ, Zheng XD, Ngai KL (1992) Viscoelastic properties of amorphous polymers. 1. Different temperature dependences of segmental relaxation and terminal dispersion. Macromolecules 25:4920-4924
72. Plazek DJ, Schlosser E, Schönhals A, Ngai KL (1993) Breakdown of the Rouse model for polymers near the glass transition temperature. J Chem Phys 98:6488-6491
73. Plazek DJ (1993) What's wrong with the moduli Charley Brown? or Get the H out and go to L. J Rheo 36(8):1671-1690
74. Plazek DJ, Bero CA, Neumeister S, Floudas G, Fytas G, Ngai KL (1994) Viscoelastic properties of amorphous polymers 3: low molecular weight poly(methylhenylsiloxane). Colloid Polym Sci 272:1430-1438
75. Plazek DJ, Chay IC, Ngai KL, Roland CM (1995) Viscoelastic properties of polymers 4. Thermorheological complexity of the softening dispersion in polyisobutylene. Macromolecules 28:6432-6436
76. Plazek DJ (1996) 1995 Bingham medal address: Oh, thermorheological simplicity, wherefore art thou? J Rheology 40(6): 987-1014
77. Poh BT, Adachi K, Kotaka T (1987) Solution-cross-linked networks. 1. Swelling and absorption behavior of natural rubber networks. Macromolecules 20:2563-2569
78. Raju VR, Rachapudy H, Graessley WW (1979) Properties of amorphous and crystallizable hydrocarbon polymers. IV. Melt rheology of linear and star-branched hydrogenated polybutadiene. J Polym Sci, Polym Phys Ed 17:1223-1235
79. Read B (1991) Analysis of creep and physical aging in glassy polymers. J Non-Cryst Solids 131-133:408-419
80. Reissig S, Beiner M, Korus J, Schröter K, Donth E (1995) Confirmation of Plazek's slight shoulder in the shear retardation spectrum of poly(vinyl acetate) at the dynamic glass transition. Macromolecules 28:5394-5395
81. Rendell RW, Ngai KL, McKenna GB (1987) Molecular weight and concentration dependences of terminal relaxation time and viscosity of entangled polymer solutions. Macromolecules 20:2250
82. Rendell RW, Ngai KL (1991) Convolution integral formulation of dispersive diffusion transport: numerical solutions for the coupling model waiting time distribution. Journal of Non-Crystalline Solids 131:133-667
83. Rendell RW (1993) Interaction of a relaxing system with a dynamical environment. Physical Review E 48:R17-R20
84. Rendell RW (1994) Role of dynamical cooperativity for an enhanced isotope effect during transport. J Appl Phys 75:7626-7632
85. Rizos A, Jian T, Ngai KL (1995) Determination of the coupling parameter of local segmental motion in poly(isobutylene) by photon correlation spectroscopy. Macromolecules 28:571-521
86. Roland CM, Ngai KL, Lewis LJ (1995) High frequency relaxation of o-terphenyl. J Chem Phys 103:4632-4636
87. Roland CM, Bero C (1996) Normal mode relaxation in linear and branched polyisoprene. Macromolecules 29:7521-7526
88. Russell TP, Deline VR, Dozier WD, Felcher GP, Agrawal G, Wool RP, Mays JW (1993) Direct observation of reptation at polymer interfaces. Nature 365:235-236
89. Santangelo P, Ngai KL, Roland CM (1993) Distinctive manifestations of segmental motion in amorphous poly(tetrahydrofuran) and polyisobutylene. Macromolecules 26:2682-2687
90. Schönhals A (1993) Relation between main and normal mode relaxation for polyisoprene studied by dielectric spectroscopy. Macromolecules 26:1309-1314
91. Skolnick J, Kolinski A (1990) Dynamics of dense polymer systems: computer simulations and analytic theories. Advances in Chemical Physics 78:223-278
92. Tsang KY, Ngai KL (1996) Relaxation in interacting arrays of oscillators. Physical Review E 54:R3067-3071
93. Tsironis GP, Aubry S (1996) Slow relaxation phenomena induced by breathers in non-linear lattices. Phys Rev Lett 77:5225-5229
94. Watanabe H, Urakawa O, Yamada H, Yao M-L (1996) Dielectric relaxation of cis-polyisoprene chains in oligo- and polybutadiene matrices: matrix effects on mode distribution and relaxation time. Macromolecules 29:755-763
95. Watanabe H, Kotaka T (1991) Viscoelastic and related properties of binary polymer blends. Chemtracts-Macromolecular Chemistry 2:139-174
96. Watanabe H, Tirrell M (1989) Reptation with configuration-dependent constraint release in the dynamics of flexible polymers. Macromolecules 22:927-939
97. Watanabe H, Yamazaki M, Yoshida H, Kotaka T (1991) Slow dielectric relaxation of cis-polyisoprene in a polybutadiene matrix. 2. Comparison of experiments and constraint release models. Macromolecules 24:5372-5379
98. Yoshida H, Watanabe H, Adachi K, Kotaka T (1991) Dielectric normal mode process of bifurcated linear cus-polyisoprene. Macromolecules 24:2981-2985
99. Zorn R, Arbe A, Colmenero J, Frick B, Richter D, Buchenau U (1995) Neutron scattering study of the picosecond dynamics of polybutadiene and polyisoprene. Physical Review E 52:781-795