Abstract
AbstractThe basic result of the coupling model consists of a cross‐over from exp‐(t/τo) to exp‐(t/τ*)1‐n at a temperature insensitive microscopic time tc. We indicate how this basic result can be derived from chaotic, interacting Hamiltonian systems which include densely packed polymer molecules. Recent quasielastic neutron scattering experiments and molecular dynamics simulations are discussed and the results are shown to support this result as well. An application of the coupling model to find how the viscoelasticity of a polymer depends on the chemical structure of the monomer through the coupling parameter of the local segmental motion is given to illustrate the utility of the model.
References
72
Referenced
17
{'key': 'e_1_2_1_2_2', 'first-page': '127', 'volume': '9', 'author': 'Ngai K. L.', 'year': '1979', 'journal-title': 'Comments Solid State Phys.'}
/ Comments Solid State Phys. by Ngai K. L. (1979)10.1103/PhysRevB.20.2475
- A. K.Rajagopal K. L.NgaiandS.Teitler J. Phys. C.
{'key': 'e_1_2_1_5_2', 'first-page': '387', 'volume-title': 'Non‐Debye Relaxation in Condensed Matter', 'author': 'Ngai K. L.', 'year': '1987'}
/ Non‐Debye Relaxation in Condensed Matter by Ngai K. L. (1987){'key': 'e_1_2_1_6_2', 'volume': '12', 'author': 'Kohlrausch R.', 'year': '1847', 'journal-title': 'Ann. Phys. (Leipzig)'}
/ Ann. Phys. (Leipzig) by Kohlrausch R. (1847)10.1039/tf9706600080
10.1103/PhysRevB.30.2133
{'key': 'e_1_2_1_9_2', 'volume': '2159', 'author': 'Ngai K. L.', 'year': '1985', 'journal-title': 'J. Polym. Sci. Polym. Phys.'}
/ J. Polym. Sci. Polym. Phys. by Ngai K. L. (1985)10.1016/0032-3861(85)90280-0
10.1021/ma00238a032
10.1002/polb.1986.090240310
10.1007/978-3-642-78576-4_4
10.1016/0378-4371(85)90064-0
10.1016/0378-4371(88)90225-7
10.1063/1.454662
{'key': 'e_1_2_1_17_2', 'volume-title': 'Statistical Theories of Spectra: Fluctuations', 'author': 'Porter C. E.', 'year': '1965'}
/ Statistical Theories of Spectra: Fluctuations by Porter C. E. (1965){'key': 'e_1_2_1_18_2', 'volume-title': 'Random Matrices and the Statistical Theory of Energy Levels', 'author': 'Mehta M. L.', 'year': '1967'}
/ Random Matrices and the Statistical Theory of Energy Levels by Mehta M. L. (1967)10.1007/978-1-4613-2443-0_17
10.1103/PhysRevLett.48.1086
{'key': 'e_1_2_1_21_2', 'first-page': '165', 'volume-title': 'Fundamental Problems in Statistical Mechanics', 'author': 'Helleman R.H.G.', 'year': '1980'}
/ Fundamental Problems in Statistical Mechanics by Helleman R.H.G. (1980)10.1016/0003-4916(81)90189-5
10.1098/rspa.1989.0052
10.1007/978-1-4612-0983-6
10.1109/TEI.1986.349068
{'key': 'e_1_2_1_26_2', 'volume-title': 'Handbook of Conductivity Polymers', 'author': 'Ngai K. L.', 'year': '1986'}
/ Handbook of Conductivity Polymers by Ngai K. L. (1986)- Der Spiegel cover page of Nr38/47 Jahrgang 27 September 1993
{'key': 'e_1_2_1_28_2', 'volume-title': 'Classical Mechanics', 'author': 'Goldstein H.', 'year': '1980'}
/ Classical Mechanics by Goldstein H. (1980)10.1016/0378-4371(92)90576-C
- K. Y.TsangandK. L.Ngai submitted toPhys. Rev. E.
- K. Y.TsangandK. L.Ngai submitted toPhys. Rev. E.
- L. J.LewisandG.Wahnström Phys. Rev. E (1994) in press
10.1063/1.466588
10.1007/978-1-4757-2184-3
{'key': 'e_1_2_1_35_2', 'volume-title': 'Statistical Mechanics', 'author': 'Kubo R.', 'year': '1987'}
/ Statistical Mechanics by Kubo R. (1987){'key': 'e_1_2_1_36_2', 'volume-title': 'Equilibrium ans Nonequilibrium Statistical Mechanics', 'author': 'Balescu R.', 'year': '1975'}
/ Equilibrium ans Nonequilibrium Statistical Mechanics by Balescu R. (1975)10.1103/PhysRev.75.1169
10.1016/0167-2789(84)90440-8
10.1016/0375-9601(84)90245-7
10.1103/PhysRevLett.55.908
10.1016/0167-2789(86)90014-X
10.1103/PhysRevLett.42.1189
10.1103/PhysRevLett.62.1335
10.1063/1.102774
10.1016/0167-2789(91)90054-D
10.1103/PhysRevLett.68.2265
10.1142/S0218127493000684
10.1016/0022-5193(67)90051-3
10.1103/PhysRevLett.68.2730
10.1103/PhysRevLett.71.2603
10.1016/0378-4371(93)90398-N
10.1103/PhysRevLett.69.478
10.1021/ma00050a056
10.1002/polb.1991.090291206
- J.Colmenero private communication(1994)
10.1063/1.458139
- L. J.LewisandG.Wahnström Phys. Rev. E (1994) in press.
10.1063/1.466588
{'key': 'e_1_2_1_59_2', 'volume-title': 'Solid State Physics', 'author': 'Ashcroft N. W.', 'year': '1976'}
/ Solid State Physics by Ashcroft N. W. (1976)10.1021/ma00077a019
{'key': 'e_1_2_1_61_2', 'volume-title': 'Handbook of Polymer Properties', 'author': 'Ngai K. L.'}
/ Handbook of Polymer Properties by Ngai K. L.10.1063/1.466117
- R.Rizos T.Jian G.FytasandK. L.Ngai Macromolecules in press.
10.1021/ma00005a044
10.1021/ma00045a016
{'key': 'e_1_2_1_66_2', 'first-page': '1605', 'volume': '26', 'author': 'Ngai K. L.', 'year': '1993', 'journal-title': 'Macromolecules'}
/ Macromolecules by Ngai K. L. (1993)10.1149/1.2427514
{'key': 'e_1_2_1_68_2', 'volume-title': 'Viscoelastic Properties of Polymers', 'author': 'Ferry D. J.', 'year': '1980'}
/ Viscoelastic Properties of Polymers by Ferry D. J. (1980){'key': 'e_1_2_1_69_2', 'first-page': '3', 'volume-title': 'Relaxations in Complex Systems', 'author': 'Angell C. A.', 'year': '1984'}
/ Relaxations in Complex Systems by Angell C. A. (1984)10.1021/ma00077a019
10.1002/polb.1986.090240310
10.1002/pol.1971.160090202
10.1021/ma00178a018
Dates
Type | When |
---|---|
Created | 14 years, 6 months ago (March 7, 2011, 4:46 a.m.) |
Deposited | 1 year, 10 months ago (Oct. 26, 2023, 10:56 p.m.) |
Indexed | 1 year, 7 months ago (Feb. 6, 2024, 7:43 a.m.) |
Issued | 30 years, 7 months ago (Feb. 1, 1995) |
Published | 30 years, 7 months ago (Feb. 1, 1995) |
Published Online | 14 years, 6 months ago (March 4, 2011) |
Published Print | 30 years, 7 months ago (Feb. 1, 1995) |
@article{Ngai_1995, title={From chemical structure to viscoelastic properties of polymers}, volume={90}, ISSN={1521-3900}, url={http://dx.doi.org/10.1002/masy.19950900109}, DOI={10.1002/masy.19950900109}, number={1}, journal={Macromolecular Symposia}, publisher={Wiley}, author={Ngai, K. L. and Tsang, Kwok Yeung}, year={1995}, month=feb, pages={95–129} }