Resolving distribution of relaxation times in poly(propylene glycol) on the crossover region

Journal of Applied Physics

Volumn 95, Issue 6, 2004, Pages 3131-3140

  Tuncer, Enis ^a   Furlani, Maurizio ^b,c   Mellander, Bengt Erik ^c  

^a UNIVERSITY OF POTSDAM   (Germany)

^b UPPSALA UNIVERSITY   (Sweden)

^c CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; CRYSTALLIZATION; DATA REDUCTION; DIELECTRIC MATERIALS; ELECTRIC CONDUCTIVITY; HIGH TEMPERATURE EFFECTS; MATHEMATICAL MODELS; MOLECULAR PHYSICS; STATISTICAL METHODS;

LIQUID-GLASS TRANSITIONS; MOLECULAR RELAXATION;

ORGANIC POLYMERS;

EID: 1842479694     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1650888     Document Type: Article

References (82)

1. Impedance Spectroscopy, edited by J. R. Macdonald (Wiley, New York, 1987).
2. E. Tuncer and S. M. Gubański, IEEE Trans. Dielectr. Electr. Insul. 8, 310 (2001).
3. E. Tuncer, S. M. Gubański, and B. Nettelblad, J. Appl. Phys. 92, 4612 (2002).
4. E. Tuncer, S. M. Gubański, and B. Nettelblad, J. Electrost. 56, 449 (2001).
5. K. Binder, Rep. Prog. Phys. 60, 487 (1997).
6. M. Adlers, Licenciate thesis - Tech. rep. LiTH-MAT-R-1998-19, Department of Mathematics, Linköping University, Linköping, Sweden, 1998.
7. L. Landau and E. Lifshitz, Electrodynamics of Continuous Media, 2nd ed, Course of Theoretical Physics, Vol. 8 (Pergamon, New York, 1982).
8. J. Mijovic, M. Sun, and Y. Han, Macromolecules 35, 6417 (2002).
9. G. P. Johari, Polymer 27, 866 (1986).
10. D. Gómez, A. Alegria, A. Arbe, and J. Colmenero, Macromolecules 34, 503 (2001).
11. K. Schröter, R. Unger, S. Reissig, F. Garwe, S. Kahle, M. Beiner, and E. Donth, Macromolecules 31, 8966 (1998).
12. K. Varadarajan and R. F. Boyer, Polymer 23, 314 (1982).
13. A. Schönhals and F. Kremer, J. Non-Cryst. Solids 172-174, 336 (1994).
14. C. León, K. L. Ngai, and C. M. Roland, J. Chem. Phys. 110, 11585 (1999).
15. A. A. Angell, K. L. Ngai, G. B. M. Kenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000).
16. P. K. Dixon, L. Wu, and S. R. Nagel, Phys. Rev. Lett. 65, 1108 (1990).
17. E. Donth, The Glass Transition: Relaxation Dynamics in Liquids and Disordered Materials, Springer Series in Materials Science, Vol. 48 (Springer, Berlin, 2001).
18. E. Donth, J. Non-Cryst. Solids 307-310, 364 (2002).
19. M. Beiner, Macromol. Rapid Commun. 22, 869 (2001).
20. U. Gäfvert, in NORD-IS'96 Nordic Insulation Symposium, Bergen, Elkraftteknikk (Norwegian University of Technology, Trondheim, 1996), pp. 1-20.
21. A. K. Jonscher, Dielectric Relaxation in Solids (Chelsea Dielectric, London, 1983).
22. C. R. Snyder and F. I. Mopsik, J. Appl. Phys. 84, 4421 (1998).
23. D. W. Marquardt, J. Soc. Ind. Appl. Math. 11, 431 (1963).
24. Y. T. Tsai and D. H. Whitmore, Solid State Ionics 7, 129 (1982).
25. J. R. Macdonald and R. L. Hurt, J. Chem. Phys. 84, 496 (1986).
26. E. Tuncer, S. M. Gubański, and B. Nettelblad, J. Appl. Phys. 89, 8092 (2001).
27. H. Keiter and M. Rosenberg, Eur. Phys. J. B 5, 599 (1998).
28. H. Kliem, P. Fuhrmann, and G. Arlt, IEEE Trans. Electr. Insul. 23, 919 (1988).
29. K. Tittelbach-Helmrich, Meas. Sci. Technol. 4, 1323 (1993).
30. M. Carmona, S. Marco, J. Palacín, and J. Samitier, IEEE Trans. Compon. Packing Technol. 22, 238 (1999).
31. S. N. Al-Refaie, Appl. Phys. A: Mater. Sci. Process. A6, 493 (1996).
32. L. A. Dissado and R. M. Hill, J. Chem. Soc., Faraday Trans. 2 80, 291 (1984).
33. S. Capaccioli, L. Lucchesi, P. A. Rolla, and G. Ruggeri, J. Phys.: Condens. Matter 10, 5595 (1998).
34. E. Tuncer and S. M. Gubański, J. Phys.: Condens. Matter 12, 1873 (2000).
35. B. J. Factor, F. I. Mopsik, and C. C. Han, Macromolecules 29, 2318 (1996).
36. C. J. F. Böttcher, Theory of Electric Polarisation (Elsevier, Amsterdam, 1952).
37. V. V. Daniel, Dielectric Relaxation (Academic, London, 1967).
38. J. van Turnhout, Thermally Stimulated Discharge of Polymer Electrets, Tech. Rep. Comm. No. 471, Central Laboratorium (Delft, The Netherlands, 1972).
39. S. Havriliak and S. Negami, J. Polym. Sci., Part C: Polym. Symp. 14, 99 (1966).
40. K. S. Cole and R. H. Cole, J. Chem. Phys. 9, 341 (1941).
41. D. W. Davidson and R. H. Cole, J. Chem. Phys. 19, 1484 (1951).
42. J. G. Kirkwood and R. M. Fuoss, J. Chem. Phys. 9, 329 (1941).
43. K. L. Ngai, A. K. Jonscher, and C. T. White, Nature (London) 277, 185 (1979).
44. A. Schönhals and E. Schlosser, Colloid Polym. Sci. 267, 125 (1989).
45. R. M. Fuoss and J. G. Kirkwood, J. Am. Chem. Soc. 63, 385 (1941).
46. A. K. Jonscher, IEEE Trans. Dielectr. Electr. Insul. 25, 622 (1990).
47. G. Williams and D. C. Watts, in Basic Principles and Progress, edited by P. Diehl, E. Fluck, and R. Kosfeld (Springer, Berlin, 1971), pp. 271-285.
48. G. Williams and D. C. Watts, Trans. Faraday Soc. 66, 80 (1970).
49. See, for example, C. León, K. L. Ngai, and C. M. Roland, J. Chem. Phys. 110, 11585 (1999), which discusses the absence of β relaxation in propylene glycol and its being masked by the α relaxation. The proposed method can be applied to such systems without difficulty.
50. F. D. Morgan and D. P. Lesmes, J. Chem. Phys. 100, 671 (1994).
51. H. Schäfer, E. Sternin, R. Stannarius, M. Arndt, and F. Kremer, Phys. Rev. Lett. 76, 2177 (1996).
52. J. Winterhalter, D. G. Ebling, D. Maier, and J. Honerkamp, J. Comput. Phys. 153, 139 (1999).
53. J. R. Macdonald, J. Chem. Phys. 102, 6241 (1995).
54. J. R. Macdonald, J. Comput. Phys. 157, 280 (2000).
55. J. R. Macdonald, Inv. Prob. 16, 1561 (2000).
56. S. M. F. D. Mustapha and T. N. Phillips, J. Phys. D 33, 1219 (2000).
57. N. G. McCrum, B. E. Read, and G. Williams, Anelastic and Dielectric Effects in Polymeric Solids, dover ed. (Wiley, London, 1967).
58. P. Debye, Polar Molecules (Dover, New York, 1945).
59. 9 W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
60. L. Breiman, Probability, Addison-Wesley Series in Statistics (Addison-Wesley, Reading, MA, 1968).
61. M. Loéve, Probability Theory I, Graduate Texts in Mathematics, No. 45, 4th ed. (Springer, Berlin, 1977).
62. C. Walter, Math. Comput. Modell. 29, 37 (1999).
63. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1970), Vol. 2.
64. E. Barkai, R. Silbey, and G. Zumofen, Phys. Rev. Lett. 84, 5339 (2000).
65. E. Barkai, R. Silbey, and G. Zumofen, Phys. Rev. Lett. 91, 075021 (2002).
66. Y. Furukawa, Y. Nakai, and N. Kunitomi, J. Phys. Soc. Jpn. 62, 306 (1993).
67. A. M. Stoneham, Rev. Mod. Phys. 41, 82 (1969).
68. Different forms of probability density functions for Lévy statistics exists; we have adopted a stable distribution used in L. Breiman, Probability, Addison-Wesley Series in Statistics (Addison-Wesley, Reading, MA, 1968); M. Loéve, Probability Theory I, Graduate Texts in mathematics No. 45, 4th ed. (Springer, Berlin, 1977); C. Walter, Math. Comput. Modell. 29, 37 (1999). We omit the imaginary parts in the characteristic function because of their insignificance in the results.
69. Different forms of probability density functions for Lévy statistics exists; we have adopted a stable distribution used in L. Breiman, Probability, Addison-Wesley Series in Statistics (Addison-Wesley, Reading, MA, 1968); M. Loéve, Probability Theory I, Graduate Texts in mathematics No. 45, 4th ed. (Springer, Berlin, 1977); C. Walter, Math. Comput. Modell. 29, 37 (1999). We omit the imaginary parts in the characteristic function because of their insignificance in the results.
70. Different forms of probability density functions for Lévy statistics exists; we have adopted a stable distribution used in L. Breiman, Probability, Addison-Wesley Series in Statistics (Addison-Wesley, Reading, MA, 1968); M. Loéve, Probability Theory I, Graduate Texts in mathematics No. 45, 4th ed. (Springer, Berlin, 1977); C. Walter, Math. Comput. Modell. 29, 37 (1999). We omit the imaginary parts in the characteristic function because of their insignificance in the results.
71. E. Butkov, Mathematical Physics, Addison-Wesley Series in Advanced Physics (Addison-Wesley, Menlo Park, 1968).
72. 2.
73. A. V. Tobolsky, Properties and Structure of Polymers (Wiley, New York, 1960).
74. H. Fröhlich, Theory of Dielectrics; Dielectric Constant and Dielectric Loss, 2nd ed. (Oxford Science, Oxford, 1958).
75. M. Strømme-Mattsson, G. A. Niklasson, K. Forsgren, and A. Hårsta, J. Appl. Phys. 85, 2185 (1999).
76. I. K. Moon, Y. H. Jeong, and T. Furukawa, Thermochim. Acta 377, 97 (2001).
77. A. Schönhals, F. Kremer, A. Hofmann, E. W. Fischer, and E. Schlosser, Phys. Rev. Lett. 70, 3459 (1993).
78. R. Kohlrausch, Annalen der Physik und der Physikalischen Chemie 91, 179 (1854).
79. J. C. Phillips, Rep. Prog. Phys. 59, 1133 (1996).
80. M. Dionisio, A. C. Fernandes, J. F. Mano, N. T. Correia, and R. C. Sousa, Macromolecules 33, 1002 (2000).
81. C. J. Wang, Y. N. Huang, W. X. Zhang, J. Guzmön, A. Nogales, T. Ezguerra, Y. N. Wang, and E. Riande, Phys. Status Solidi A 193, 357 (2002).
82. Y. Huang, E. Saiz, T. A. Ezquerra, J. Guzman, and E. Riande, Macromolecules 35, 1785 (2002).