Birefringence and dielectric relaxation in strong electric fields

Advances in Chemical Physics

Volumn 117, Issue , 2001, Pages 275-481

  Dejardin J L ^a   Kalmykov, Yu P ^a   Dejardin P M ^b  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; FOKKER PLANCK EQUATION; NONLINEAR EQUATIONS;

ROTATIONAL DIFFUSION MODEL; SMOLUCHOWSKI; STEP-ON RESPONSE; STRONG ELECTRIC FIELDS;

DIELECTRIC RELAXATION;

EID: 0001204694     PISSN: 00652385     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (153)

1. J. R. McConnell, Rotational Brownian Motion and Dielectric Theory, Academic, London, 1980.
2. H. Watanabe and A. Morita, in Advances in Chemical Physics, Vol. 56, Wiley, New York, 1984, p. 255.
3. Yu. L. Raikher and M. I. Shliomis, in Advances in Chemical Physics, Vol. 87, W. T. Coffey Ed., I. Prigogine and S. A. Rice (Series Eds.), Wiley, New York, 1994, p. 595.
4. J-L. Déjardin, Dynamic Kerr Effect, World Scientific, Singapore, 1995.
5. J-L. Déjardin and G. Debiais, in Advances in Chemical Physics, Vol. 91, Wiley-Interscience, New York, 1995, p. 241.
6. L. J. Geoghegan, W. T. Coffey, and B. Mulligan, in Advances in Chemical Physics, Vol. 100, Wiley, New York, 1997, p. 475.
7. W. T. Coffey and Yu. P. Kalmykov, in Advances in Liquid Crystals, Vol. 113, A special volume of Advances in Chemical Physics, J. K. Vij, Ed., I. Prigogine and S. A. Rice, Series Eds., Wiley, New York, 2000, pp. 487-551.
8. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation, World Scientific, Singapore, 1996.
9. H. Risken, The Fokker-Planck Equation, Springer, Berlin, 1989.
10. R. E. D. McClung, Adv. Mol. Rel. Int. Proc. 10, 83 (1977).
11. A. I. Burshtein and S. I. Temkin, Spectroscopy of Molecular Rotation in Gases and Liquids, Cambridge University Press, Cambridge, 1994.
12. H. Benoit, Ann. Phys. 6, 561 (1951).
13. H. Goldstein, Classical Mechanics, 2nd ed., Addison-Wesley, Reading, 1980.
14. P. L. Nordio, G. Rigatti, and U. Segre, J. Chem. Phys. 56, 2117 (1971).
15. H. Block and E. F. Hayes, Trans. Faraday. Soc. 66, 2512 (1970).
16. R. L. Fulton, J. Chem. Phys. 78, 6865 (1983);
17. R. L. Fulton, J. Chem. Phys. 78, 6877 (1983).
18. M. Matsumoto, H. Watanabe, and K. Yoshioka, J. Phys. Chem. 74, 2132 (1970).
19. W. M. Tolles, J. Appl. Phys. 46, 991 (1975).
20. K. Tsuji and H. Watanabe, J. Coll. Interface Sci. 62, 101 (1977).
21. K. Kikuchi, J. Phys. Chem. 88, 6328 (1984).
22. H. Watanabe, Y. Fukuda, and T. Nakano, J. Coll. Interface Sci. 108, 347 (1985).
23. W. Alexiewicz, Mol. Phys. 59, 637 (1986).
24. G. B. Thurston and D. L. Bowling, J. Coll. Interface Sci. 30, 34 (1969).
25. S. Ogawa and S. Oka, J. Phys. Soc. Jpn. 4, 658 (1960).
26. A. Morita, Phys. Rev. A 34, 1499 (1986).
27. A. Morita and H. Watanabe, Phys. Rev. A 35, 2690 (1987).
28. L. D. Eskin, Optik. Spektrosk. 45, 1185 (1978)
29. [Optic. Spectrosc. 45, 922 (1978)].
30. I. B. Aizenberg and L. D. Eskin, Optik. Spektrosk. 48, 399 (1980)
31. [Optic. Spectrosc. 48, 222 (1980)].
32. A. Morita, J. Phys. D 11, 1357 (1978).
33. J. L. Déjardin, P. Blaise, and W. T. Coffey, Phys. Rev. E 54, 852 (1996).
34. W. T. Coffey, J. L. Déjardin, Yu. P. Kalmykov, and S. V. Titov, Phys. Rev. E 54, 6462 (1996).
35. Yu. P. Kalmykov, J. L. Déjardin, and W. T. Coffey, Phys. Rev. E 55, 2509 (1997).
36. Yu. P. Kalmykov, Optik. Spektrosk. 84, 1000 (1998)
37. [Optic. Spectrosc. 84, 906 (1998)].
38. Y. H. Lee, D. Kim, S. H. Lee, and W. O. Yung, J. Chem. Phys. 91, 5628 (1989).
39. Yu. L. Raikher, V. I. Stepanov, and S. V. Burylov, Kolloid. Zh. 52, 887 (1990)
40. [Colloid J. USSR 52, 768 (1990)].
41. Yu. L. Raikher, V. I. Stepanov, and S. V. Burylov, J. Coll. Interface Sci. 144, 308 (1991).
42. A. Morita and H. Watanabe, J. Chem. Phys. 77, 1193 (1982).
43. W. Alexiewicz and B. Kasprowicz-Kielich, in Modern Nonlinear Optics, Part I, A Special Volume of Advances in Chemical Physics Vol. 85, M. W. Evans and S. Kielich (Eds.), Wiley, New York, 1995, p. 1.
44. Handbook of Mathematical Functions, M. Abramowitz and I. Stegun, Eds., Dover, New York, 1965.
45. W. T. Coffey, Yu. P. Kalmykov, and E. S. Massawe, Advances in Chemical Physics, Vol. 85, Part 2, I. Prigogine and S. A. Rice (Series Eds.), Wiley, New York, 1993, p. 667.
46. P. Debye, Polar Molecules, Chemical Catalog, Dover, New York, 1929.
47. K. De Smet, L. Hellemans, J. F. Rouleau, R. Courteau, and T. K. Bose, Phys. Rev. E 57, 1384 (1998).
48. P. Kȩdziora, J. Jadżyn, K. De Smet, and L. Hellemans, Chem. Phys. Lett. 289, 541 (1998).
49. J. Jadżyn, P. Kȩdziora, and L. Hellemans, Phys. Lett. 251, 49 (1999).
50. W. T. Coffey and B. V. Paranjape, Proc. R. Ir. Acad. 78A, 17 (1978).
51. J. L. Déjardin, J. Chem. Phys. 98, 3191 (1993).
52. J. L. Déjardin, G. Debiais, and A. Ouadjou, J. Chem. Phys. 98, 8149 (1993).
53. J. L. Déjardin, J. Mag. Magn. Mater. 122, 187 (1993).
54. J. L. Déjardin and G. Debiais, Phys. Rev. A 40, 1560 (1989).
55. J. L. Déjardin and G. Debiais, Physica A 164, 182 (1990).
56. J. L. Déjardin, and Yu. P. Kalmykov, Phys. Rev. E 62, 1211 (2000).
57. M. W. Evans, G. J. Evans, W. T. Coffey, and P. Grigolini, Molecular Dynamics and the Theory of Broad Band Spectroscopy, Wiley, New York, 1982.
58. R. L. Stratonovich, Conditional Markov Processes and Their Application to the Theory of Optimal Control, Elsevier, New York, 1968.
59. C. W. Gardiner, Handbook of Stochastic Methods, Springer, Berlin, 1985.
60. J. L. Déjardin, P. M. Déjardin, Yu. P. Kalmykov, and S. V. Titov, Phys. Rev. E 60, 1475 (1999).
61. Yu. P. Kalmykov, J. Mol. Liquids, 69, 117 (1996);
62. Khim. Fiz. 16(3), 130 (1997)
63. [Chem. Phys. Reports, 16, 535 (1997)].
64. R. N. Zare, Angular Momentum. Understanding Spatial Aspects in Chemistry and Physics, Wiley, New York, 1989.
65. A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, 1957.
66. Yu. P. Kalmykov and S. V. Titov, Phys. Rev. Lett. 82, 2967 (1999).
67. L. Landau and E. Lifchitz, Mécanique Quantique, Mir, Moscow, 1967.
68. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
69. A. Szabo, J. Chem. Phys. 72, 4620 (1980).
70. G. Moro and P. L. Nordio, Mol. Phys. 56, 255 (1985).
71. Yu. P. Kalmykov and J. L. Déjardin, J. Chem. Phys. 110, 6484 (1999).
72. Yu. P. Kalmykov and S. V. Titov, Fiz. Tverd. Tela (St. Petersburg) 40, 1642 (1998)
73. [Phys. Solid State, 40, 1492 (1998)].
74. Yu. P. Kalmykov and S. V. Titov, Zh. Eksp. Teor. Fiz. 115, 101 (1999)
75. [Sov. Phys. JETP 88, 58 (1999)].
76. H. S. Wall, Continued Fractions, Van Nostrand, Princeton, 1969.
77. L. D. Eskin, Izv.Vysh. Uch. Zav., Ser. Math. 9, 131 (1977)
78. W. M. Tolles, R. A. Sanders, and G. W. Fritz, J. Appl. Phys. 45, 3777 (1974).
79. J. L. Déjardin, P. M. Déjardin, and Yu. P. Kalmykov, J. Chem. Phys. 107, 508 (1997).
80. R. Ullman, J. Chem. Phys. 56, 1869 (1972).
81. J. L. Déjardin, Phys. Rev. E 54, 2982 (1996).
82. W. T. Coffey, D. S. F. Crothers, and Yu. P. Kalmykov, Phys. Rev. E 55, 4812 (1997).
83. D. A. Garania Phys. Rev. E 54, 3250 (1996).
84. J. L. Déjardin, P. M. Déjardin, and Yu. P. Kalmykov, J. Chem. Phys. 106, 5824 (1997).
85. J. L. Déjardin, P. M. Déjardin, and Yu. P. Kalmykov, J. Chem. Phys. 106, 5832 (1997).
86. J. L. Déjardin and Yu. P. Kalmykov, Phys. Rev. E 61, 1211 (2000).
87. J. L. Déjardin and Yu. P. Kalmykov, J. Chem. Phys. 112, 2916 (2000).
88. H.-J. Breymayer, H. Risken, H. D. Vollmer, and W. Wonneberger, Appl. Phys. B: Lasers Opt. 28, 335 (1982).
89. W. Schleich, C.-S. Cha, and J. D. Cresser, Phys. Rev. A 29, 230 (1984).
90. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
91. W. T. Coffey, J. L. Déjardin, and Yu. P. Kalmykov, Phys. Rev. E 61, 4599 (2000).
92. W. T. Coffey, J. L. Déjardin, and Yu. P. Kalmykov Phys. Rev. B 62, 3480 (2000).
93. A. D. Buckingham and J. A. Pople, Proc. Phys. Soc. (London), A68, 905 (1955).
94. A. D. Buckingham and B. J. Orr, Quart. Rev. 21, 195 (1967).
95. S. Kielich, Acta Phys. Polon. 17, 239 (1958).
96. A. L. Andrews and A. D. Buckingham, Mol. Phys. 3, 183 (1960).
97. R. J. W. Le Fèvre, Adv. Phys. Org. Chem. 3, 1 (1965).
98. C. J. F. Böttcher and P. Bordewijk, Theory of Electric Polarization, Elsevier, Amsterdam, The Netherlands, 1978.
99. P. A. Franken and J. F. Ward, Rev. Mod. Phys. 35, 23 (1963).
100. B. Kasprowicz-Kielich and S. Kielich, Acta Phys. Polon. A 50, 215 (1975).
101. W. Alexiewicz, Acta Phys. Polon. A 72, 753 (1987).
102. M. A. Pauley, H. W. Guan, and C. H. Wang, J. Chem. Phys. 104, 6834 (1996).
103. I. Ledoux, J. Berdan, J. Zyss, A. Migus, D. Hulin, J. Etchepare, G. Grillon, and A. Antonetti, J. Opt. Soc. Am. B 4, 987 (1987).
104. J. L. Déjardin, P. M. Déjardin, and Yu. P. Kalmykov, J. Chem. Phys. 108, 3081 (1998).
105. C. J. Reid, Mol. Phys. 49, 331 (1983).
106. H. C. Brinkman, Physica 22, 29 (1956).
107. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954).
108. Yu. P. Kalmyfcov, Opt. Spektrosk. 58, 804 (1985)
109. [Opt. Spectrosc. 58, 493 (1985)].
110. E. P. Gross, J. Chem. Phys. 23, 1415 (1955).
111. R. A. Sack, Proc. Phys. Soc. London, B70, 402 (1957).
112. R. A. Sack, Proc. Phys. Soc. London, B70, 414 (1957).
113. R. G. Gordon, J. Chem. Phys. 38, 1724 (1963).
114. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, Benjamin, Reading, MA, 1975.
115. J. Cl. Leicknam, Y. Guissani, and S. Bratos, Phys. Rev. A 21, 1005 (1980).
116. J. Cl. Leicknam and Y. Guissani, Mol. Phys. 42, 1105 (1981).
117. Yu. P. Kalmykov, Izv. Vyssh. Uchebn. Zav. Radiofiz. 32, 1113 (1989).
118. Yu. P. Kalmykov, Phys. Rev. A 45, 7184 (1992).
119. P. M. Déjardin, J. Chem. Phys. 112, 8605 (2000).
120. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Cambridge University Press, Cambridge, 1927.
121. H. Hancock, Lectures on the Theory of Elliptic Functions, New York, Dover, 1958.
122. H. A. Kramers, Physica 7, 284 (1940).
123. Y. P. Kalmykov and S. V. Titov, J. Mol. Struct. 479, 123 (1999).
124. A. J. Martin, G. Meier, and A. Saupe, Faraday Symp. Chem. Soc. 5, 119 (1971).
125. P. L. Nordio, G. Rigatti, and U. Segre, Mol. Phys. 25, 129 (1973).
126. C. Brot and B. Lassier-Govers, Ber. Bunsenges. Phys. Chem. 80, 31 (1976).
127. B. De Raedt and K. H. Michel, Phys. Rev. B 19, 767 (1979).
128. G. Moro and P. L. Nordio, Z. Phys. B 64, 217 (1986).
129. C. Brot and I. Darmon, Mol. Phys. 21, 785 (1971).
130. R. W. Gerling and B. De Raedt, J. Chem. Phys. 77, 6263 (1982).
131. J. L. Déjardin and Yu. P. Kalmykov, J. Chem. Phys. 111, 3644 (1999).
132. W. F. Brown, Jr., IEEE Trans. Mag. 15, 1196 (1979).
133. Yu. L. Raikher and M. I. Shliomis, Zh. Eksp. Teor. Fiz. 67, 1060 (1974)
134. [Sov. Phys. JETP 40, 526 (1974)].
135. C. P. Bean and J. D. Livingston, Suppl. J. Appl. Phys. 30, 1205 (1959).
136. L. Néel, Ann. Géophys. 5, 99 (1949).
137. W. F. Brown, Jr., Phys. Rev. 130, 1677 (1963).
138. T. L. Gilbert, Phys. Rev. 100, 1243 (1956).
139. E. K. Sadykov and A. G. Isavnin, Fiz. Tverd. Tela (St. Petersburg), 38, 2104 (1996)
140. [Phys. Sol. State, 38, 1160 (1996)].
141. Yu. L. Raikher and V. I. Stepanov, Phys. Rev. B 55, 15005 (1997).
142. Yu. P. Kalmykov and S. V. Titov, Fiz. Tverd. Tela (St. Petersburg) 42, 893 (2000)
143. [Phys. Sol. State, 42, 918 (2000)].
144. W. T. Coffey, D. S. F. Crothers, J. L. Déjardin, Yu. P. Kalmykov, Yu. L. Raikher, V. I. Stepanov, and S. V. Titov, Proceedings of the 8th European Magnetic Materials and Applications Conference, Kiev, Ukraine, June 7-10, 2000.
145. Yu. P. Kalmykov and S. V. Titov, Phys. Rev. Lett. 82, 2967 (1999).
146. Yu. P. Kalmykov and S. V. Titov, J. Mag. Magn. Mater. 210, 233 (2000).
147. W. T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov, and J. T. Waldron, Phys. Rev. B 51, 15947 (1995).
148. Yu. P. Kalmykov, Phys. Rev. B. 61, 6205 (2000).
149. P. Kȩdziora, J. Jadżyn, K. De Smet, and L. Hellemans, J. Mol. Liquids 80, 19 (1999).
150. P. Kȩdziora, J. Jadżyn, K. De Smet, and L. Hellemans, Chem. Phys. Lett. 302, 337 (1998).
151. T. Furukawa et K. Matsumoto, Jpn. J. Appl. Phys. 31, 840 (1992).
152. M. W. Evans, J. Chem. Phys. 77, 4632 (1982).
153. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic, New York, 1980.