Solitons in polymer physics

Polymer Science - Series C

Volumn 43, Issue 2, 2001, Pages 117-181

  Manevitch, L I ^a  

^a SEMENOV INSTITUTE OF CHEMICAL PHYSICS   (Russian Federation)

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EID: 0141916066     PISSN: None     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (162)

1. Newell, A.C., Solitons in Mathematics and Physics, Soc. for Industrial and Applied Mathematics, 1985.
2. Scott, A., Active and Nonlinear Wave Propagation in Electronics, New York: Wiley-Interscience, 1973.
3. Manevich, L.I., Sorosovskii Obrazovatel'nyi Zhumal, 1996, no. 1, p. 8693.
4. Manevich, L.I., Pakhomova, N.L., Smirnov, V.V., and Ryapusov, O.V., Sov. J. Chem. Phys. (Engl. Transl.), 1991, vol. 8, no. 4, p. 912.
5. Manevich, L.I. and Ryapusov, S.I., Sov. Phys. Solid State (Engl. Transl.), 1992, vol. 34, no. 5, p. 826.
6. Manevich, L.I. and Savin, A.V., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1997, vol. 55, p. 4713.
7. Sumpter, B.G., Noid, D.W., Liang, G.L., and Wunderlich, B., Adv. Polym. Sci., 1994, vol. 116, p. 116.
8. Zhang, F., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1997, vol. 56, p. 6077.
9. Savin, A.V., Manevich, L.I., Christiansen, P.L., and Zolotaryuk, A.V., Phys. Uspekhi, 1999, vol. 42, no. 3, p. 1.
10. Gendelman, O.V. and Manevich, L.I., Macromol. Theory Simul., 1998, vol. 7, no. 6, pp. 579, 591.
11. Gendelman, O.V., Kuporosov, K.E., and Manevich, L.I., Polymer Science, Ser. A, 2000, vol. 42, no. 12, p. 1346.
12. Savin, A.V. and Manevich, L.I., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2000, vol. 61, no. 2, p. 7065.
13. MacKensi, R., Ginder, J.M., and Epstein, A.J., Phys. Rev. B: Condens. Matter, 1991, vol. 44, no. 5, p. 2362.
14. Balabaev, N.K., Gendelman, O.V., and Manevich, L.I., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2001, vol. 64, 036702.
15. Savin, A.V. and Manevich, L.I., Polymer Science, Ser. A, 1998, vol. 40, no. 6, p. 545.
16. Savin, A.V. and Manevich, L.I., Phys. Rev. B: Condens. Matter, 1998, vol. 58, p. 11386.
17. Manevich, L.I., Ginzburg, V.V., and Ryvkina, N.G., Mekh. Kompoz. Mater. (Rizh. Politekh. Inst.), 1991, no. 2, p. 249.
18. Zubova, E.A., Balabaev, N.K., and Manevich, L.I., Zh. Eksp. Teor. Fiz., 1999, vol. 88, p. 586.
19. Zubova, E.A., Balabaev, N.K., Manevich, L.I., and Tsygurov, A.A., J. Exp. Theor. Phys., 2000, vol. 91, p. 515.
20. Rajaraman, R., Solitons and Instantions, Amsterdam: North-Holland, 1982.
21. Bazeia, D. and Ventura, E., Chem. Phys. Lett., 1999, vol. 303, p. 341.
22. Savin, A.V. and Manevich, L.I., Phys. Rev. B: Condens. Matter, 2001, vol. 63, 224303.
23. Zhang, F. and Collins, M.A., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1994, vol. 49, p. 5804.
24. Manevich, L.I. and Savin, A.V, Polymer Science, Ser. A, 1998, vol. 40, no. 5, p. 448.
25. Ginzburg, V.V. and Manevich, L.I., Sov. Phys. Solid State (Engl. Transi.), 1990, vol. 32, no. 4, p. 1401.
26. Frank, F.C., Discuss. Faraday Soc., 1949, vol. 5, no. 1, p. 48.
27. Nabarro, F.R.N., Theory of Crystal Dislocations, London: Oxford Univ. Press, 1967.
28. Kosevich, A.M., The Crystal Lattice: Phonons, Solitons, Dislocations, Berlin: Wiley-VCH, 1999.
29. Ginzburg, V.V. and Manevich, L.I., Polymer Science, 1992, vol. 34, no. 9, p. 782.
30. Manevich, L.I., Pavlenko, A.V., and Koblik, S.G.,Asimptoticheskii metod v teorii upmgosti ortotropnogo tela (Asymptotic Method in the Theory of Elasticity of Orthotropic Body), Kiev: Naukova Dumka, 1981.
31. Ginzburg, V.V. and Manevich, L.I., Polymer Science, 1992. vol. 34, no. 9, p. 786.
32. Ginzburg, V.V. and Manevicli, L.I., Int. J. Fracture, 1993. vol. 64, p. 93.
33. Fermi, E., Pasta, G., and Ulam, S., Studies of Nonlinear Problems. Los Alamos Report, 1940.
34. Krumhansl, J.A. and Schriefer, R., Phys. Rev. B: Condens. Matter, 1975, vol. 11, no. 9, p. 3535.
35. Manevich, L.I. and Smirnov, V.V., Phys. Lett. A, 1992, vol. 165, p. 459.
36. Manevich, L.I. and Smirnov, V.V., J. Phys.: Condens. Matter, 1995, vol. 6, p. 255.
37. Manevich, L.I. and Smirnov, V.V, Sov. J. Chem. Phys. (Engl. Trans!.), 1992, vol. 10, no. 3, p. 587.
38. Manevich, L.I. and Savin, A.V., J. Exp. Theor. Phys., 1995, vol. 80, no. 4, p. 706.
39. Manevich, L.I., Savin, A.V., Smirnov, V.V, and Volkov, S.N., Phys. Uspekhi, 1995, vol. 164, no. 9, p. 937.
40. Manevich, L.I. and Smirnov, V.V, Chem. Rev., 1998, vol. 23, p. 1.
41. Adirovich, E.I., Dokl. Akad. Nauk SSSR, 1961, vol. 136, no. 1, p. 117.
42. Flytzanis, C., Nonlinear Opt. Prop. Org. Polym. Mater., Am. Chem. Soc. Symp. Ser., 1983, vol. 233, p. 167.
43. Heeger, A.J., Kivelson, S., Schrieffer, J.R., and Su, W.-P., Rev. Mod. Phys., 1988, vol. 60, no. 3, p. 781.
44. Scott, A.C., Dynamical Problems in Soliton System, Berlin: Springer, 1984, p. 224.
45. Havriliak, S.J., Jr. and Havriliak, S.J., Handbook of Polymer Properties, New York: AIP, 1996.
46. Havriliak, S.J., Jr. and Havriliak, S.J., Dielectric and Mechanical Relaxation in Materials, New York: Hanser, 1996.
47. Kubo, R., J. Phys. Soc. Jpn., 1957, vol. 12, p. 570.
48. Jounscher, A.K., Dielectric Relaxation in Solids, London: Chelsea Dielectric, 1983.
49. Havriliak, S.J., Jr. and Havriliak, S.J., J. Polym. Sci., Part B: Polym. Phys., 1997, vol. 35, p. 1887.
50. Sayre, J.A., Swanson, S.R., and Boyd, R.R., J. Polym. Sci., Part B: Polym. Phys., 1978, vol. 16, p. 1739.
51. Boyd, R.H., Polymer, 1985, vol. 26, pp. 323, 1123.
52. Mansfield, M.S., Chem. Phys. Lett., 1980, vol. 69, p. 383.
53. Skinner, J.L. and Wolynes, P.G., J. Chem. Phys., 1980, vol. 73, pp. 4015, 4022.
54. Syi, J.-L. and Mansfield, M.L., Polymer, 1988, vol. 29, p. 987.
55. Manevich, L.I. and Ry vkina, N.G., Mechanical Modeling of New Electromagnetic Materials, Amsterdam: Elsevier, 1990.
56. Skinner, J.L. and Park, Y.H., Macromolecules, 1984, vol. 17, p. 1735.
57. Wahlstrand, K.J., J. Chem. Phys., 1985, vol. 82, pp. 5247, 5259.
58. Wahlstrand, K.J., Polymer, 1988, vol. 29, pp. 256, 263.
59. Currie, J.F., Krumhansl, J.A., Bishop, A.R., and Trullinger, S.E., Phys. Rev. B: Condens. Matter, 1980, vol. 22, p. 477.
60. Sahni, P.S. and Mazenko, G.F., Phys. Rev. B: Condens. Matter, 1979, vol. 20, p. 4674.
61. Wada, Y. and Ishiuchi, H., J. Phys. Soc. Jpn., 1981, vol. 51, p. 1372.
62. Marchesoni, F. and Willis, C.R., Phys. Rev. A, 1987, vol. 36, p. 4559.
63. Marchesoni, F. and Willis, C.R., Europhys. Lett., 1990, vol. 12, p. 491.
64. Chung, S.G., Int. J. Mod. Phys. B, 1994, vol. 8, p. 2447.
65. Rublege, G.C. and Suter, H.W., Macromolecules, 1992, vol. 25, p. 1546.
66. Peierls, R., Quantum Theory of Solids, Oxford, 1953.
67. Toda, M., Theory of Nonlinear Lattice, New York: Springer-Verlag, 1981.
68. Bonetto, F., Lebowitz, J.L., and Rey-Bellet, L., Math. Phys., London, 2000, p. 128.
69. Lepri, S., Livi, R., and Politi, A., Phys. Rev. Lett., 1997, vol. 78, no. 10, p. 1896.
70. Jackson, E.S. and Mistriobis, A.D., J. Phys.: Condens. Matter, 1989, vol. 1, no. 7, p. 1223.
71. Nishiquchi, N. and Sakuma, T., J. Phys.: Condens. Matter, 1990, vol. 2, no. 12, p. 7575.
72. Gendelman, O.V. and Manevich, L.I., Sov. Phys. JETP, 1992, vol. 75, no. 2, p. 271.
73. Lepri, S., Livi, R., and Politi, A., Europhys. Lett., 1998, vol. 43, no. 3, p. 273.
74. Prosen, T. and Campbell, D., Phys. Rev. Lett., 2000, vol. 84, no. 13, p. 2857.
75. Lie, B., Zhao, H., and Hu, B., Phys. Rev. Lett., 2001, vol. 86, no. 1, p. 63.
76. Gendelman, O.V. and Savin, A.V., Phys. Rev. Lett., 2000, vol. 84, no. 11, p. 2144.
77. Giardina, C., Livi, R., Politi, A., and Vassabli, M., Phys. Rev. Lett., 2000, vol. 84, no. 10, p. 2144.
78. Hu, B., Lie, B., and Zhao, H., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1998, vol. 57, p. 2992.
79. Mugishima, T., Kogure, Y., Hiki, Y, Kawasaki, K., and Nakamura, H., J. Phys. Soc. Jpn., 1988, vol. 57, no. 6, p. 2069.
80. Baur, H. and Wunderlich, B., Heat Capacities of Linear High Polymers, Berlin: Springer, 1970.
81. Gendel'man, O.V, Kuporosov, K.E., and Manevich, L.I., Polimery 2000 (Polymers 2000), Moscow: Inst. of Chemical Physics, Russ. Acad. Sci., vol. 2, p. 202.
82. Lin, L. and Argon, A.S., J. Mater. Sci., 1994, vol. 29, p. 294.
83. Balabaev, N.K., Metod molekidyarnoi dinamiki v fizicheskoi khimii (Method of Molecular Dynamics in Physical Chemistry), Moscow: Nauka, 1996, p. 258.
84. Balabaev, N.K., Gendel'man, O.V, Mazo, M.A., and Manevich, L.I., Zh. Fiz. Khim., 1995, vol. 69, no. 1, p. 24.
85. Musienko, A.I., Balabaev, N.K., and Manevich, L.I., Dokl. Akad. Nauk, 2000, vol. 372, nos. 4-6, p. 782.
86. Bullough, R. and Tewary, V.K., Dislocations in Solids, Nabarro, F.R.N., Ed., Amsterdam: North-Holland, 1979, vol. 2, p. 1.
87. Foreman, A.J., Jawson, M.A., and Wood, J.K., Proc. Phys. Soc., London, Sect. A, 1951, vol. 64, no. 374, p. 156.
88. Al'shits, V.I. and Indenbom, V.L., Usp. Fiz. Nauk, 1975, vol. 115, no. 1, p. 3.
89. Hirth, J.P. and Lothe, J., Theory of Dislocations, New York: McGraw-Hill, 1968.
90. 90. Musienko, A.I., private communication.
91. Peterson, J.M., J. Appl. Phys., 1968, vol. 39, p. 4920.
92. Bacon, D.J. and Tharmalingam, K.J., J. Mater. Sci., 1983, vol. 18, p. 884.
93. Strobl, G.R., Ewen, B., Fischer, E.W., and Piesczek, W., J. Chem. Phys., 1974, vol. 61, no. 12, p. 5257.
94. Schwickert, H., Strobl, G.R., and Kimmig, M., J. Chem. Phys., 1991, vol. 95, p. 2800.
95. Naghizadeh, J., Adv. Chem. Phys., 1986, vol. 65, p. 45.
96. McCullough, R.L., J. Macromol. Sci., Phys., 1974, vol. 9, no. 1, p. 97.
97. Del Zoppo, M. and Zerbi, G., Polymer, 1992, vol. 33, no. 22, p. 4667.
98. Kimmig, M., Strobl, G., and Stühn, B., Macromolecules, 1994, vol. 27, no. 9, p. 2481.
99. Grossmann, H.P. and Pechhold, W.R., Colloid Polym. Sci., 1986, vol. 264, p. 415.
100. Ginzburg, V.V. and Manevich, L.I., Colloid Polym. Sci., 1991, vol. 269, p. 867.
101. Ginzburg, V.V., Vysokomol. Soedin., Ser. A, 1990, vol. 32, no. 11, p. 2351.
102. Savin, A.V. and Manevich, L.I., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. (in press).
103. Holt, D.B. and Farmer, B.L., Polymer, 1999, vol. 40, p. 4667.
104. Berezinskii, V.L., Sov. Phys. JETP, 1970, vol. 32, p. 493.
105. Kosterlitz, J.M. and Thouless, D.J., J. Phys. C: Solid State Phys., 1973, vol. 6, p. 1181.
106. Halperin, B.I., Les Hauches, Sess. 35, Amsterdam: North-Holland, 1981, p. 813.
107. Strandburg, K.J., Rev. Mod. Phys., 1988, vol. 60, no. 1, p. 161.
108. Copeland, E., Haws, D., Holbraad, S., and Rivers, R., Physica A (Amsterdam), 1991, vol. 179, no. 3, p. 507.
109. Balabaev, N.K., Gendelman, O.V., and Manevich, L.I., Macromol. Symp., 1996, vol. 106, p. 31.
110. Physical Properties of Polymers. Handbook, Mark, J.E., Ed., New York: AIP, 1996.
111. Lushcheikin, G.A., Polimemye elektrety (Polymer Electrets), Moscow: Khimiya, 1984.
112. Takahasi, Y, Matsubare, Y, and Tadakoro, H., Macromolecules, 1982, vol. 15, p. 334.
113. Bachmann, M., Gordon, W.L., Weinhold, S., and Lando, J.B., J. Appl. Phys., 1980, vol. 51, p. 5095.
114. Dvey-Aharon, H., Taylor, P.L., and Hopfinger, A.J., J. Appl. Phys., 1980, vol. 50, p. 5184.
115. Dvey-Aharon, H., Sluchin, T.J., and Taylor, P.L., Phys. Rev. B: Condens. Matter, 1980, vol. 21, p. 3700.
116. Regel', V.R., Slutsker, V.R., and Tomashevskii, E.E., Kineticheskaya priroda prochnosti tverdykh tel (Kinetic Nature of Solid Body Strength), Moscow: Nauka, 1974.
117. Melker, A.I. and Mikhailin, A.I., Fiz. Tverd. Tela (Leningrad), 1984, vol. 26, no. 4, p. 1236.
118. Manevich, L.I., Zarkhin, L.S., and Enikolopian, N.S., J. Appl. Polyin. Sci., 1990, vol. 39, p. 2245.
119. Zarkhin, L.S., Manevich, L.I., and Enikolopian, N.S., Makromol. Chem., Macromol. Symp., 1989, vol. 26, p. 431.
120. Zarkhin, L.S., Sheberstov, S.V., Panfilova, N.V., and Manevich, L.I., Usp. Khim., 1989, vol. 58, no. 4, p. 644.
121. Collins, M,A., Adv. Chem. Phys., 1983, vol. 53, p. 225.
122. Rolfe, T.J., Rice, S.A., and Dancz, J., J. Chem. Phys., 1979, vol. 70, no. 1, p.26.
123. Toda, M., Phys. Lett. C, 1975, vol. 18, no. 1, p. 1.
124. Zhukov, V.S., Pis'ma Zh. Eksp. Teor. Fiz., 1983, vol. 38, no. 11, p. 523.
125. Ratner, M.A. and Gerber, R.B., J. Phys. Chem., 1986, vol. 90, no. 1, p. 20.
126. Zenger, V., Printsip strukturnoi organizatsii nukleinovykh kislot (A Principle of Structural Organization of Nucleic Acids), Moscow: Mir, 1987.
127. Ivanov, V.I., Mol. Biol. (Moscow), 1983, vol. 17, no. 3, p. 616.
128. Blyumenfel'd, L.A., Problemy biologicheskoi fiziki (Problems of Biological Physics), Moscow: Nauka, 1977.
129. Gol'danskii, V.I., Krupyanskii, Yu.V, and Frolov, E.N., Mol. Biol. (Moscow), 1983, vol. 17, no. 3, p. 532.
130. Volkov, S.N., Dokl. Akad. Nauk Ukr. SSR, Ser. A, 1988, no. 8, p. 48.
131. Volkov, S.N., Mol. Biol. (Moscow), 1992, vol. 26, no. 4, p. 835.
132. Volkov, S.N. and Kosevich, A.M., J. Biomol. Struct. Dyn., 1991, vol. 8, no. 5, p. 1069.
133. Volkov, S.N., Theor. Biol., 1990, vol. 143, no. 4, p. 485.
134. Volkov, S.N., Biopolim. Kletka, 1990, vol. 6, no. 4, p. 21.
135. Volkov, S.N., Nonlinear Dynamics of DNA-Type Macromolecules, Preprint of Inst. of Theoretical Physics of Ukraine, Kiev, 1990, no. 89 87R.
136. Yakushevich, L.V., Nonlinear Physics of DNA, New York:Wiley, 1998.
137. Semenov, N.N., Khim. Tekhnol. Polim., 1960, nos. 7-8, p. 196.
138. Korolev, G.V. and Berezin, M.P., Kinetic Manifestation of Associative Structure of Liquid Oligomers in Polymerization and Copolymerization Processes. Mechanisms of Associative Processes and Methods of Spin Probe Measurements, Preprint of Inst. of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 1994.
139. Kaiser, J., Wegner, G., and Fisher, E.W., Isr. J. Chem., 1972, vol. 10.no. 1, p. 157.
140. Leyer, R.J., Wegner, G., and Wetting, W., Ber. Bunsen-Ges. Phys. Chem., 1978, vol. 82, no. 2, p. 697.
141. Schermann, W., Wegner, G., Williams, J.O., and Thomas, J.M., J. Polym. Sci., Part B: Polym. Phys., 1975, vol. 13, no. 3, p. 753.
142. Dudley, M., Sherwood, J.M., Ando, D.J., and Bloor, D., Polydiacetylenes, Dordrecht: Martinus Nijhoff, 1985, p. 87.
143. Bauman, R.H. and Yee, K.C., Macromol. Rev., 1978, vol. 13, no. l, p. 219.
144. Enkelman, R.H., Adv. Polym. Sci., 1984, vol. 63, no. l, p. 91.
145. Astakhova, T.Yu., Vinogradov, G.A., Manevich, L.I., and Smirnov, V.V., Polymer Science, 1992, vol. 34, no. 10,p. 878.
146. Balabaev, N.K., Gendelman, O.V., Mazo, M.A., and Manevich, L.I., Polymer Science, Ser. A, 1996, vol. 38, no. 4, p. 418.
147. Mazo, M.A., Balabaev, N.K., and Oleinik, E.F., Metod molekitlyamoi dinamiki v fizicheskoi khimii (Method of Molecular Dynamics in Physical Chemistry), Moscow: Nauka, 1996, p. 280.
148. Reneker, D.H. and Mazur, J., Polymer, 1988, vol. 29, p. 3.
149. Manevich, L.I. and Ryvkina, N.G., Khim. Fit., 1991, vol. 7, no. 12, p. 2889.
150. Manevich, L.I. and Ryvkina, N.G., Prog. Colloid Poly m. Sci., 1989, vol. 80, p. 78.
151. Manevich, L.I. and Ryvkina, N.G., Vysokomol. Soedin., Ser. A, 1990, vol. 32, no. 3, p. 548.
152. Manevich, L.I. and Ryvkina, N.G., In Nonlinear World, London: World Scientific, 1990, vol. 2, p. 1242.
153. Williams, D.R.M. and Warner, M., J. Phys., 1990, vol. 51, no. 4, p. 317.
154. De Gennes, P.G., Scaling Concepts in Polymer Physics, Ithaca: Cornell Univ. Press, 1979.
155. Rostiashvili, V.G., Physica A (Amsterdam), 1992, vol. 182, p. 557.
156. De Gennes, P.G., J. Chem. Phys., 1980, vol. 72, no. 9.
157. Mitlin, V.S. and Manevich, L.I., J. Polym. Sci., Part B: Polym. Phys., 1990, vol. 28, p. 1.
158. Ginzburg, V.V., Gendelman, O.V., and Manevich, L.I., Phys. Rev. Lett., 2001, vol. 86, no. 22, p. 5073.
159. Manevich, L.I., Mathematical Models of Nonlinear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, New York: Academic, 1999, p. 269.
160. Manevich, L.I., Abstracts of Papers, P roc. 5 Conf. On Dynamical Systems Theory and Application, Lodz, 1999, p. 23.
161. Kosevich, A.M. and Kovalcv, A.S., Vvedenie v nelineinuyu fizicheskuyu mekhaniku (Introduction to Nonlinear Physical Mechanics), Kiev: Naukova Dumka, 1989.
162. Zakharov, V.E., Manakov, S.V., Novikov, S.P., and Pitaevskii, L.P., Teoriya solitonov. Metod obratnoi zadachi (Soliton Theory. Method of Reverse Problem), Moscow: Nauka, 1980.