RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1988

 / 

November

←  →

Reviews of topical problems


Statistical physics of liquid-crystalline polymers

,  a
a Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

The current status of the physics of liquid-crystalline polymers is reviewed. Major attention is paid to the theory of the nematic state of solutions and melts of polymers of varying architecture, and also of polyelectrolytes. The conditions for phase equilibrium in solutions and melts and the elastic properties of systems are studied, as well as light scattering in the region of a nematic phase transition and the dynamic properties of rigid-chain polymers.

Fulltext pdf (999 KB)
Fulltext is also available at DOI: 10.1070/PU1988v031n11ABEH005643
PACS: 61.30.Vx, 62.10.+s, 64.75.+g, 78.35.+c, 61.30.Cz (all)
DOI: 10.1070/PU1988v031n11ABEH005643
URL: https://ufn.ru/en/articles/1988/11/b/
Citation: Semenov A N, Khokhlov A R "Statistical physics of liquid-crystalline polymers" Sov. Phys. Usp. 31 988–1014 (1988)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Семенов А Н, Хохлов А Р «Статистическая физика жидкокристаллических полимеров» УФН 156 427–476 (1988); DOI: 10.3367/UFNr.0156.198811b.0427

References (161) ↓ Cited by (151) Similar articles (20)

  1. P. G. de Gennes The Physics Of Liquid Crystals (Clarendon Press, Oxford, 1974); P. G. de Gennes (Russ. Transl. (Mir, M., 1977)
  2. S. Chandrasekhar Liquid Crystals (Cambridge University Press, 1977); S. Chandrasekhar (Russ. Trans. (Mir, M., 1980)
  3. S. P. Papkov and V. G. Kulichikhin The Liquid-Crystalline State Of Polymers (Khimiya, M., 1977), (in Russian)
  4. S. P. Papkov and V. G. Kulichikhin Liquid-Crystalline Order In Polymers A. Blumshtein ed (Academic Press, N.Y., 1978); Russ. transl., S. P. Papkov and V. G. Kulichikhin Liquid-Crystalline Order In Polymers (Mir, M., 1981)
  5. S. P. Papkov and V. G. Kulichikhin Liquid Crystal Polymers, Adv. Polym. Sci. 59 M. Gordon and N. A. Plate eds 60/61 (1984)
  6. N. A. Plate and V. P. Shibaev Comblike Polymers And Liquid Crystals (Khimiya, M., 1980), (in Russian)
  7. L. Onsager Ann. N. Y. Acad. Sci. 51 627 (1949)
  8. J. P. Straley Mol. Cryst. Liq. Cryst. 24 7 (1973)
  9. J. P. Straley Ibid. 22 333 (1973)
  10. A. Yu. Grosberg and A. R. Khokhlov Adv. Polym. Sci. 41 53 (1981)
  11. R. F. Kayser and H. J. Raveche Phys. Rev. A 17 2067 (1978)
  12. G. Lasher J. Chem. Phys. 53 4141 (1970)
  13. J. D. Parsons Phys. Rev. A 19 1225 (1979)
  14. R. Alben Mol. Cryst. Liq. Cryst. 13 193 (1971)
  15. M. A. Cotter J. Chem. Phys. 66 1098 (1977)
  16. M. A. Cotter ibid. p. 4710
  17. J. G. Kirkwood and P. L. Auer J. Chem. Phys. 19 281 (1951)
  18. P. J. Flory Proc. R. Soc. London A 234 73 (1956)
  19. P. J. Flory and G. Ronca Mol. Cryst. Liq. Cryst. 54 289,311 (1979)
  20. E. A. Di Marzio J. Chem. Phys. 35 658 (1961)
  21. R. Zwanzig Ibid. 39 1714 (1963)
  22. M. A. Cotter Mol. Cryst. Liq. Cryst. 35 33 (1976)
  23. O. J. Heilmann and E. H. Lieb J. Stat. Phys. 20 679 (1979)
  24. R. Deblieck and H. Lekkerkerker J. Phys. Lett. (Paris) 41 351 (1980)
  25. J. K. Moscicki and G. Williams Polymer 24 85 (1983)
  26. H. Lekkerkerker, P. Coulon, and R. Van der Haegen J. Chem. Phys. 80 3427 (1984)
  27. T. Odijk and H. Lekkerkerker J. Chem. Phys. 89 2090 (1985)
  28. W. E. McMullen, W. M. Gelbart, and A. Ben-Shaul Ibid. 82 5616 (1985)
  29. P. J. Flory and A. Abe Macromolecules 11 1119 (1978)
  30. A. Abe and P. J. Flory Ibid. 1122
  31. P. J. Flory and R. S. Frost Ibid. 1126
  32. R. S. Frost and P. J. Flory Ibid. 1134
  33. T. Odijk Ibid. 19 2313 (1986)
  34. A. R. Khokhlov Phys. Lett. A 68 135 (1978)
  35. A. R. Khokhlov Vysokomol. Soedin. Ser. B 21 201 (1979)
  36. A. R. Khokhlov and A. N. Semenov Physica Ser. A 108 546 (1981)
  37. A. R. Khokhlov and A. N. Semenov Macromolecules 17 2678 (1984)
  38. A. R. Khokhlov and A. N. Semenov Physica Ser. A 112 605 (1982)
  39. S. K. Nechaev, A. N. Semenov, and A. R. Khokhlov Vysokomol. Soedin. Ser. A 25 1063 (1983); S. K. Nechaev, A. N. Semenov, and A. R. Khokhlov Polymer Sci. USSR 25 (1983)
  40. I. M. Lifshitz Zh. Eksp. Teor. Fiz. 55 2408 (1968); I. M. Lifshitz Sov. Phys. JETP 28 1280 (1969)
  41. I. M. Lifshitz, A. Yu. Grosberg, and A. R. Khokhlov Usp. Fiz. Nauk 127 353 (1979); I. M. Lifshitz, A. Yu. Grosberg, and A. R. Khokhlov Sov. Phys. Usp. 22 353 (1979)
  42. A. Yu. Grosberg and A. R. Khokhlov Sov. Sci. Rev. Sect. A. Phys. Rev. 8 (1986)
  43. P. J. Flory Macromolecules 11 1141 (1978)
  44. R. R. Matheson and P. J. Flory Ibid. 14 954 (1981)
  45. T. M. Birshtein and A. A. Merkur'eva Vysokomol. Soedin. Ser. A 27 1208 (1985); T. M. Birshtein and A. A. Merkur'eva Polymer Sci. USSR 27 (1985)
  46. A. N. Semenov and A. R. Khokhlov Ibid. Ser. B 24 534 (1982)
  47. A. R. Khokhlov and A. N. Semenov J. Phys. A 15 1361 (1982)
  48. L. D. Landau and E. M. Lifshitz Statistical Physics (Pergamon Press, Oxford, 1980); L. D. Landau and E. M. Lifshitz (Russ. Original Vol. 1 3rd ed. (Nauka, M., 1976)
  49. L. D. Landau and E. M. Lifshitz Quantum Mechanics: Non-Relativistic Theory 3rd ed. (Pergamon Press, Oxford, 1977); L. D. Landau and E. M. Lifshitz (Russ. Original (Nauka, M., 1974)
  50. S. G. Pletneva, G. N. Marchenko, A. S. Pavlov, Yu. G. Papulov. P. G. Khalatur, and G. M. Khrapkovski&ibreve; Dokl. Akad. Nauk SSSR 264 109 (1982); S. G. Pletneva, G. N. Marchenko, A. S. Pavlov, Yu. G. Papulov. P. G. Khalatur, and G. M. Khrapkovski&ibreve; Dokl. Phys. Chem. (1982)
  51. M. Warner, J. M. Gunn, and A. B. Baumgartner J. Phys. A 18 3007 (1985)
  52. B. Z. Volchek, A. V. Purkina, G. A. Lebedev, G. P. Vlasov, and L. A. Ovsyannikova Vysokomol. Soedin. Ser. B 22 25 (1980)
  53. B. Z. Volchek, A. V. Purkina, G. A. Lebedev, G. P. Vlasov, and L. A. Ovsyannikova Ibid. 841
  54. P. J. Flory J. Polym. Sci. 49 105 (1961)
  55. S. P. Papkov, V. G. Kulichikhin, V. D. Kalmykova, and A. Ya. Malkin J. Polym. Sci.: Polym. Phys. Ed. 12 1753 (1974)
  56. L. M. Sartirana, E. Marsano, E. Bianchi, and A. Ciferri Macromolecules 19 1176 (1986)
  57. V. G. Kulichikhin, V. A. Platonov, E. G. Kogan, L. P. Mil'kova, I. N. Andreeva, N. V. Lukasheva, A. V. Volokhina, and S. P. Papkov Vysokomol. Soedin. Ser. A 20 2224 (1978); V. G. Kulichikhin, V. A. Platonov, E. G. Kogan, L. P. Mil'kova, I. N. Andreeva, N. V. Lukasheva, A. V. Volokhina, and S. P. Papkov Polymer Sci. USSR 20 2500 (1978)
  58. B. I. Konevets Abstract Of Dissertation For Candidate Of Chemical Sciences (A. M. Gorki Ural State University, Sverdlovsk, 1983)
  59. A. R. Khokhlov Vysokomol. Soedin. Ser. A 21 1981 (1979); A. R. Khokhlov Polymer Sci. USSR 21 2185 (1979)
  60. A. R. Khokhlov Intern. J. Quant. Chem. 16 853 (1979)
  61. M. Warner and P. J. Flory J. Chem. Phys. 73 6327 (1980)
  62. A. R. Khokhlov and A. N. Semenov J. Stat. Phys. 38 161 (1985)
  63. A. R. Khokhlov and A. N. Semenov Macromolecules 19 373 (1986)
  64. A. N. Semenov and A. R. Khokhlov Vysokomol. Soedin. Ser. A 28 125 (1986); A. N. Semenov and A. R. Khokhlov Polymer Sci. USSR 28 (1986)
  65. A. N. Semenov and A. R. Khokhlov Ibid. 132; A. N. Semenov and A. R. Khokhlov Polymer Sci, USSR 28 (1986)
  66. M. A. Cotter and D. C. Wacker Phys. Rev. A 18 2669 (1978)
  67. W. G. Miller, C. C. Wu, E. L. Wee, G. L. Santee, J. H. Rai, and K. G. Goebel Pure And Appl. Chem. 38 37 (1974)
  68. B. Z. Volchek, A. V. Purkina, G. P. Vlasov, L. A. Ovsyannikova Vysokomol. Soedin. Sec. B 23 154 (1981)
  69. P. S. Russo and W. G. Miller Macromolecules 16 1690 (1983)
  70. J. M. Deutch and N. D. Goldenfeld J. Phys. A 15 L71 (1982)
  71. J. M. Deutch and N. D. Goldenfeld J. Phys. (Paris) 43 651 (1982)
  72. I. A. Nyrkova and A. R. Khokhlov Biofizika 31 771 (1986); I. A. Nyrkova and A. R. Khokhlov Biophysics (USSR) 31 (1986)
  73. A. Stroobants, H. Lekkerkerker, and T. Odijk Macromolecules 19 2232 (1986)
  74. V. V. Rusakov and M. I. Shliomis Preprint of the Ural Scientific Center of the Academy of Sciences of the USSR 42/83 (Sverdlovsk, 1983)
  75. V. V. Rusakov and M. I. Shliomis J. Phys. Lett. (Paris) 46 935 (1985)
  76. A. Ten Bosch, P. Maissa, and P. Sixou Phys. Lett. A 94 298 (1983)
  77. X. J. Wang and M. Warner J. Phys. A 19 2215 (1986)
  78. M. Warner, J. M. Gunn, and A. Baumgartner Ibid. 18 3007 (1985)
  79. A. Ten Bosch, P. Maissa, and P. Sixou J. Phys. Lett. (Paris) 44 105 (1983)
  80. G. Ronca and D. Y. Yoon J. Chem. Phys. 76 3295 (1982)
  81. G. Ronca and D. T. Yoon Ibid. 80 925 (1984)
  82. G. Ungar Macromolecules 19 1317 (1986)
  83. T. M. Birshtein and B. I. Kolegov Vysokomol. Soedin. Ser. A 25 2519 (1983); T. M. Birshtein and B. I. Kolegov Polymer Sci. USSR 25 (1983)
  84. S. V. Vasilenko, V. P. Shibaev, and A. R. Khokhlov Makromol. Chem.-Rap. Commun. 3 917 (1982)
  85. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Vysokomol. Soedin. Ser. A 26 606 (1984); S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Polymer Sci. USSR 26 (1984)
  86. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Macromolecules 17 2270 (1984)
  87. P. Corradini and M. Vacatello Mol. Cryst. Liq. Cryst. 97 119 (1983)
  88. A. Blumstein, R. B. Blumstein, M. M. Gauthier, O. Thomas, and J. Asrar Ibid. 92 87 (1983)
  89. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Dokl. Akad. Nauk SSSR 281 1133 (1985); S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Dokl. Phys. Chem. (1985)
  90. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Makromol. Chem. 186 1951 (1985)
  91. V. V. Rusakov and M. I. Shliomis Vysokomol. Soedin. Ser. A (1987); V. V. Rusakov and M. I. Shliomis Polymer Sci. USSR 29 (1987)
  92. V. P. Shibaev and N. A. Plate Adv. Polym. Sci. 60/61 173 (1984)
  93. H. Finkelmann and G. Rehage Ibid. 99
  94. P. Keller, B. Carvalko, J. P. Cotton, M. Lambert, F. Moussa, and G. Pepy J. Phys. Lett. (Paris) 46 L1065 (1985)
  95. A. N. Semenov and A. R. Khokhlov Vysokomol. Soedin. Ser. A 24 1743 (1982); A. N. Semenov and A. R. Khokhlov Polymer Sci. USSR 24 (1982)
  96. A. N. Semenov and A. R. Khokhlov Ibid. 2573; A. N. Semenov and A. R. Khokhlov Polymer Sci. USSR 24 (1982)
  97. A. R. Khokhlov and A. N. Semenov Macromolecules 15 1272 (1982)
  98. P. G. de Gennes Scaling Concepts In The Physics Of Polymers (Cornell University Press, Ithaca, N. Y., [Russ. transl., Mir, M., 1979)
  99. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Macromolecules 17 2275 (1984)
  100. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev Orientational Phenomena In Solutions And Melts Of Polymers A. Ya. Malkin and S. P. Papkov eds (Khimiya, M., 1980)
  101. R. G. Priest Phys. Rev. A 7 720 (1973)
  102. J. P. Straley Ibid. 8 2181 (1973)
  103. A. Yu. Grosberg and A. V. Zhestkov Vysokomol. Soedin. Ser. A 28 86 (1986); A. Yu. Grosberg and A. V. Zhestkov Polymer Sci USSR 28 (1986)
  104. T. Odijk Liq. Cryst. 1 553 (1986)
  105. G. J. Vroege and T. Odijk J. Chem. Phys. 87 4223 (1987)
  106. P. G. De Gennes Mol. Cryst. Liq. Cryst. Lett. 34 177 (1977)
  107. V. G. Taratuta, A. J. Hurd, and R. B. Meyer Phys. Rev. Lett. 55 246 (1985)
  108. P. Fabre, C. Casagrande, M. Veyssie, and H. Finkelmann Ibid. 53 993 (1984)
  109. V. A. Ivanov and A. N. Semenov Vysokomol. Soedin. Ser. A 30 1723 (1988); V. A. Ivanov and A. N. Semenov Polymer Sci. USSR 30 (1988)
  110. L. D. Landau and E. M. Lifshitz Russ. Original (Nauka, M., 1982)
  111. V. M. Andreeva, V. I. Konevets, and A. A. Tager Vysokomol. Soedin. Ser. B 23 538 (1981)
  112. V. I. Konevets, V. M. Andreeva, and A. A. Tager Ibid. Ser. A 27 959 (1985); V. I. Konevets, V. M. Andreeva, and A. A. Tager Polymer Sci. USSR 27 (1985)
  113. M. Doi J. Phys. (Paris) 36 607 (1975)
  114. M. Doi and S. F. Edwards J. Chem. Soc. Faraday (2) 74 560 (1978)
  115. M. Doi and S. F. Edwards Ibid. 918
  116. M. Doi J. Polym. Sci.: Polym. Phys. Ed. 19 229 (1981)
  117. J. Riseman and J. G. Kirkwood Ibid. 18 512 (1950)
  118. A. R. Khokhlov Statistical Physics Of Macromolecules (MGU, M., 1985), (in Russian)
  119. P. J. Flory Principles Of Polymer Chemistry (Cornell University Press, Ithaca, London, 1953)
  120. N. Y. Kuzuu and M. Doi Polym. J. 12 883 (1980)
  121. T. Odijk Macromolecules 16 1340 (1983)
  122. A. N. Semenov J. Chem. Soc. Faraday (2) 82 317 (1986)
  123. M. Doi J. Polym. Sci. Polym. Symp. 73 93 (1985)
  124. G. T. Keep and R. Pecora Macromolecules 18 1167 (1985)
  125. I. Teraoka, N. Ookubo, and R. Hayakawa Phys. Rev. Lett. 55 2712 (1985)
  126. J. A. Odell, A. Keller, and E. Atkins Macromolecules 18 1443 (1985)
  127. M. Doi, I. Yamamoto, and F. Kano J. Phys. Soc. Jpn. 53 3000 (1984)
  128. G. Marrucci Mol. Cryst. Liq. Cryst. Lett. 72 153 (1982)
  129. A. N. Semenov Zh. Eksp. Teor. Fiz. 85 549 (1983); A. N. Semenov Sov. Phys. JETP 58 321 (1983)
  130. N. Kuzuu and M. Doi J. Phys. Soc. Jpn. 52 3486 (1983)
  131. N. Kuzuu and M. Doi Ibid. 53 1031 (1984)
  132. M. Doi Ferroelectrics 30 247 (1980)
  133. V. G. Kulichikhin, G. I. Kudryavtsev, and S. P. Papkov Intern. J. Polym. Mater. 9 239 (1982)
  134. R. R. Matheson, Jr Macromolecules 13 643 (1980)
  135. S. A. Pikin Structural Transformations In Liquid Crystals (Nauka, M., 1981), (in Russian)
  136. A. N. Semenov Zh. Eksp. Teor. Fiz. 93 1260 (1987); A. N. Semenov Sov. Phys. JETP 66 712 (1987)
  137. P. G. De Gennes J. Chem. Phys. 55 572 (1971)
  138. M. Doi and S. F. Edwards J. Chem. Soc. Faraday (2) 74 1789, 1818, 1978 (1802)
  139. A. Yu. Grosberg Biofizika 24 32 (1979); A. Yu. Grosberg Biophysics (USSR) 24 30 (1979)
  140. A. Yu. Grosberg Vysdkomol. Soedin. Ser. A 22 90, 96, 100 (1980); A. Yu. Grosberg Polymer Sci USSR 22 101, 107 112 (1980)
  141. A. Yu. Grosberg and A. V. Zhestkov Biofizika 29 202 (1984); A. Yu. Grosberg and A. V. Zhestkov Biophysics (USSR) 29 221 (1984)
  142. A. Yu. Grosberg and A. V. Zhestkov Ibid. 30 233 (1985); A. Yu. Grosberg and A. V. Zhestkov Biophysics (USSR) 30 (1985)
  143. A. Yu. Grosberg and A. V. Zhestkov Mol. Biol. 19 1153 (1985)
  144. R. B. Boehm and D. E. Martire Macromolecules 19 89 (1986)
  145. P. Pincus and P. G. De Gennes J. Polym. Sci. Polym. Symp. 65 85 (1978)
  146. Y. H. Kim and P. Pincus Biopolymers 18 2315 (1979)
  147. R. R. Matheson Ibid. 22 43 (1983)
  148. R. R. Matheson Mol. Cryst. Liq. Cryst. 105 315 (1984)
  149. P. J. Flory and R. R. Matheson J. Chem. Phys. 88 6606 (1984)
  150. M. Warner and J. M. F. Gunn Mol. Cryst. Liq. Cryst. (1987)
  151. B. Z. Volchek, D. A. Medvedeva, A. V. Purkina, L. A. Ovsyannikova, and G. P. Vlasov Vysokomol. Soedin. Ser. A 29 1257 (1987); B. Z. Volchek, D. A. Medvedeva, A. V. Purkina, L. A. Ovsyannikova, and G. P. Vlasov Polymer Sci. USSR 29 (1987)
  152. J. P. Straley Phys. Rev. A 14 1835 (1976)
  153. A. Yu. Grosberg Dokl. Akad. Nauk SSSR 253 1370 (1980); A. Yu. Grosberg Sov. Phys. Dokl. 25 638 (1980)
  154. H. Kimura, M. Hosino, and H. Nakano J. Phys. Soc. Jpn. 51 1584 (1982)
  155. M. A. Osipov Chem. Phys. 96 259 (1985)
  156. M. A. Osipov, A. N. Semenov, and A. R. Khokhlov Zh. Khim. Fiz. 6 1312 (1987)
  157. D. V. Kuznetsov and A. R. Khokhlov Vysokomol. Soedin. Ser. A 24 418 (1982); D. V. Kuznetsov and A. R. Khokhlov Polymer Sci. USSR 24 (1982)
  158. A. N. Semenov and S. V. Vasilenko Zh. Eksp. Teor. Fiz. 90 124 (1986); A. N. Semenov and S. V. Vasilenko Sov. Phys. JETP 63 70 (1986)
  159. F. Dowell Phys. Rev. A 31 2464 (1985)
  160. A. Halperin J. Chem. Phys. 86 1081 (1986)
  161. A. Yu. Grosberg and A. R. Khokhlov On Unsolved Problems Of The Statistical Physics Of Macromolecules (National Center of Biological Studies of the Academy of Sciences of the USSR, Pushchino, Pushchino, 1985), (in Russian)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions