Issues

 / 

1979

 / 

March

  

Reviews of topical problems


Volume interactions in the statistical physics of a polymer macromolecule

,  a,  b
a Institute for Biochemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 119334, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Theoretical approaches to the spatial structure of linear macromolecular chains are reviewed. The associated problems are found to be essentially different when repulsion and attraction between chain elements are respectively dominant. In the case of attraction, the chain condenses on itself and forms a globule with a definite structure which can be analyzed in the self-consistent field approximation. In the case of repulsion, the result is a coil with a fluctuating structure and, in this situation, one must use the methods of scaling theory. The coil-globule transition is also analyzed.

Fulltext pdf (2 MB)
Fulltext is also available at DOI: 10.1070/PU1979v022n03ABEH005423
PACS: 36.20.Fz
DOI: 10.1070/PU1979v022n03ABEH005423
URL: https://ufn.ru/en/articles/1979/3/a/
Citation: Lifshits I M, Grosberg A Yu, Khokhlov A R "Volume interactions in the statistical physics of a polymer macromolecule" Sov. Phys. Usp. 22 123–142 (1979)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Лифшиц И М, Гросберг А Ю, Хохлов А Р «Объемные взаимодействия в статистической физике полимерной макромолекулы» УФН 127 353–389 (1979); DOI: 10.3367/UFNr.0127.197903a.0353

Cited by (107) ↓ Similar articles (20)

  1. Kucherenko M G, Rusinov A P J. Exp. Theor. Phys. (2025)
  2. Zhmakin A I Springer Series In Biophysics Vol. Heat Transfer in VivoEffects of Extreme Temperatures on Living Tissues27 Chapter 2 (2025) p. 15
  3. Righini F, Potel G et al The Journal of Chemical Physics 162 (13) (2025)
  4. Subbotin A V, Semenov A N Journal of Rheology 69 (2) 159 (2025)
  5. Zhmakin A I Springer Series In Biophysics Vol. Heat Transfer in VivoThermal Ablation in Silico27 Chapter 10 (2025) p. 473
  6. Shaitan K V Russ. J. Phys. Chem. B 17 (3) 550 (2023)
  7. Shaitan K V BIOPHYSICS 67 (3) 386 (2022)
  8. Pestryaev E M Polym. Sci. Ser. A 62 (6) 766 (2020)
  9. Tarasov D N, Tiger R P Russ. J. Phys. Chem. B 13 (3) 478 (2019)
  10. Lazarev A V, Tatarenko P A, Tatarenko K A Russ. J. Phys. Chem. B 12 (7) 1152 (2018)
  11. Kudaibergenov S, Nuraje N Polymers 10 (10) 1146 (2018)
  12. Zhmakin A I Handbook of Thermal Science and Engineering Chapter 70 (2018) p. 2333
  13. Yurkin Yu V, Cherkasov V D, Avdonin V V MSF 937 77 (2018)
  14. Khorolskyi O V Ukr. J. Phys. 63 (2) 144 (2018)
  15. Zhmakin A I Handbook of Thermal Science and Engineering Chapter 70-1 (2017) p. 1
  16. Khorolskyi O V Ukr. J. Phys. 62 (10) 858 (2017)
  17. Tatarenko K A, Lazarev A V, Trubnikov D N Russ. J. Phys. Chem. B 9 (7) 1048 (2015)
  18. Savin A V, Savina O I Phys. Solid State 56 (8) 1664 (2014)
  19. Ivanov V A, Martemyanova J A et al Polym. Sci. Ser. C 55 (1) 4 (2013)
  20. Atrazhev V V, Burlatsky S F et al J. Stat. Mech. 2013 (02) P02004 (2013)
  21. Tarasov D N, Tiger R P Russ. J. Phys. Chem. B 7 (5) 574 (2013)
  22. Borisov O V Polymer Science: A Comprehensive Reference (2012) p. 47
  23. Kuznetsova T F, Rat’ko A I et al Colloid J 74 (4) 489 (2012)
  24. Tarasov D N, Tiger R P Polym. Sci. Ser. B 54 (9-10) 459 (2012)
  25. Klushin L I, Skvortsov A M J. Phys. A: Math. Theor. 44 (47) 473001 (2011)
  26. Skvortsov A M, Klushin L I, Birshtein T M Polym. Sci. Ser. A 51 (5) 469 (2009)
  27. Polym. Sci. Ser. A 51 (1) 49 (2009)
  28. Zhmakin A I Uspekhi Fizicheskikh Nauk 178 (3) 243 (2008)
  29. Karakhanyan R K, Malkhasyan R T J. Contemp. Phys. 42 (6) 261 (2007)
  30. Semenov A N Phys. Rev. E 73 (4) (2006)
  31. Mdzinarashvili T J, Mrevlishvili G M et al Biophysical Chemistry 124 (1) 43 (2006)
  32. Aseyev V O, Tenhu H, Winnik F M Advances In Polymer Science Vol. Conformation-Dependent Design of Sequences in Copolymers IITemperature Dependence of the Colloidal Stability of Neutral Amphiphilic Polymers in Water196 Chapter 52 (2006) p. 1
  33. Grosberg A Yu, Khokhlov A R Advances In Polymer Science Vol. Conformation-Dependent Design of Sequences in Copolymers IIAfter-Action of the Ideas of I.M. Lifshitz in Polymer and Biopolymer Physics196 Chapter 55 (2006) p. 189
  34. Kravets L I, Gil’man A B, Drachev A I High Energy Chem 39 (2) 114 (2005)
  35. Semenov A N, Obukhov S P J. Phys.: Condens. Matter 17 (20) S1747 (2005)
  36. Olemskoi A, Savelyev A Physics Reports 419 (4-5) 145 (2005)
  37. Khilyuk L F, Chilingar G V Env Geol 46 (6-7) 970 (2004)
  38. Malomuzh N P, Orlov E V Colloid Journal 64 (6) 725 (2002)
  39. Olemskoi A I Uspekhi Fizicheskikh Nauk 171 (5) 503 (2001)
  40. Chuev G N Uspekhi Fizicheskikh Nauk 169 (2) 155 (1999)
  41. Kudaibergenov S E Advances In Polymer Science Vol. Polymer Latexes - Epoxide Resins - PolyampholytesRecent Advances in the Study of Synthetic Polyampholytes in Solutions144 Chapter 3 (1999) p. 115
  42. Thermodynamics of Systems Containing Flexible-Chain Polymers (1999) p. 777
  43. Erukhimovich I Ya J. Exp. Theor. Phys. 87 (3) 494 (1998)
  44. Mrevlishvili G M, Metreveli N O et al Thermochimica Acta 308 (1-2) 41 (1998)
  45. Tsygankov V S, Ochotnikova L K Biopolym. Cell 14 (6) 519 (1998)
  46. Yukalov V I, Gluzman S Phys. Rev. E 55 (6) 6552 (1997)
  47. Khokhlov A R, Dormidontova E E Uspekhi Fizicheskikh Nauk 167 (02) 113 (1997) [Khokhlov A R, Dormidontova E E Phys.-Usp. 40 (2) 109 (1997)]
  48. Kramarenko E Yu, Khokhlov A R, Yoshikawa K Macromolecules 30 (11) 3383 (1997)
  49. Vshivkov S A, Safronov A P Macro Chemistry & Physics 198 (10) 3015 (1997)
  50. Vasilevskaya V V, Khokhlov A R et al Biopolymers 41 (1) 51 (1997)
  51. Khokhlov A R, Philippova O E Solvents and Self-Organization of Polymers Chapter 10 (1996) p. 197
  52. Melker A I, Vorobyeva T V Polymer Engineering & Sci 36 (2) 163 (1996)
  53. Kuznetsov D V Macromolecular Symposia 106 (1) 225 (1996)
  54. Kuznetsov D V The Journal of Chemical Physics 103 (17) 7618 (1995)
  55. Vasilevskaya V V, Khokhlov A R et al The Journal of Chemical Physics 102 (16) 6595 (1995)
  56. Grosberg A, Izrailev S, Nechaev S Phys. Rev. E 50 (3) 1912 (1994)
  57. Khokhlov A R Liquid-Crystal Polymers Chapter 1 (1993) p. 1
  58. Khokhlov A R, Starodubtzev S G, Vasilevskaya V V Advances In Polymer Science Vol. Responsive Gels: Volume Transitions IConformational transitions in polymer gels: Theory and experiment109 Chapter 3 (1993) p. 123
  59. Ekaterina B Zh, Oleg V B Makromolekulare Chemie. Macromolecular Symposia 44 (1) 275 (1991)
  60. Panyukov S V Polymer Science U.S.S.R. 32 (6) 1247 (1990)
  61. Rabinovich A L Polymer Science U.S.S.R. 32 (3) 547 (1990)
  62. Bekturov E A, Frolova V A et al Makromol. Chem. 191 (2) 457 (1990)
  63. Zhulina E B, Borisov O V, Priamitsyn V A Journal Of Colloid And Interface Science 137 (2) 495 (1990)
  64. Rabinovich A L Polymer Science U.S.S.R. 32 (6) 1230 (1990)
  65. Bekturov E A, Kudaibergenov S E, Rafikov S R Journal Of Macromolecular Science, Part C: Polymer Reviews 30 (2) 233 (1990)
  66. Nyrkova I A, Khokhlov A R, Kramarenko Y Yu Polymer Science U.S.S.R. 32 (5) 852 (1990)
  67. Rabinovich A L Polymer Science U.S.S.R. 32 (3) 554 (1990)
  68. Panyukov S V, Kuchanov S I Polymer Science U.S.S.R. 32 (4) 682 (1990)
  69. Bogachev L V, Molchanov S A Theor Math Phys 81 (2) 1207 (1989)
  70. Matveyev Yu I, Askadskii A A Polymer Science U.S.S.R. 31 (3) 574 (1989)
  71. Skvortsov A M, Gorbunov A A Polymer Science U.S.S.R. 31 (6) 1307 (1989)
  72. Goldanskii V I, Krupyanskii Yu F Quart. Rev. Biophys. 22 (1) 39 (1989)
  73. Kudaibergenov S Y, Bekturov Y A Polymer Science U.S.S.R. 31 (12) 2870 (1989)
  74. Zhulina Y B, Pryamitsyn V A, Borisov O V Polymer Science U.S.S.R. 31 (1) 205 (1989)
  75. Bekturov E A, Kudaibergenov S E Makromolekulare Chemie. Macromolecular Symposia 26 (1) 281 (1989)
  76. Kornilova S V, Shkorbatov A G, Blagoi Yu P Biopolym. Cell 5 (6) 25 (1989)
  77. Bendzko P I, Pfeil W A et al Biophysical Chemistry 29 (3) 301 (1988)
  78. Matveyev Yu I, Askadskii A A Polymer Science U.S.S.R. 29 (10) 2282 (1987)
  79. Ptitsyn O B J Protein Chem 6 (4) 273 (1987)
  80. Birshtein T M, Borisov O V et al Polymer Science U.S.S.R. 29 (6) 1293 (1987)
  81. Birshtein T M, Pryamitsyn V A Polymer Science U.S.S.R. 29 (9) 2039 (1987)
  82. Korshak V V, Vasnev V A Polymer Science U.S.S.R. 29 (11) 2457 (1987)
  83. Entelis S G, Evreinov V V, Gorshkov A V Advances In Polymer Science Vol. Pharmacy/Thermomechanics/Elastomers/TelechelicsFunctionality and molecular weight distribution of Telechelic polymers76 Chapter 4 (1986) p. 129
  84. Semenov A N, Khokhlov A R Polymer Science U.S.S.R. 28 (1) 150 (1986)
  85. Grosberg A Yu, Zhestkov A V, Kuznetsov D V Polymer Science U.S.S.R. 28 (7) 1554 (1986)
  86. Grosberg A Yu J Stat Phys 38 (1-2) 149 (1985)
  87. Nel’son K V, Berezkina A P, Kurlyand S K Polymer Science U.S.S.R. 27 (7) 1652 (1985)
  88. Khokhlov A R, Semenov A N J Stat Phys 38 (1-2) 161 (1985)
  89. Krishtalik L I Journal Of Theoretical Biology 116 (2) 201 (1985)
  90. Shchegolev S Yu, Klenin V I, Frenkel’ S Ya Polymer Science U.S.S.R. 27 (6) 1333 (1985)
  91. Birshtein T M, Buldyrev S V, Elyashevitch A M Polymer 26 (12) 1814 (1985)
  92. Kornilova S V, Blagoy Yu P, Shkorbatov A G Water and Ions in Biological Systems Chapter 8 (1985) p. 69
  93. Birshtein T M, Zhulina E B Polymer 25 (10) 1453 (1984)
  94. Nechayev S K, Semenov A N, Khokhlov A R Polymer Science U.S.S.R. 25 (5) 1230 (1983)
  95. Grosberg A Yu, Kaganova Y M Polymer Science U.S.S.R. 25 (6) 1370 (1983)
  96. Birshtein T M, Skvortsov A M, Sariban A A Polymer 24 (9) 1145 (1983)
  97. Birshtein T M Polymer Science U.S.S.R. 24 (9) 2088 (1982)
  98. Yerukhimovich I Ya Polymer Science U.S.S.R. 24 (9) 2232 (1982)
  99. Grosberg A Yu Polymer Science U.S.S.R. 24 (6) 1344 (1982)
  100. Khokhlov A R Physica A: Statistical Mechanics And Its Applications 105 (1-2) 357 (1981)
  101. Khokhlov A R Polymer 22 (4) 447 (1981)
  102. Grosberg A Yu, Khokhlov A R Advances In Polymer Science Vol. Speciality PolymersStatistical theory of polymeric lyotropic liquid crystals41 Chapter 2 (1981) p. 53
  103. Khokhlov A R, Semenov A N Physica A: Statistical Mechanics And Its Applications 108 (2-3) 546 (1981)
  104. Grosberg A Yu, Erukhimovich I Ya, Khokhlov A R Physics Letters A 78 (2) 163 (1980)
  105. Grosberg A Yu Polymer Science U.S.S.R. 22 (1) 112 (1980)
  106. Grosberg A Yu Polymer Science U.S.S.R. 22 (1) 101 (1980)
  107. Khokhlov A R J. Phys. A: Math. Gen. 13 (3) 979 (1980)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions