Journal of Chemical Physics
Feedback | Help | Exit
The Journal of Chemical Physics
Search:
   
 
 
 
Previous Article
Ca impurity in small mixed 4He–3He clusters
The structure of small mixed helium clusters doped with one calcium atom has been determined within the diffusion Monte Carlo framework. The results show that the calcium atom sits at the 4He–3H...
Next Article
A relook at the compliance constants in redundant internal coordinates and some new insights
The compliance constants, the inverse of the force constant matrix elements offer the advantage that any one of them could be calculated directly without the need to calculate the full Hessian. Here w...

The Landau free energy of a melt of graft copolymers

J. Chem. Phys. 131, 174111 (2009); doi:10.1063/1.3257736

Published 5 November 2009

You are not logged in to this journal. Log in

M. A. Aliev1 and S. I. Kuchanov2
1Institute of Biochemical Physics, Kossygina Street 4, 119334 Moscow, Russia
2A.N.Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, Vavilova Str. 28, 119991 Moscow, Russia and Department of Physics, Polymers and Crystals Chair, Lomonosov Moscow State University, Vorobjevi Gory, 119992 Moscow, Russia
New graphical algorithm is proposed to find vertex functions which are the coefficients of expansion of the Landau free energy of polydisperse multigraft copolymers whose macromolecules comprise an arbitrary number of types of side chains. This algorithm imposes no restriction on length distributions of side chains in copolymer macromolecules as well as on distribution of distances between two successive grafting points along the backbone. By way of example, with this algorithm the expressions for the second, third, and fourth order contributions into the free energy have been derived. The obtained results can be used for construction of the phase diagrams of polydisperse multigraft copolymers. ©2009 American Institute of Physics
History: Received 7 August 2009; accepted 10 October 2009; published 5 November 2009
Permalink: http://link.aip.org/link/?JCPSA6/131/174111/1
BUY THIS ARTICLE   (US$24)
Download HTML Download Sectioned HTML Download PDF (663 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 61.25.hk
    Structure of polymer melts and blends
  • 65.20.Jk
    Studies of thermodynamic properties of specific liquids
  • 61.20.-p
    Structure of liquids
  • 82.35.Jk
    Copolymers, phase transitions, structure (polymer chemistry)
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (51)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. I. W. Hamley, The Physics of Block Copolymers (Oxford University Press, New York, 1998).
  2. W. J. Burlant and A. S. Hoffman, Block and Graft Polymers (Reinhold, New York, 1961).
  3. H. A. J. Battaerd and G. W. Tregear, Graft Copolymers (Wiley, New York, 1967).
  4. N. Hadjichristidis, M. Pitsikalis, and H. Jatrou, Adv. Polym. Sci. 189, 1 (2005).
  5. A. V. Subbotin and A. N. Semenov, Polym. Sci., Ser. A 49, 1328 (2007).
  6. H. Mark, Text. Res. J. 23, 294 (1953).
  7. S. I. Kuchanov, Methods of Kinetic Calculations in Polymer Chemistry (Khimia, Moscow, 1978).
  8. S. I. Kuchanov, Adv. Polym. Sci. 152, 157 (2000).
  9. M. Olvera de la Cruz and I. C. Sanchez, Macromolecules 19, 2501 (1986).
  10. H. Benoit and G. Hadziioannou, Macromolecules 21, 1449 (1988).
  11. A. V. Dobrynin and I. Ya. Erukhimovich, Macromolecules 26, 276 (1993).
  12. A. Shinozaki, D. Jasnow, and A. C. Balazs, Macromolecules 27, 2496 (1994).
  13. D. P. Foster, D. Jasnow, and A. C. Balazs, Macromolecules 28, 3450 (1995).
  14. A. Werner and G. H. Fredrickson, J. Polym. Sci., Part B: Polym. Lett. 35, 849 (1997).
  15. S. Qi, A. K. Chakraborty, H. Wang, A. A. Lefebvre, N. P. Balsara, E. I. Shakhnovich, M. Xenidou, and N. Hadjichristidis, Phys. Rev. Lett. 82, 2896 (1999).
  16. S. Qi, A. K. Chakraborty, and N. P. Balsara, J. Chem. Phys. 115, 3387 (2001).
  17. S. Qi and A. K. Chakraborty, J. Chem. Phys. 115, 3401 (2001).
  18. R. J. Nap and G. ten Brinke, Macromolecules 35, 952 (2002).
  19. R. J. Nap, Ph.D. thesis, Groningen University, 2003.
  20. V. V. Palyulin and I. I. Potemkin, J. Chem. Phys. 127, 124903 (2007).
  21. L. Wang, L. Zhang, and J. Lin, J. Chem. Phys. 129, 114905 (2008).
  22. J. -C. Toledano and P. Toledano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1987).
  23. P. Toledano and A. F. Neto, Phase Transitions in Complex Fluids (World Scientific, Singapore, 1998).
  24. Yu. A. Izumov and V. N. Syromyatnikov, Phase Transitions and Crystal Symmetry (Kluwer, Dordrecht, 1990).
  25. S. I. Kuchanov and S. V. Panyukov, in Comprehensive Polymer Science, Second Supplement, edited by G. Allen (Pergamon, New York, 1996), Chap. 13, pp. 441–496.
  26. S. I. Kuchanov, Macromol. Symp. 252, 76 (2007).
  27. I. M. Lifshitz, A. Yu. Grosberg, and A. R. Khokhlov, Rev. Mod. Phys. 50, 683 (1978).
  28. M. A. Aliev and S. I. Kuchanov, Eur. Phys. J. B 43, 251 (2005).
  29. J. M. G. Cowie, Macromol. Symp. 78, 15 (1994).
  30. P. Munk, P. Hattam, Q. Du, and A. -A. Abdel-Azim, J. Appl. Polym. Sci.: Appl. Polym. Symp. 45, 289 (1990).
  31. N. P. Balsara, in Physical Properties of Polymers, edited by J. E. Mark (AIP, New York, 1996), Chap. 19, pp. 257–268.
  32. L. Leibler, Macromolecules 13, 1602 (1980).
  33. H. Angerman, Ph.D. thesis, Groningen University, 2001.
  34. V. E. Pichugin, A. N. Bogdanov, and S. I. Kuchanov, J. Stat. Mech. P03017 (2008).
  35. A. Z. Patashinskii and V. L. Pokrovsky, Fluctuation Theory of Phase Transitions (Pergamon, New York, 1979).
  36. M. A. Aliev and S. I. Kuchanov, Physica A 387, 363 (2008).
  37. D. Broseta and G. H. Fredrickson, J. Chem. Phys. 93, 2927 (1990).
  38. S. I. Kuchanov and S. V. Panyukov, J. Phys. C 18, L43 (2006).
  39. G. H. Fredrickson and E. Helfand, J. Chem. Phys. 87, 697 (1987).
  40. H. Angerman, G. ten Brinke, and I. Ya. Erukhimovich, Macromolecules 31, 1958 (1998).
  41. I. I. Potemkin and S. V. Panyukov, Phys. Rev. E 57, 6902 (1998).
  42. S. F. Edwards, Proc. Phys. Soc. London 85, 613 (1965).
  43. E. Helfand, J. Chem. Phys. 62, 999 (1975).
  44. M. W. Matsen and M. Schick, Phys. Rev. Lett. 72, 2660 (1994).
  45. G. Fredrickson, V. Ganesan, and F. Drolet, Macromolecules 35, 16 (2002).
  46. K. Rasmussen and G. Kalosakas, J. Polym. Sci., Part B: Polym. Phys. 40, 1777 (2002).
  47. A. -C. Shi, in Developments in Block Copolymer Science and Technology, edited by I. W. Hamley (Wiley, New York, 2004), Chap. 8, pp. 265–293.
  48. S. W. Sides and G. H. Fredrickson, J. Chem. Phys. 121, 4974 (2004).
  49. D. M. Cooke and A. -C. Shi, Macromolecules 39, 6661 (2006).
  50. T. M. Beardsley and M. W. Matsen, Eur. Phys. J. E 27, 323 (2008).
  51. D. M. Patel and G. H. Fredrickson, Phys. Rev. E 68, 051802 (2003).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics