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Modeling intra- and intermolecular correlations for linear and branched polymers using a modified test-chain self-consistent field theory
Phys. Rev. E 95, 042502 – Published 13 April, 2017
DOI: https://doi.org/10.1103/PhysRevE.95.042502
Abstract
A modified test-chain self-consistent field theory (SCFT) is presented to study the intra- and intermolecular correlations of linear and branched polymers in various solutions and melts. The key to the test-chain SCFT is to break the the translational symmetry by fixing a monomer at the origin of a coordinate. This theory successfully describes the crossover from self-avoiding walk at short distances to screened random walk at long distances in a semidilute solution or melt. The calculations indicated that branching enhances the swelling of polymers in melts and influences stretching at short distances. The test-chain SCFT calculations show good agreement with experiments and classic polymer theories. We highlight that the theory presented here provides a solution to interpret the polymer conformation and behavior under various conditions within the framework of one theory.
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References (65)
- H. Hsieh and R. P. Quirk, Anionic Polymerization: Principles and Practical Applications (Marcel Dekker, New York, 1996).
- L. A. Archer and S. K. Varshney, Macromolecules 31, 6348 (1998).
- T. D. Martter, M. D. Foster, T. Yoo, S. Xu, G. Lizzaraga, R. P. Quirk, and P. D. Butler, Macromolecules 35, 9763 (2002).
- J. S. Lee, R. P. Quirk, M. D. Foster, K. M. Wollyung, and C. Wesdemiotis, Macromolecules 37, 6385 (2004).
- J. S. Lee, R. P. Quirk, and M. D. Foster, Macromolecules 38, 5381 (2005).
- M. G. McKee, S. Unal, G. L. Wilkes, and T. E. Long, Prog. Polym. Sci. 30, 507 (2005).
- H. Gao and K. Matyjaszewski, Macromolecules 39, 4960 (2006).
- Y. Chen, Z. Shen, E. Barriau, H. Kautz, and H. Frey, Biomacromolecules 7, 919 (2006).
- J. Yoo, M. B. Runge, and N. B. Bowden, Polymer 52, 2499 (2011).
- D. Wang, L. Pevzner, C. Li, K. Peneva, C. Y. Li, D. Y. C. Chan, K. Müllen, M. Mezger, K. Koynov, and H.-J. Butt, Phys. Rev. E 87, 012403 (2013).
- S.-f. Wang, S. Yang, J. Lee, B. Akgun, D. T. Wu, and M. D. Foster, Phys. Rev. Lett. 111, 068303 (2013).
- J. S. Lee, N.-H. Lee, S. Peri, M. D. Foster, C. F. Majkrzak, R. Hu, and D. T. Wu, Phys. Rev. Lett. 113, 225702 (2014).
- W. Burchard, Adv. Polym. Sci. 48, 1 (1983).
- A. T. Boothroyd, G. L. Squires, L. J. Fetters, A. R. Rennie, J. C. Horton, and A. M. B. G. De Vallera, Macromolecules 22, 3130 (1989).
- B. Hammouda, R. M. Briber, and B. J. Bauer, Polymer 33, 1785 (1992).
- B. Hammouda, Sans from homogeneous polymer mixtures: A unified overview, in Polymer Characteristics, Advances in Polymer Science, Vol. 106 (Springer, Berlin, Heidelberg, 1993), pp. 87–133.
- B. Hammouda, Polym. Rev. 50, 14 (2010).
- J. S. Lee, M. D. Foster, and D. T. Wu, Macromolecules 39, 5113 (2006).
- T. P. Russell, L. J. Fetters, J. C. Clark, B. J. Bauer, and C. C. Han, Macromolecules 23, 654 (1990).
- C. C. Greenberg, M. D. Foster, C. M. Turner, S. Corona-Galvan, E. Cloutet, R. P. Quirk, P. D. Butler, and C. Hawker, J. Polym. Sci. Part B: Polym. Phys. 39, 2549 (2001).
- B. Farnoux, F. Boue, and J. Cotton, J. Phys. (France) 39, 77 (1978).
- P. G. De Gennes, Scaling Concepts in Polymer Physics, 1st ed. (Cornell University Press, Ithaca, NY, 1979).
- M. Daoud and J. Cotton, J. Phys. (France) 43, 531 (1982).
- G. S. Grest, K. Kremer, and T. A. Witten, Macromolecules 20, 1376 (1987).
- Y. Rouault and O. V. Borisov, Macromolecules 29, 2605 (1996).
- I. Carmesin and K. Kremer, Macromolecules 21, 2819 (1988).
- H. P. Deutsch and K. Binder, J. Chem. Phys. 94, 2294 (1991).
- A. Yethiraj, J. Chem. Phys. 125, 204901 (2006).
- A. Di Cecca and J. J. Freire, Macromolecules 35, 2851 (2002).
- E. Helfand and Y. Tagami, J. Chem. Phys. 57, 1812 (1972).
- E. Helfand and Y. Tagami, J. Chem. Phys. 56, 3592 (1972).
- D. G. Walton and A. M. Mayes, Phys. Rev. E 54, 2811 (1996).
- D. T. Wu and G. H. Fredrickson, Macromolecules 29, 7919 (1996).
- D. T. Wu, G. H. Fredrickson, and J.-P. Carton, J. Chem. Phys. 104, 6387 (1996).
- G. J. Fleer, M. A. C. Stuart, J. M. H. M. Scheutjens, T. Cosgrove, and B. Vincent, Polymers at Interfaces (Chapman and Hall, London, 1993).
- P. G. Ferreira and L. Leibler, J. Chem. Phys. 105, 9362 (1996).
- G. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers (Oxford University Press, Oxford, UK, 2006).
- M. W. Matsen, in Soft Matter, edited by G. Gompper and M. Schick (Wiley-VCH Verlag, Weinheim, Germany, 2006), Vol. 1.
- O. V. Rud, A. A. Polotsky, T. Gillich, O. V. Borisov, F. A. M. Leermakers, M. Textor, and T. M. Birshtein, Macromolecules 46, 4651 (2013).
- J. G. Curro and K. S. Schweizer, Macromolecules 20, 1928 (1987).
- K. Schweizer and J. Curro, Adv. Polym. Sci. 116, 319 (1994).
- C. J. Grayce, A. Yethiraj, and K. S. Schweizer, J. Chem. Phys. 100, 6857 (1994).
- C. J. Grayce and K. S. Schweizer, Macromolecules 28, 7461 (1995).
- D. G. Gromov and J. J. de Pablo, J. Chem. Phys. 103, 8247 (1995).
- A. Yethiraj, J. Chem. Phys. 108, 1184 (1998).
- R. Patil, K. S. Schweizer, and T.-M. Chang, Macromolecules 36, 2544 (2003).
- J. M. H. M. Scheutjens and G. J. Fleer, J. Phys. Chem. 83, 1619 (1979).
- J. Klein Wolterink, F. A. M. Leermakers, G. J. Fleer, L. K. Koopal, E. B. Zhulina, and O. V. Borisov, Macromolecules 32, 2365 (1999).
- J. Klein Wolterink, J. van Male, M. A. Cohen Stuart, L. K. Koopal, E. B. Zhulina, and O. V. Borisov, Macromolecules 35, 9176 (2002).
- S. F. Edwards, Proc. Phys. Soc. 88, 265 (1966).
- S. F. Edwards, Proc. Phys. Soc. 85, 613 (1965).
- L. R. Hutchings, R. W. Richards, S. W. Reynolds, and R. L. Thompson, Macromolecules 34, 5571 (2001).
- J. des Cloizeaux, Phys. Rev. A 10, 1665 (1974).
- M. Bishop, J. H. R. Clarke, A. Rey, and J. J. Freire, J. Chem. Phys. 95, 4589 (1991).
- S. Caracciolo, M. S. Causo, and A. Pelissetto, J. Chem. Phys. 112, 7693 (2000).
- J. C. Horton, G. L. Squires, A. T. Boothroyd, L. J. Fetters, A. R. Rennie, C. J. Glinka, and R. A. Robinson, Macromolecules 22, 681 (1989).
- D. Wang, Y. Yuan, Y. Mardiyati, C. Bubeck, and K. Koynov, Macromolecules 46, 6217 (2013).
- J. S. S. Wong, L. Hong, S. C. Bae, and S. Granick, Macromolecules 44, 3073 (2011).
- C. Gerstl, G. J. Schneider, W. Pyckhout-Hintzen, J. Allgaier, S. Willbold, D. Hofmann, U. Disko, H. Frielinghaus, and D. Richter, Macromolecules 44, 6077 (2011).
- B. McCulloch, V. Ho, M. Hoarfrost, C. Stanley, C. Do, W. T. Heller, and R. A. Segalman, Macromolecules 46, 1899 (2013).
- D. Wang, R. Hu, J. N. Mabry, B. Miao, D. T. Wu, K. Koynov, and D. K. Schwartz, J. Am. Chem. Soc. 137, 12312 (2015).
- T. G. Desai, P. Keblinski, S. K. Kumar, and S. Granick, J. Chem. Phys. 124, 084904 (2006).
- T. G. Desai, P. Keblinski, S. K. Kumar, and S. Granick, Phys. Rev. Lett. 98, 218301 (2007).
- D. Mukherji, C. M. Marques, and K. Kremer, Nat. Commun. 5, 4882 (2014).
- A. Chremos, E. Glynos, and P. F. Green, J. Chem. Phys. 142, 044901 (2015).