Abstract
The critical behaviour of surface adsorption and collapse transition of a flexible self-attracting self-avoiding polymer chain is examined. Depending upon the underlying lattice and space dimensionality, phase diagrams that exhibit many different universality domains of critical behavior are found. We discuss these phase diagrams and the values of the critical exponents found from different theoretical methods.
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References
See, for example, P G de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979)
J des Cloiseaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990)
P G de Gennes, J. Phys. (Paris) 36, 155 (1975)
D J Klein and W A Seitz, J. Phys. (Paris) Lett. 45, L241 (1984)
D Dhar and J Vannimenus, J. Phys. A20, 199 (1987)
I S Chang and Y Shapir, J. Phys. A21, L903 (1988)
F Igloi, Phys. Rev. A43, 3194 (1991)
E Bouchaud, A Aurvray, J P Cotten, M Daoud, B Farnoux and G Jannink, Prog. Surf. Sci. 27, 5 (1988)
S Kumar and Y Singh, Physica A229, 61 (1996)
I Guim and T W Burkhard, Phys. Rev. E49, 1495 (1994)
P Grassberger and R Hegger, Phys. Rev. E51, 2674 (1995).
H Meirovitch and I S Chang, Phys. Rev. E48, 1960 (1993)
D Zhao, T Lookman and K. Dé Bell, Phys. Rev. A42, 4591 (1990)
D P Foster, E Orlandini and M C Tesi, J. Phys. 25, L1211 (1992)
E Domany, D Mukamel, B Nienhuis and A Schwimmer, Nucl. Phys. B 190, 279 (1981)
J L Cardy, Nucl. Phys. B240, 514 (1984)
B Duplantier and H Saleur, Phys. Rev. Lett. 57, 3179 (1986)
T W Burkhard and E Eisenriegler, Nucl. Phys. B424, 487 (1994)
M T Batchelor and C M Yung, Phys. Rev. Lett. 74, 2026 (1995)
S Kumar and Y Singh, Phys. Rev. E 48, 734 (1993)
S Milosevic, I Zivic and V Miljkovic, Phys. Rev. E55, 5671 (1997)
D Dhar, J. Math. Phys. 18, 577 (1977)
D R Nelson and M E Fisher, Ann. Phys. (NY). 91, 226 (1975)
S Kumar and Y Singh, Phys. Rev. A42, 7151 (1990)
S Kumar, Y Singh and Y P Joshi, J. Phys. 23, 2987 (1990)
S Kumar and Y Singh, ibid. 23, 5118 (1990)
I Guim and T W Burkhard, J. Phys. 22, 1131 (1989)
T W Burkhard, E Eisenriegler and I Guim, Nucl. Phys. B316, 559 (1989)
E Eisenriegler, K Kremer and K Binder, J. Chem. Phys. 77, 6296 (1982)
E Bouchaud and J Vannimenus, J. Phys. 50, 2931 (1989)
K Kremer, J. Phys. 16, 4333 (1983)
Y Singh, D Giri and S Kumar, preprint (to be published)
S Kumar and Y Singh J. Stat. Phys. (communicated)
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Singh, Y., Kumar, S. & Giri, D. Surface adsorption and collapse transition of linear polymer chains. Pramana - J Phys 53, 37–51 (1999). https://doi.org/10.1007/s12043-999-0139-z
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DOI: https://doi.org/10.1007/s12043-999-0139-z