Lattice models for confined polymers

Brazilian Journal of Physics

Volumn 28, Issue 4, 1998, Pages 369-379

  Stilck, Jürgen F ^a  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032272056     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/s0103-97331998000400012     Document Type: Article

References (47)

1. P. J. Flory, Principles of Polymer Chemistry, Cornell University Press (1953).
2. B. Duplantier, J. Stat. Phys. 54, 581 (1989)
3. P.-G. de Gennes, Phys. Lett. A 38, 339 (1972)
4. P.-G. de Gennes, Scaling Concepts in Polymer Physics, third printing, Cornell University Press (1988).
5. P. Gujrati, Phys. Rev. B 31, 4375 (1985); Phys. Rev. Lett. 55, 1161 (1985).
6. P. Gujrati, Phys. Rev. B 31, 4375 (1985); Phys. Rev. Lett. 55, 1161 (1985).
7. J. C. Wheeler, J. F. Stuck, R. G. Petschek and P. Pfeuty, Phys. Rev. B 35, 284 (1987).
8. J. F. Nagle, C. S. O. Yokoi, and S. M. Bhattacharjee in Phase Transitions and Critical Phenomena, vol. 13, ed. by C. Domb and J. L. Lebowitz, Academic Press (1989).
9. D. Stauffer, Phys. Repts. 54, 1 (1979).
10. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Japan Suppl. 26,11 (1969), and Physica 57, 536 (1974). See also J. W. Essam in Phase Transitions and Critical Phenomena, vol 2, ed. by C. Domb and M. S. Green, Academic Press (1972).
11. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Japan Suppl. 26,11 (1969), and Physica 57, 536 (1974). See also J. W. Essam in Phase Transitions and Critical Phenomena, vol 2, ed. by C. Domb and M. S. Green, Academic Press (1972).
12. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Japan Suppl. 26,11 (1969), and Physica 57, 536 (1974). See also J. W. Essam in Phase Transitions and Critical Phenomena, vol 2, ed. by C. Domb and M. S. Green, Academic Press (1972).
13. H. N. V. Temperley and M. E. Fisher, Phil. Mag. 6, 1061 (1961); P. W. Kasteleyn, Physica 27, 1209 (1961) an J. Math. Phys. 4, 287 (1963).
14. H. N. V. Temperley and M. E. Fisher, Phil. Mag. 6, 1061 (1961); P. W. Kasteleyn, Physica 27, 1209 (1961) an J. Math. Phys. 4, 287 (1963).
15. H. N. V. Temperley and M. E. Fisher, Phil. Mag. 6, 1061 (1961); P. W. Kasteleyn, Physica 27, 1209 (1961) an J. Math. Phys. 4, 287 (1963).
16. J. C. Wheeler, S. Kennedy and P. Pfeuty, Phys. Rev. Lett. 45, 1748 (1980); J. C. Wheeler and P. Pfeuty, Phys. Rev A 24, 1050 (1981).
17. J. C. Wheeler, S. Kennedy and P. Pfeuty, Phys. Rev. Lett. 45, 1748 (1980); J. C. Wheeler and P. Pfeuty, Phys. Rev A 24, 1050 (1981).
18. P. M. Pfeuty and J. C. Wheeler, Phys. Rev. A 27, 2178 (1983).
19. B. Derrida, J. Phys. A 14, L5 (1981).
20. A. R. Conway and A. J. Guttmann, Phys. Rev. Lett. 77, 5284 (1996).
21. B. Nienhuis, Phys. Rev. Lett. 49, 1062 (1982); see also B. Nienhuis in Phase Transitions and Critical Phenomena, vol 11, ed. by C. Domb and J. L. Lebowitz, Academic Press (1987).
22. B. Nienhuis, Phys. Rev. Lett. 49, 1062 (1982); see also B. Nienhuis in Phase Transitions and Critical Phenomena, vol 11, ed. by C. Domb and J. L. Lebowitz, Academic Press (1987).
23. A. J. Guttmann and I. G. Enting, Phys. Rev. Lett. 76, 344 (1996).
24. J. F. Stilck and J. C. Wheeler, J. Stat. Phys. 46, 1 (1987); J. Stilck and M. J. de Oliveira, Phys. Rev. A 42, 5955 (1990); E. Botelho and J. F. Stilck, Phys. Rev. E 48, 723 (1993).
25. J. F. Stilck and J. C. Wheeler, J. Stat. Phys. 46, 1 (1987); J. Stilck and M. J. de Oliveira, Phys. Rev. A 42, 5955 (1990); E. Botelho and J. F. Stilck, Phys. Rev. E 48, 723 (1993).
26. J. F. Stilck and J. C. Wheeler, J. Stat. Phys. 46, 1 (1987); J. Stilck and M. J. de Oliveira, Phys. Rev. A 42, 5955 (1990); E. Botelho and J. F. Stilck, Phys. Rev. E 48, 723 (1993).
27. V. Privman and N. M. Švarkić, Direct Models for Polymers. Interfaces and Clusters: Scaling and Finite Size Properties, Lecture Notes in Physics, Springer, Berlin (1989).
28. K. De'Bell and T. Lookman, Rev. Mod. Phys. 65, 87 (1993).
29. K. Binder in Phase Transitions and Critical Phenomena, vol. 8, ed. by C. Domb and J. L. Lebowitz, Academic Press (1983).
30. R. J. Rubin, J. Chem. Phys. 43, 2392 (1965).
31. P. Serra and J. F. Stilck, Europhys. Lett. 17, 423 (1992); Phys. Rev. E 49, 1336 (1994).
32. P. Serra and J. F. Stilck, Europhys. Lett. 17, 423 (1992); Phys. Rev. E 49, 1336 (1994).
33. E. Eisenriegler, K. Kremer and K. Binder, J. Chem. Phys. 77, 6286 (1982); E. Eiseriegler, J. Chem. Phys. 79, 1052 (1983).
34. E. Eisenriegler, K. Kremer and K. Binder, J. Chem. Phys. 77, 6286 (1982); E. Eiseriegler, J. Chem. Phys. 79, 1052 (1983).
35. I. Guim and T. Burkhardt, J. Phys. Am22, 1131 (1989).
36. D. Zhao, T. Lookman and K. De'Bell, Phys. Rev. A 42, 4591 (1990).
37. J. M. Hammersley and S. G. Whittington, J. Phys. A 18, 101 (1985); S. G. Whittington and C. E. Soteros, Israel J. of Chem. 31, 127 (1991).
38. J. M. Hammersley and S. G. Whittington, J. Phys. A 18, 101 (1985); S. G. Whittington and C. E. Soteros, Israel J. of Chem. 31, 127 (1991).
39. J. F. Stilck, Europhys. Lett. 40, 19 (1997); Physica A 257, 233 (1998).
40. J. F. Stilck, Europhys. Lett. 40, 19 (1997); Physica A 257, 233 (1998).
41. J. F. Stilck and K. D. Machado, Eur. Phys. J., accepted (1998).
42. P. Serra, doctoral thesis (USP - Brazil) (1991).
43. E. A. DiMarzio and R. J. Rubin, J. Chem. Phys. 55, 4318 (1971).
44. M. N. Barber in Phase Transitions and Critical Phenomena, vol. 8, ed. by C. Domb and J. L. Lebowitz, Academic Press (1983).
45. V. Privman, Phys. Rev. B 32, 520 (1985).
46. K. Ingersent, J. Klein, and P. Pinkus, Macromolecules 19, 1374 (1986).
47. J. N. Israelachvili and S. J. Kott, J. Chem. Phys. 88, 7162 (1988).