Bending-rigidity-driven transition and crumpling-point scaling of lattice vesicles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 6, 1996, Pages 5800-5807

  Orlandini, E ^a   Stella, A L ^b   Einstein, T L ^c   Tesi, M C ^a   Beichl, I ^d   Sullivan, F ^e  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF PADOVA   (Italy)

^c Bldg 142   (United States)

^d NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^e Center for Computing Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243974974     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.5800     Document Type: Article

References (40)

1. Contributions in Statistical Mechanics of Membranes and Surfaces, edited by D.R. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
2. R. Lipowsky, Nature349, 475 (1991).
3. G. Gompper and D M. Kroll, Phys. Rev. E51, 514 (1995).
4. Y. Kantor, M. Kardar and D R. Nelson, Phys. Rev. Lett.57, 791 (1986).
5. A. Maritan and A L. Stella, Phys. Rev. Lett.53, 123 (1984).
6. B. Durhuus, J. Fröhlich, and T. Jonsson, Nucl. Phys.B225 [FS9], 185 (1983).
7. B. Durhuus, J. Fröhlich, and T. Jonsson, Nucl. Phys.B240 [FS12], 453 (1984).
8. U. Glaus, J. Stat. Phys.50, 1141 (1988).
9. J. Fröhlich, in Applications of Field Theory to Statistical Mechanics, edited by L. Garrido, Lectures Notes in Physics Vol. 216 (Springer, Berlin, 1985), p. 31.
10. U. Glaus, Phys. Rev. Lett.56, 1986 (1986).
11. U. Glaus and T L. Einstein, J. Phys. A20, L105 (1987).
12. J. O'Connell, F. Sullivan, D. Libes, E. Orlandini, M C. Tesi, A L. Stella and T L. Einstein, J. Phys. A24, 4619 (1991).
13. A. Baumgärtner and A. Romero, Physica A187, 243 (1992).
14. A L. Stella, E. Orlandini, I. Beichl, F. Sullivan, M C. Tesi and T L. Einstein, Phys. Rev. Lett.69, 3650 (1992).
15. E. Orlandini and M C. Tesi, Physica A185, 160 (1992).
16. A. Baumgärtner, Physica A190, 62 (1992).
17. M E. Fisher, A J. Guttmann and S G. Whittington, J. Phys. A24, 3095 (1991).
18. A F. Andreev, Zh. Éksp. Teor. Fiz.45, 2064 (1963) [Sov. Phys. JETP18, 1415 (1964)].
19. M E. Fisher, Physics3, 1415 (1967);
20. in Proceedings of the Gibbs Symposium: Yale University, 1989, edited by D.G. Caldi and G.D. Mostow (American Mathematical Society, Providence, 1990), p. 39.
21. E. Orlandini, A L. Stella, M C. Tesi and F. Sullivan, Phys. Rev. E48, R4203 (1993).
22. S. Leibler, R.R.P. Singh and M E. Fisher, Phys. Rev. Lett.59, 1989 (1987).
23. D M. Kroll and G. Gompper, Science255, 968 (1992).
24. A. Baumgärtner, Physica A192, 550 (1993).
25. A L. Stella, Turkish J. Phys.18, 244 (1994).
26. D R. Nelson and L. Peliti, J. Phys. (Paris)48, 1085 (1987).
27. M. Kardar and D R. Nelson, Phys. Rev. A38, 966 (1988).
28. E. Guitter, F. David, S. Leibler and L. Peliti, J. Phys. (Paris)50, 1787 (1987).
29. Y. Kantor and D R. Nelson, Phys. Rev. A36, 4020 (1987).
30. F F. Abraham, W. Rudge and M. Plischke, Phys. Rev. Lett.62, 1757 (1989).
31. The results of this paper cast serious doubts on the existence of a crumpling transition claimed in Ref. 28.
32. S G. Whittington, J. Math. Chem.14, 103 (1993).
33. E.J. Janse van Rensburg (private communication).
34. G. Parisi and N. Sourlas, Phys. Rev. Lett.46, 871 (1981).
35. J. Banavar, A. Maritan and A. Stella, Phys. Rev. A43, 5752 (1991).
36. A J. Guttman and I G. Enting, J. Phys. A21, L165 (1988).
37. V. Privman, P C. Hohenberg, and A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, New York, 1993), Vol. 14.
38. J P. Straley and M J. Stephen, J. Phys. A20, 6501 (1987).
39. I G. Enting and A J. Guttman, J. Stat. Phys.58, 475 (1990).
40. The recollection that roughening only occurs in lattice models does not provide the answer. The crumpling transition is distinct: e.g., it leads to an increase in the Hausdorff dimension, in contrast to roughening. See Sec. 3 of Ref. [9].