Folding of the triangular lattice with quenched random bending rigidity

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

Volumn 55, Issue 1, 1997, Pages 237-251

  Di Francesco, P ^a   Guitter, E ^a   Mori, S ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; MAGNETIC FIELDS; MAGNETIZATION; MOLECULAR DYNAMICS; PHASE DIAGRAMS; PHASE TRANSITIONS; POLYMERIC MEMBRANES; RANDOM PROCESSES; THERMODYNAMICS;

CLUSTER VARIATION METHOD; DISORDERED SYSTEMS; QUENCHED RANDOM BENDING RIGIDITY; TRANSFER MATRIX METHOD; TRIANGULAR LATTICE;

MOLECULAR STRUCTURE;

EID: 0030836894     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.237     Document Type: Article

References (36)

1. Statistical Mechanics of Membranes and Surfaces, Proceedings of the Fifth Jerusalem Winter School, edited by D. R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 1989).
2. D R. Nelson, in Fluctuating Geometries in Statistical Mechanics and Field Theory, edited by F. David, P. Ginsparg, and J. Zinn-Justin, Les Houches Session LXII (Elsevier Science, The Netherlands, 1996).
3. L. Pefiti, in idem Ref. [2].
4. Y. Kantor, M. Kardar and D R. Nelson, Phys. Rev. Lett.57, 791 (1986);
5. Y. Kantor, M. Kardar and D R. Nelson, Phys. Rev. A36, 3056 (1987).
6. D R. Nelson and L. Peliti, J. Phys. (France)48, 1085 (1987).
7. M. Paczuski, M. Kardar and D R. Nelson, Phys. Rev. Lett.60, 2638 (1988).
8. F. David and E. Guitter, Europhys. Lett.5, 709 (1988).
9. J. Aronovitz and T. Lubensky, Phys. Rev. Lett.60, 2636 (1988).
10. J. Aronovitz, L. Golubovic and T. Lubensky, J. Phys. (France)50, 609 (1989).
11. E. Guitter, F. David, S. Leibler and L. Peliti, Phys. Rev. Lett.61, 2949 (1988);
12. J. Phys. (France)50, 1787 (1989).
13. Y. Kantor and D R. Nelson, Phys. Rev. Lett.58, 2774 (1987);
14. Y. Kantor and D R. Nelson, Phys. Rev. A36, 4020 (1987).
15. See also M. Baig, D. Espriu and J. Wheater, Nucl. Phys. B314, 587 (1989);
16. R. Renken and J. Kogut, Nucl. Phys. Bibid. 342, 753 (1990);
17. R. Harnish and J. Wheater, Nucl. Phys. Bibid. 350, 861 (1991).
18. Y. Kantor and M. V. Jaric-acute, Europhys. Lett.11, 157 (1990).
19. P. Di Francesco and E. Guitter, Europhys. Lett.26, 455 (1994).
20. P. Di Francesco and E. Guitter, Phys. Rev. E50, 4418 (1994).
21. E. N. M. Cirillo, G. Gonnella and A. Pelizzola, Phys. Rev. E53, 1479 (1996).
22. M. Bowick, P. Di Francesco, O. Golinelli and E. Guitter, Nucl. Phys. B450, 463 (1995).
23. E. N. M. Cirillo, G. Gonnella and A. Pelizzola, Phys. Rev. E53, 3253 (1996).
24. See also A E. Lobkovsky, S. Gentges, Hao Li, D. Morse and T A. Witten, Science270, 1482 (1995);
25. E M. Kramer and A E. Lobkovsky, Phys. Rev. E53, 1465 (1996);
26. A. E. Lob- kovsky, Phys. Rev. Eibid. 53, 3750 (1996).
27. D C. Mattis, Phys. Lett.56A, 421 (1976);
28. D C. Mattis, Phys. Lett.60, 492(E) (1977).
29. R. Kikuchi, J. Chem. Phys.60, 1071 (1974).
30. T. Morita, Prog. Theor. Phys.103, 103 (1984).
31. C. Buzano, A. Maritan and A. Pelizzola, J. Phys. Condens. Matter6, 327 (1994).
32. S F. Edwards and P W. Anderson, J. Phys. F5, 965 (1975).
33. G. An, J. Stat. Phys.52, 727 (1988).
34. T. Morita, J. Stat. Phys.59, 819 (1990).
35. D. Bensimon, D. Mukamel and L. Peliti, Europhys. Lett.18, 269 (1992).
36. R. Attal, S. Chaieb and D. Bensimon, Phys. Rev. E48, 2232 (1993).