Conformation of Self-Avoiding Randomly Tethered Membrane

Journal of the Physical Society of Japan

Volumn 65, Issue 7, 1996, Pages 1988-1993

  Mori, Shintaro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Buckling transition; Crumpled phase; Polymerized membrane; Self avoidance; Wrinkling transition

Indexed keywords

EID: 0030495144     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.1988     Document Type: Article

References (28)

1. H. S. Seung and D. R. Nelson: Phys. Rev. A 38 (1988) 1005.
2. C. Carraro and D. R. Nelson: Phys. Rev. E 48 (1993) 3082.
3. Statistical Mechanics of Membranes and Surfaces, Proc. of the Fifth Jerusalem Winter School, ed. D. R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 1989).
4. M. Mutz, D. Bensimon and M. J. Brienne: Phys. Rev. Lett. 67 (1991) 923.
5. D. Bensimon, M. Mutz and T. Gulik: Physica A 194 (1993) 190.
6. D. R. Nelson and L. Radzihovsky: Europhys. Lett. 16 (1991) 79.
7. L. Radzihovsky and D. R. Nelson: Phys. Rev. A 44 (1991) 3525.
8. D. C. Morse, T. C. Lubensky and G. S. Grest: Phys. Rev. A 45 (1992) 2151.
9. D. C. Morse and T. C. Lubensky: Phys. Rev. A 46 (1992) 1751.
10. L. Radzihovsky and P. Le Doussal: J. Phys. (Paris) I 2 (1992) 599.
11. P. Le Doussal and L. Radzihovsky: Phys. Rev. B 48 (1993) 3548.
12. D. R. Nelson and L. Radzihovsky: Phys. Rev. A 46 (1992) 7474.
13. M. Plischke and D. Boal: Phys. Rev. A 38 (1988) 4943.
14. F. F. Abraham, W. Rudge and M. Plischke: Phys. Rev. Lett. 62 (1989) 1757.
15. D. Boal, E. Levinson, D. Liu and M. Plischke: Phys. Rev. A 40 (1989) 3292.
16. A. Baumgarter and W. Renz: Europhys. Lett. 17 (1992) 381.
17. D. M. Kroll and G. Gompper: J. Phys. I (Paris) 3 (1993) 1131.
18. F. F. Abraham and D. R. Nelson: J. Phys. (Paris) 51 (1990) 2653.
19. Y. Kantor and K. Kremer: Phys. Rev. E 48 (1993) 2490.
20. S. Mori and M. Wadati: Phys. Lett. A 185 (1994) 206; J. Phys. Soc. Jpn. 63 (1993) 3864.
21. S. Mori and M. Wadati: Phys. Lett. A 185 (1994) 206; J. Phys. Soc. Jpn. 63 (1993) 3864.
22. S. Mori and M. Wadati: Phys. Rev. E 50 (1994) 867.
23. D. C. Morse, I. B. Petsche, G. S. Grest and T. C. Lubensky: Phys. Rev. A 46 (1992) 6745.
24. The correspondence used here is only intuitive.
25. S. Mori: Phys. Lett. A 207 (1995) 87.
26. R. Friedberg and H.-C. Ren: Nucl. Phys. B 235 (1984) 310.
27. 24) a different procedure for preparing an initial configuration is used. At each system size we prepapre a random initial configuration for monomers and polymerize them. At small system size (N < 169) the membrane is crumpled, however at large system size, the scaling properties of the membrane is not good. The reason is that the prepared initial configuration is not isotropic in 2-dimensional space. In this paper, we have modified the initial density of monomers in order to get an isotropic initial configuration. We also note that in this work we have used the same initial configuration of monomers and only changes the number of monomers which are excised from the configuration. With these improvements data show good scaling and we can determine several exponents.
28. S. Mori: Phys. Rev. E, in press.