Improved algorithms for simulating crystalline membranes

Computer Physics Communications

Volumn 109, Issue 2-3, 1998, Pages 161-170

  Thorleifsson, Gudmar ^a   Falcioni, Marco ^b,c  

^a BIELEFELD UNIVERSITY   (Germany)

^b SYRACUSE UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Crystalline surfaces; Improved algorithms; Monte Carlo simulations; Multigrid; Overrelaxation; Unigrid

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; MEMBRANES; MONTE CARLO METHODS;

CRYSTALLINE MEMBRANES; METROPOLIS ALGORITHMS; OVERRELAXATION ALGORITHMS; UNIGRID ALGORITHMS;

CRYSTALLINE MATERIALS;

EID: 0032049017     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(98)00014-9     Document Type: Article

References (30)

1. S.L. Adler, Phys. Rev. D 23 (1981) 2901.
2. G.G. Batrouni, G.R. Katz, A.S. Kronfeld, G.P. Lepage, B. Svetitsky, K.G. Wilson, Phys. Rev. D 32 (1985) 2736.
3. G. Parisi, in: Progress in Gauge Field Theory (Charges 1983), G. t'Hooft et al., eds. (Plenum, New York, 1984); J. Goodman, A.D. Sokal, Phys. Rev. Lett. 56 (1986) 1015; Phys. Rev. D 40 (1989) 2035.
4. G. Parisi, in: Progress in Gauge Field Theory (Charges 1983), G. t'Hooft et al., eds. (Plenum, New York, 1984); J. Goodman, A.D. Sokal, Phys. Rev. Lett. 56 (1986) 1015; Phys. Rev. D 40 (1989) 2035.
5. G. Parisi, in: Progress in Gauge Field Theory (Charges 1983), G. t'Hooft et al., eds. (Plenum, New York, 1984); J. Goodman, A.D. Sokal, Phys. Rev. Lett. 56 (1986) 1015; Phys. Rev. D 40 (1989) 2035.
6. R.H. Swendsen, J.-S. Wang, Phys. Rev. Lett. 58 (1987) 86.
7. A. Polyakov, Nucl. Phys. B 268 (1986) 406.
8. J. Ambjørn, B. Durhuus, T. Jonsson, Nucl. Phys. B 316 (1989) 526.
9. R.G. Harnish and J.F. Wheater, Nucl. Phys. B 350 (1991) 861;
10. J.F. Wheater, hep-lat/9503008, Nucl. Phys. B 458 (1996) 671.
11. M. Baig, D. Espriu, A. Travesset, Nucl. Phys. B 426 (1994) 575;
12. D. Espriu, A. Travesset, hep-lat/9505018, Phys. Lett. B 356 (1995) 329;
13. hep-lat/9509062, Nucl. Phys. B 47 (Proc. Suppl.) (1996) 637.
14. M.J. Bowick, S.M. Catterall, M. Falcioni, G. Thorleifsson, K.N. Anagnostopoulos, hep-lat/9509074, Nucl. Phys. B 47 (Proc. Suppl.) (1996) 838;
15. cond-mat/9603157, J. Phys. I France 6 (1996) 1321;
16. hep-lat/9608044, Nucl. Phys. B53 (Proc. Suppl.) (1997) 746;
17. M. Falcioni, M.J. Bowick, E. Guitter, G. Thorleifsson, cond-mat/9610007, Europhys. Lett. 38 (1997) 67.
18. I. Horváth, A.D. Kennedy, The local hybrid Monte Carlo algorithm for free field theory: reexmaining overrelaxation, hep-lat/9708024, FSU-SCRI-97-94.
19. R.M. Neal, Suppressing random walks in Markov chain Monte Carlo using ordered overrelaxation, bayes-an/9506004, Technical report No. 9508 (Dept. of Statistics, University of Toronto).
20. F.R. Brown, T.J. Woch, Phys. Rev. Lett. 58 (1987) 2394; M. Creutz, Phys. Rev. D 36 (1987) 515; P.J. Green, X. Han, in: Stocastic Models, Statistical Methods, and Algorithms in Image Analysis, P. Barone et al., eds., Lecture Notes in Statistics (Springer, Berlin, 1992); Z. Fodor, K. Jansen, hep-lat/9403024, Phys. Lett. B 331 (1994) 119;
21. F.R. Brown, T.J. Woch, Phys. Rev. Lett. 58 (1987) 2394; M. Creutz, Phys. Rev. D 36 (1987) 515; P.J. Green, X. Han, in: Stocastic Models, Statistical Methods, and Algorithms in Image Analysis, P. Barone et al., eds., Lecture Notes in Statistics (Springer, Berlin, 1992); Z. Fodor, K. Jansen, hep-lat/9403024, Phys. Lett. B 331 (1994) 119;
22. F.R. Brown, T.J. Woch, Phys. Rev. Lett. 58 (1987) 2394; M. Creutz, Phys. Rev. D 36 (1987) 515; P.J. Green, X. Han, in: Stocastic Models, Statistical Methods, and Algorithms in Image Analysis, P. Barone et al., eds., Lecture Notes in Statistics (Springer, Berlin, 1992); Z. Fodor, K. Jansen, hep-lat/9403024, Phys. Lett. B 331 (1994) 119;
23. F.R. Brown, T.J. Woch, Phys. Rev. Lett. 58 (1987) 2394; M. Creutz, Phys. Rev. D 36 (1987) 515; P.J. Green, X. Han, in: Stocastic Models, Statistical Methods, and Algorithms in Image Analysis, P. Barone et al., eds., Lecture Notes in Statistics (Springer, Berlin, 1992); Z. Fodor, K. Jansen, hep-lat/9403024, Phys. Lett. B 331 (1994) 119;
24. W.L. Briggs, A Multigrid Tutorial (SIAM, Philadelphia, PA, 1987); W. Hackbush, Multigrid Methods and Applications (Springer, Berlin, 1985).
25. W.L. Briggs, A Multigrid Tutorial (SIAM, Philadelphia, PA, 1987); W. Hackbush, Multigrid Methods and Applications (Springer, Berlin, 1985).
26. A. Cucchieri, T. Mendes, hep-lat/9511020, Nucl. Phys. B 471 (1996) 263.
27. M. Grabstein, K. Pinn, hep-lat/9204016, Phys. Rev. D 45 (1992) 4372.
28. J. Ambjørn, A. Irback, J. Jurkiewicz, B. Petersson, hep-lat/9207008, Nucl. Phys. B 393 (1993) 571; M. Bowick, P. Coddington, L. Han, G. Harris, hep-lat/9209020, Nucl. Phys. B 394 (1993) 791; K. Anagnostopoulos, M. Bowick, P. Coddington, M. Falcioni, L. Han, G. Harris, E. Marinari, hep-th/9308091, Phys. Lett. B 317 (1993) 102.
29. J. Ambjørn, A. Irback, J. Jurkiewicz, B. Petersson, hep-lat/9207008, Nucl. Phys. B 393 (1993) 571; M. Bowick, P. Coddington, L. Han, G. Harris, hep-lat/9209020, Nucl. Phys. B 394 (1993) 791; K. Anagnostopoulos, M. Bowick, P. Coddington, M. Falcioni, L. Han, G. Harris, E. Marinari, hep-th/9308091, Phys. Lett. B 317 (1993) 102.
30. J. Ambjørn, A. Irback, J. Jurkiewicz, B. Petersson, hep-lat/9207008, Nucl. Phys. B 393 (1993) 571; M. Bowick, P. Coddington, L. Han, G. Harris, hep-lat/9209020, Nucl. Phys. B 394 (1993) 791; K. Anagnostopoulos, M. Bowick, P. Coddington, M. Falcioni, L. Han, G. Harris, E. Marinari, hep-th/9308091, Phys. Lett. B 317 (1993) 102.