Simulated annealing for topological solitons

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

Volumn 62, Issue 3 B, 2000, Pages 4333-4346

  Hale, Mark ^a   Schwindt, Oliver ^b   Weidig, Tom ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; INTEGRATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; RELAXATION PROCESSES; RUNGE KUTTA METHODS; SIMULATED ANNEALING; TOPOLOGY;

EULER-LAGRANGE DIFFERENTIAL EQUATIONS; NUCLEAR SKYRME MODEL; SINE-GORDON MODELS; TOPOLOGICAL SOLITONS;

SOLITONS;

EID: 0034272209     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.4333     Document Type: Article

References (33)

1. J. S. Russell, Report of the 14th Meeting of the BAAS, York (John Murray, London, 1844), p. 311.
2. P. G. Drazin and R. S. Johnson, Solitons: An Introduction (Cambridge University Press, Cambridge, 1996).
3. L. H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, 1994), Chap. 10.
4. L. Faddeev and A. J. Niemi, Nature (London) 387, 58 (1997).
5. R. A. Battye and P. M. Sutcliffe, Phys. Rev. Lett. 81, 4798 (1998).
6. S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B 47, 16 419 (1993).
7. G. Holzwarth and B. Schwesinger, Rep. Prog. Phys. 49, 825 (1986).
8. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 1994).
9. M. Duff, e-print hep-th/9805177.
10. O. Schwindt, UMIST report (unpublished).
11. T. Weidig, Ph.D. thesis, University of Durham, 1999.
12. L. Ingber, J. Math. Comput. Model. 18, 29 (1993).
13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, 1992).
14. T. Weidig, Nonlinearity 12, 1489 (1999).
15. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, and A. H. Teller, J. Chem. Phys. 21, 1087 (1953).
16. M. H. Kalos and P. A. Whitlock, Monte Carlo Methods (Wiley, New York, 1986).
17. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
18. S. Geman and D. Geman, IEEE Trans. Pattern Anal. Mach. Intell. 26, 721 (1984).
19. R. Rajarman, Solitons and Instantons (North-Holland, Amsterdam, 1996).
20. S. Coleman, Phys. Rev. D 11, 2088 (1975).
21. D. Vanderbilt and S. G. Louie, J. Comput. Phys. 56, 259 (1984).
22. G. H. Derrick, J. Math. Phys. 5, 1252 (1964).
23. B. M. A. G. Piette and W. J. Zakrzewski, Chaos, Solitons and Fractals 5, 2495 (1995).
24. B. M. A. G. Piette, B. J. Schoers, and W. J. Zakrzewski, Z. Phys. C 65, 165 (1995).
25. O. Schwindt and N. Walet (unpublished).
26. F. Mandel, Statistical Physics (Wiley, New York, 1988).
27. K. Binder, Monte Carlo Methods (Springer-Verlag, Berlin, 1979).
28. D. Frenkel and B. Smith, Understanding Molecular Simulation (Academic, London, 1996).
29. G. 't Hooft, Nucl. Phys. B 72, 461 (1973).
30. E. Witten, Nucl. Phys. B 160, 55 (1979).
31. G. Adkins, C. Nappi, and E. Witten, Nucl. Phys. B 228, 552 (1983).
32. E. Braaten, S. Townend, and L. Carson, Phys. Lett. B 235, 147 (1990).
33. R. A. Battye and P. M. Sutcliffe, Phys. Rev. Lett. 79, 363 (1997).