Ground state of a large number of particles on a frozen topography

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 3, 2005, Pages

  Travesset, A ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXPLICIT SOLUTIONS; GEOMETRICAL ANSATZ; INTERACTION POTENTIAL; TORUS;

GEOMETRY; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING; TOPOLOGY;

GROUND STATE;

EID: 28844477951     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.036110     Document Type: Article

References (29)

1. J. H. Conway and N. J. A. Sloane. Sphere Packings, Lattices and Groups, 2nd ed. (Springer-Verlag, New York, 1993).
2. E. B. Saff and A. B. Kuijlaars, Math. Intell. MAINDC 0343-6993 19, 5 (1997).
3. J. J. Thomson, Philos. Mag. PHMAA4 0031-8086 7, 237 (1904).
4. U. Albrecht and P. Leiderer, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00121982 86, 131 (1992).
5. A. R. Bausch, M. Bowick, A. Cacciuto, A. Disnmore, M. Hsu, D. R. Nelson, M. Nikolaides, A. Travesset, and D. Weitz, Science SCIEAS 0036-8075 10.1126/science.1081160 299, 1716 (2003).
6. M. J. Bowick, D. R. Nelson, and A. Travesset, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.8738 62, 8738 (2000).
7. D. P. Hardin and E. B. Saff, Not. Am. Math. Soc. AMNOAN 0002-9920 51, 1186 (2004).
8. D. P. Hardin and E. B. Saff, Adv. Math. ADMTA4 0001-8708 193, 174 (2005).
9. E. L. Altschuler, E. R. Williams, R. Ratner, R. Tipton, R. Stong, and F. Wooten, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2681 78 2681, 1997.
10. D. M. Deaven, N. Tit, J. R. Morris, and K. M. Ho, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)00406-X 256, 195 (1996).
11. T. Erber and G. M. Hockney, Adv. Chem. Phys. ADCPAA 0065-2385 98, 594 (1997).
12. M. Bowick, A. Cacciuto, D. R. Nelson, and A. Travesset, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.185502 89, 185502 (2002).
13. M. Bowick and A. Travesset, J. Phys. A JPHAC5 0305-4470 34, 1 (2001).
14. A. Travesset, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.115421 68, 115421 (2003).
15. M. J. W. Dodgson and M. A. Moore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.11887 51, 11887 (1995).
16. A. Perez-Garrido, M. J. W. Dodgson, and M. A. Moore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.3640 56, 3640 (1997).
17. U. Frank, Z. Elektrochem. ZEELAI 0372-8382 56, 337 (1952).
18. M. Bowick, D. Nelson, and A. Travesset (unpublished).
19. J. Hirth and J. Lothe, Theory of Dislocations (Krieger Publishing Company, Melbourne, FL, 1992).
20. H. S. Seung and D. R. Nelson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.1005 38, 1005 (1988).
21. A. Toomre (unpublished).
22. A. Perez-Garrido and M. A. Moore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.15628 60, 15628 (1999).
23. M. Bowick, C. Cecka, and A. Middleton, http://www.cs.hmc.edu/~ccecka.
24. R. Womersley, www.maths.unsw.edu.au/~rsw.
25. M. Bowick, D. R. Nelson, and A. Travesset, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.041102 69, 041102 (2004).
26. V. Vitelli and D. R. Nelson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.051105 70, 051105 (2004).
27. V. Vitelli and A. M. Turner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.215301 93, 215301 (2004).
28. D. Nelson, Nano Lett. NALEFD 1530-6984 10.1021/nl0202096 2, 1125 (2002).
29. B. A. DiDonna and R. D. Kamien, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041703 68, 041703 (2003).