Counterintuitive ground states in soft-core models

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

Volumn 78, Issue 6, 2008, Pages

  Cohn, Henry ^a   Kumar, Abhinav ^b  

^a MICROSOFT RESEARCH   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICS; STATISTICAL MECHANICS; THREE DIMENSIONAL; TRELLIS CODES;

BRAVAIS LATTICES; CORE MODELS; CUBIC LATTICES; DECORRELATION; GAUSSIAN CORE MODELS; HIGH DIMENSIONS; LOW DIMENSIONS;

GROUND STATE;

EID: 58149236836     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.061113     Document Type: Article

References (24)

1. F. H. Stillinger, J. Chem. Phys. 65, 3968 (1976). 10.1063/1.432891
2. P. J. Flory and W. R. Krigbaum, J. Chem. Phys. 18, 1086 (1950). 10.1063/1.1747866
3. A. A. Louis, P. G. Bolhuis, J. P. Hansen, and E. J. Meijer, Phys. Rev. Lett. 85, 2522 (2000). 10.1103/PhysRevLett.85.2522
4. A. Lang, C. N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter 12, 5087 (2000). 10.1088/0953-8984/12/24/302
5. S. Prestipino, F. Saija, and P. V. Giaquinta, Phys. Rev. E 71, 050102 (R) (2005). 10.1103/PhysRevE.71.050102
6. F. Theil, Commun. Math. Phys. 262, 209 (2006). 10.1007/s00220-005-1458-7
7. A. Süto, Phys. Rev. Lett. 95, 265501 (2005). 10.1103/PhysRevLett.95. 265501
8. A. Süto, Phys. Rev. B 74, 104117 (2006). 10.1103/PhysRevB.74.104117
9. S. Torquato and F. H. Stillinger, Exp. Math. 15, 307 (2006).
10. G. Parisi and F. Zamponi, J. Stat. Mech.: Theory Exp. (2006) P03017. 10.1088/1742-5468/2006/03/P03017
11. S. Torquato and F. H. Stillinger, Phys. Rev. Lett. 100, 020602 (2008). 10.1103/PhysRevLett.100.020602
12. H. Cohn and A. Kumar, J. Am. Math. Soc. 20, 99 (2007). 10.1090/S0894-0347-06-00546-7
13. C. Zachary, F. H. Stillinger, and S. Torquato, J. Chem. Phys. 128, 224505 (2008). 10.1063/1.2928843
14. J. H. Conway and N. J. A. Sloane, Discrete Comput. Geom. 13, 383 (1995). 10.1007/BF02574051
15. G. Kuperberg, Geom. Topol. 4, 277 (2000). 10.2140/gt.2000.4.277
16. H. L. Montgomery, Glasg. Math. J. 30, 75 (1988).
17. D. MacKay, Information Theory, Inference, and Learning Algorithms (Cambridge University Press, Cambridge, 2003).
18. J. F. Sadoc and R. Mosseri, Geometrical Frustration (Cambridge University Press, Cambridge, 1999).
19. C. D. Modes and R. D. Kamien, Phys. Rev. Lett. 99, 235701 (2007). 10.1103/PhysRevLett.99.235701
20. C. D. Modes and R. D. Kamien, Phys. Rev. E 77, 041125 (2008). 10.1103/PhysRevE.77.041125
21. P. Ziherl and R. D. Kamien, Phys. Rev. Lett. 85, 3528 (2000). 10.1103/PhysRevLett.85.3528
22. P. Ziherl and R. D. Kamien, J. Phys. Chem. B 105, 10147 (2001). 10.1021/jp010944q
23. M. Skoge, A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. E 74, 041127 (2006). 10.1103/PhysRevE.74.041127
24. H. Cohn, J. Conway, N. Elkies, and A. Kumar, Exp. Math. 16, 313 (2007).