Defect formation and coarsening in hexagonal 2D curved crystals

Soft Matter

Volumn 11, Issue 5, 2015, Pages 898-907

  García, Nicolás A ^a   Pezzutti, Aldo D ^a   Register, Richard A ^b   Vega, Daniel A ^a   Gómez, Leopoldo R ^a  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^b Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COARSENING; CRYSTAL ORIENTATION; CRYSTAL STRUCTURE; DEFECT DENSITY; DEFECTS; DISLOCATIONS (CRYSTALS); DOMAIN WALLS; GRAIN BOUNDARIES;

DEFECT ANNIHILATION; DENSITY OF DEFECTS; DENSITY OF DISLOCATION; DIFFERENT STRUCTURE; GEODESIC CURVATURES; GRAIN BOUNDARY MOTIONS; POLYCRYSTALLINE STRUCTURE; TWO DIMENSIONAL (2 D);

CRYSTAL DEFECTS;

EID: 84921498237     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c4sm02234c     Document Type: Article

References (49)

1. D. R. Nelson, Defects and Geometry in Condensed Matter Physics, Cambridge University Press, Cambridge, 2002.
2. V. Vitelli, J. B. Lucks and D. R. Nelson, Proc. Natl. Acad. Sci. U. S. A., 2006, 103, 12323.
3. M. J. Bowick and L. Giomi, Adv. Phys., 2009, 58, 449.
4. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics, Cambridge Univ. Press, Cambridge, 1995.
5. C. K. Harrison, D. E. Angelescu, M. Trawick, Z. Cheng, D. A. Huse, P. M. Chaikin, D. A. Vega, J. M. Sebastian, R. A. Register and D. H. Adamson, Europhys. Lett., 2004, 67, 800.
6. D. A. Vega, C. K. Harrison, D. E. Angelescu, M. L. Trawick, D. A. Huse, P. M. Chaikin and R. A. Register, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2005, 71, 061803.
7. W. F. Harris, in Fundamental Aspects of Dislocation Theory, ed. J. A. Simmons, R. de Wit and R. Bullough, Nat. Bur. Stand. Spec. Publ. 317, vol. I, U. S., 1970.
8. F. R. N. Navarro, in Fundamental Aspects of Dislocation Theory, ed. J. A. Simmons, R. de Wit and R. Bullough, Nat. Bur. Stand. Spec. Publ. 317, vol. I, U. S., 1970.
9. A. Pérez-Garrido, M. J. W. Dodgson and M. A. Moore, Phys. Rev. B: Condens. Matter Mater. Phys., 1997, 56, 3640.
10. C. Li, X. Zhang and Z. Cao, Science, 2005, 309, 909.
11. A. Hexemer, V. Vitelli, E. J. Kramer and G. H. Fredrickson, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2007, 76, 051604.
12. W. T. M. Irvine and V. Vitelli, Soft Matter, 2012, 8, 10123.
13. M. Rubinstein and D. R. Nelson, Phys. Rev. B: Condens. Matter Mater. Phys., 1983, 28, 6377.
14. L. Giomi and M. Bowick, Phys. Rev. B: Condens. Matter Mater. Phys., 2007, 76, 054106.
15. M. Bowick, H. Shin and A. Travesset, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2007, 75, 021404.
16. L. Giomi and M. J. Bowick, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2008, 78, 010601.
17. M. J. Bowick and Z. Yao, Europhys. Lett., 2011, 93, 36001.
18. A. R. Bausch, M. J. Bowick, A. Cacciuto, A. D. Dinsmore, M. F. Hsu, D. R. Nelson, M. G. Nikolaides, A. Travesset and D. A. Weitz, Science, 2003, 299, 1716.
19. P. Lipowsky, M. J. Bowick, J. H. Meinke, D. R. Nelson and A. R. Bausch, Nat. Mater., 2005, 4, 407.
20. T. Einert, P. Lipowsky, J. Schilling, M. J. Bowick and A. R. Bausch, Langmuir, 2005, 21, 12076.
21. W. T. M. Irvine, V. Vitelli and P. M. Chaikin, Nature, 2010, 468, 947.
22. W. T. M. Irvine, M. Bowick and P. M. Chaikin, Nat. Mater., 2012, 11, 948.
23. A. Hexemer, Ph.D. thesis, Uuniversity of California, Santa Barbara, 2006.
24. C. D. Santangelo, V. Vitelli, R. D. Kamien and D. R. Nelson, Phys. Rev. Lett., 2007, 99, 017801.
25. T. L. Chantawansri, A. W. Bosse, A. Hexemer, H. D. Ceniceros, C. J. Garca-Cervera, E. J. Kramer and G. H. Fredrickson, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2007, 75, 031802.
26. L. R. Gómez and D. A. Vega, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2009, 79, 031701.
27. I. Hasegawa and H. Shima, Mod. Phys. Lett. B, 2011, 25, 581.
28. T. Lopez-Leon, V. Koning, K. B. S. Devaiah, V. Vitelli and A. Fernandez-Nieves, Nat. Phys., 2011, 7, 391.
29. D. A. Vega, L. R. Gómez, A. D. Pezzutti, F. Pardo, P.M. Chaikin and R. A. Register, Soft Matter, 2013, 9, 9385-9391.
30. N. Xie, W. Li, F. Qiu and A.-C. Shi, Soft Matter, 2013, 9, 536.
31. N. A. García, R. A. Register, D. A. Vega and L. R. Gómez, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2013, 88, 012306.
32. G. Meng, J. Paulose, D. R. Nelson and V. N. Manoharan, Science, 2014, 343, 634.
33. L. R. Gómez and D. A. Vega, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2011, 83, 021501.
34. T. Ohta and K. Kawasaki, Macromolecules, 1986, 19, 2621.
35. M. Seul and D. Andelman, Science, 1995, 267, 476.
36. S. A. Brazovskii, J. Exp. Theor. Phys., 1975, 41, 85.
37. S. Alexander and J. McTague, Phys. Rev. Lett., 1978, 41, 702.
38. S. A. Brazovskii, I. E. Dzyaloshinskii and A. R. Muratov, J. Exp. Theor. Phys., 1987, 66, 625.
39. A. D. Pezzutti, L. R. Gómez, M. A. Villar and D. A. Vega, Europhys. Lett., 2009, 87, 66003.
40. C. Ortix, J. Lorenzana and C. Di Castro, Phys. Rev. Lett., 2008, 100, 246402.
41. D. A. Vega and L. R. Gómez, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2009, 79, 051607.
42. B. O'Neill, Elementary Differential Geometry, Academic, New York, 1997.
43. L. R. Gómez, E. M. Valles and D. A. Vega, Phys. Rev. Lett., 2006, 97, 188302.
44. J. A. Sethian and P. Smereka, Annu. Rev. Fluid Mech., 2003, 35, 341.
45. S. M. Allen and J. W. Cahn, Acta Metall., 1979, 27, 1058.
46. G. Tarjus, F. Sausset and P. Viot, Adv. Chem. Phys., 2012, 148, 251.
47. P. Castro-Villarreal, J. Stat. Mech.: Theory Exp., 2010, P08006.
48. R. deWit, J. Appl. Phys., 1971, 42, 3304.
49. W. F. Harris and L. E. Scriven, J. Appl. Phys., 1971, 42, 3309.