Homogeneous nucleation under shear in a two-dimensional Ising model: Cluster growth, coalescence, and breakup

Journal of Chemical Physics

Volumn 129, Issue 13, 2008, Pages

  Allen, Rosalind J ^a   Valeriani, Chantal ^a,b   Tǎnase Nicola, Sorin ^b,c   Ten Wolde, Pieter Rein ^b   Frenkel, Daan ^b,d  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b FOM INSTITUTE AMOLF   (Netherlands)

^c UNIVERSITY OF MICHIGAN   (United States)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CIVIL ENGINEERING; ISING MODEL; SPIN DYNAMICS; TWO DIMENSIONAL;

CLUSTER COALESCENCE; CLUSTER GROWTH; HOMOGENEOUS NUCLEATION; MODEL SYSTEMS; NON-EQUILIBRIUM SYSTEMS; NUCLEATION BEHAVIOR; NUCLEATION RATES; RARE EVENTS; SHEAR RATES; SPIN FLIPPING; TWO-DIMENSIONAL ISING MODEL;

NUCLEATION;

EID: 53549129237     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2981052     Document Type: Article

References (63)

1. R. J. Allen, P. B. Warren, and P. R. ten Wolde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.018104 94, 018104 (2005).
2. R. J. Allen, D. Frenkel, and P. R. ten Wolde, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2140273 124, 024102 (2006).
3. R. J. Allen, D. Frenkel, and P. R. ten Wolde, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2198827 124, 194111 (2006).
4. J. Vermant and M. J. Solomon, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/4/R02 17, R187 (2005).
5. A. Onuki, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/ 29/001 9, 6119 (1997).
6. S. Butler and P. Harrowell, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.6424 52, 6424 (1995).
7. R. Blaak, S. Auer, D. Frenkel, and H. Löwen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.068303 93, 068303 (2004).
8. R. Blaak, S. Auer, D. Frenkel, and H. Löwen, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/38/007 16, S3873 (2004).
9. J. J. Cerd̀, T. Sintes, C. Holm, C. M. Sorensen, and A. Chakrabarti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.78.031403 78, 031403 (2008).
10. R. A. Gray, P. B. Warren, S. Chynoweth, Y. Michopoulos, and G. S. Pawley, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 448, 113 (1995).
11. B. J. Ackerson and P. N. Pusey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.1033 61, 1033 (1988).
12. M. D. Haw, W. C. K. Poon, and P. N. Pusey, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.6859 57, 6859 (1998).
13. P. Holmqvist, M. P. Lettinga, J. Buitenhuis, and J. K. G. Dhont, Langmuir LANGD5 0743-7463 10.1021/la051490h 21, 10976 (2005).
14. A. V. Mokshin and J. -L. Barrat, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.021505 77, 021505 (2008).
15. C. K. Chan and L. Lin, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/11/1/003 11, 13 (1990).
16. M. E. Cates and S. T. Milner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1856 62, 1856 (1989).
17. G. Martin, Curr. Opin. Solid State Mater. Sci. COSSFX 1359-0286 10.1016/S1359-0286(98)80024-7 3, 552 (1998).
18. P. Bellon and R. S. Averback, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1819 74, 1819 (1995).
19. K. Binder and H. Muller-Krumbhaar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.9.2328 9, 2328 (1974).
20. V. A. Shneidman, K. A. Jackson, and K. M. Beatty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.3579 59, 3579 (1999).
21. V. A. Shneidman, K. A. Jackson, and K. M. Beatty, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479985 111, 6932 (1999).
22. D. Stauffer, A. Coniglio, and D. W. Heermann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.1299 49, 1299 (1982).
23. F. F. Abraham, Homogeneous Nucleation Theory (Academic, New York, 1974).
24. M. Acharyya and D. Stauffer, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050480 5, 571 (1998).
25. J. L. Lebowitz, J. Marro, and M. H. Kalos, Acta Metall. AMETAR 0001-6160 10.1016/0001-6160(82)90069-4 30, 297 (1982).
26. K. Brendel, G. T. Barkema, and H. van Beijeren, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.031601 71, 031601 (2005).
27. S. Wonczak, R. Strey, and D. Stauffer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.482003 113, 1976 (2000).
28. R. P. Sear, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp056377e 110, 4985 (2006).
29. F. den Hollander, E. Olivieri, and E. Scoppola, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.533193 41, 1424 (2000).
30. R. Becker and W. Döring, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.19354160806 24, 719 (1935).
31. C. S. Kiang, D. Stauffer, G. H. Walker, O. P. Puri, J. D. Wise, and E. M. Patterson, J. Atmos. Sci. 28, 1222 (1971).
32. J. Feder, K. C. Russell, J. Lothe, and G. M. Pound, Adv. Phys. ADPHAH 0001-8732 10.1080/00018736600101264 15, 111 (1966).
33. D. Reguera and J. M. Rubi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1614777 119, 9888 (2003).
34. A. C. Pan and D. Chandler, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0471249 108, 19681 (2004).
35. B. Peters and B. L. Trout, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2234477 125, 054108 (2006).
36. P. I. Hurtado, J. Marro, and P. L. Garrido, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.021101 70, 021101 (2004).
37. P. I. Hurtado, J. Marro, and P. L. Garrido, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.050101 74, 050101 (2006).
38. M. Heymann and E. Vanden-Eijnden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.140601 100, 140601 (2008).
39. S. Katz, J. L. Lebowitz, and H. Spohn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.1655 28, 1655 (1983).
40. S. Katz, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01018556 34, 497 (1984).
41. E. Levine, Y. Kafri, and D. Mukamel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.026105 64, 026105 (2001).
42. R. Dickman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.2588 38, 2588 (1988).
43. F. Q. Potiguar and R. Dickman, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103-97332006000500028 36, 736 (2006).
44. G. Szabo, A. Szolnoki, T. Antal, and I. Borsos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.5275 55, 5275 (1997).
45. C. Valeriani, R. J. Allen, M. J. Morelli, D. Frenkel, and P. R. ten Wolde, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2767625 127, 114109 (2007).
46. G. M. Torrie and J. P. Valleau, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(74)80109-0 28, 578 (1974).
47. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987).
48. C. Dellago, P. G. Bolhuis, and P. L. Geissler, Adv. Chem. Phys. ADCPAA 0065-2385 10.1002/0471231509.ch1 123, 1 (2002).
49. T. S. van Erp, D. Moroni, and P. G. Bolhuis, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1562614 118, 7762 (2003).
50. A. K. Faradjian and R. Elber, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1738640 120, 10880 (2004).
51. W. E, W. Ren, and E. Vanden-Eijnden, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.052301 66, 052301 (2002).
52. M. Venturoli, E. Vanden-Eijnden, and G. Ciccotti, " Kinetics of phase transitions in two dimensional Ising models studied with the string method.," J. Math. Chem. (in press).
53. A. Warmflash, P. Bhimalapuram, and A. R. Dinner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2784118 127, 154112 (2007).
54. K. Kawasaki, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.145.224 145, 224 (1966).
55. L. Onsager, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.65.117 65, 117 (1944).
56. E. N. M. Cirillo, G. Gonnella, and G. P. Saracco, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026139 72, 026139 (2005).
57. T. S. van Erp and P. G. Bolhuis, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.11.003 205, 157 (2005).
58. K. van Meel, private communication (February, 2008).
59. G. M. Clarke and D. Cooke, A Basic Course in Statistics (Arnold, London, 2004).
60. A. Ma and A. R. Dinner, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp045546c 109, 6769 (2005).
61. B. Peters, G. T. Beckham, and B. L. Trout, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2748396 127, 034109 (2007).
62. R. J. Allen, C. Valeriani, and S. Tǎnase-Nicola, " Nucleation in a sheared Ising model: Effects of external field.," Progress in Theoretical Physics (in press).
63. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, 2nd ed. (Cambridge University Press, Cambridge, England, 2005).