Diffusive domain coarsening: Early time dynamics and finite-size effects

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

Volumn 84, Issue 2, 2011, Pages

  Majumder, Suman ^a   Das, Subir K ^a  

^a JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL TEMPERATURES; DE-MIXING; DIFFUSIVE DYNAMICS; FINITE SIZE EFFECT; FINITE-SIZE SCALING METHOD; GROWTH LAWS; KAWASAKI; LENGTH SCALE; MONTE CARLO SIMULATION; SIMULATION RESULT; SIZE EFFECTS; SPATIAL DIMENSION; STANDARD METHOD; SYSTEM SIZE; TIME DYNAMIC;

COMPUTER SIMULATION; ISING MODEL; MONTE CARLO METHODS;

PHASE SEPARATION;

EID: 80051650480     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.021110     Document Type: Article

References (58)

1. A. J. Bray, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730110117433 51, 481 (2002). (Pubitemid 34586322)
2. K. Binder, in Phase Transformation of Materials, edited by, R. W. Cahn, P. Haasen, and, E. J. Kramer, Mater. Sci. Technol., Vol. 5 (VCH, Weinheim, 1991), p. 405.
3. Kinetics of Phase Transitions, edited by, S. Puri, and, V. Wadhawan, (CRC, Boca Raton, 2009).
4. I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(61)90054-3 19, 35 (1961).
5. E. D. Siggia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.595 20, 595 (1979).
6. H. Furukawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.1103 31, 1103 (1985);
7. H. Furukawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.2288 36, 2288 (1987).
8. M. E. Fisher in Critical Phenomena, edited by, M. S. Green, (Academic, London, 1971), p. 1.
9. Finite Size Scaling and the Numerical Simulations of Statistical Systems, edited by, V. Privman, (World Scientific, Singapore, 1990).
10. D. W. Heermann, L. Yixue, and K. Binder, Physica A PHYADX 0378-4371 10.1016/0378-4371(96)00110-0 230, 132 (1996).
11. J. Viñals and D. Jasnow, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.9582 37, 9582 (1988).
12. S. Majumder and S. K. Das, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.050102 81, 050102 (R) (2010).
13. K. Binder, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.15.4425 15, 4425 (1977).
14. K. Binder and H. L. Frisch, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01314015 84, 403 (1991).
15. K. Kawasaki, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, New York, 1972), Vol. 2, p. 443.
16. R. A. L. Jones, Soft Condensed Matter (Oxford University Press, Oxford, 2008).
17. D. P. Landau and K. Binder, A Guide to Monte Carlo Simula-tions in Statistical Physics (Cambridge University Press, Cambridge, 2005).
18. D. Frankel and B. Smit, Understanding Molecular Simulations: From Algorithms to Applications (Academic, San Diego, 2002).
19. T. M. Rogers and R. C. Desai, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.11956 39, 11956 (1989).
20. J. F. Marko and G. T. Barkema, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.2522 52, 2522 (1995).
21. D. A. Huse, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.7845 34, 7845 (1986).
22. J. G. Amar, F. E. Sullivan, and R. D. Mountain, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.196 37, 196 (1988).
23. C. Roland and M. Grant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2657 60, 2657 (1988).
24. C. Roland and M. Grant, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.11971 39, 11971 (1989).
25. S. K. Das and S. Puri, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65. 026141 65, 026141 (2002). (Pubitemid 40619470)
26. A. Milchev, K. Binder, and D. W. Heermann, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01726202 63, 521 (1986).
27. C. Roland and M. Grant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.551 63, 551 (1989).
28. M. Rao, M. H. Kalos, J. L. Lebowitz, and J. Marro, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.13.4328 13, 4328 (1976).
29. G. S. Grest and D. J. Srolovitz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.5150 30, 5150 (1984).
30. G. F. Mazenko, O. T. Valls, and F. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.31.4453 31, 4453 (1985);
31. G. F. Mazenko, O. T. Valls, and F. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.32.5807 32, 5807 (1985).
32. A. Shinozaki and Y. Oono, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.48.2622 48, 2622 (1993).
33. M. Laradji, S. Toxavaerd, and O. G. Mousitsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2253 77, 2253 (1996).
34. A. K. Thakre, W. K. den Otter, and W. J. Briels, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.011503 77, 011503 (2008). (Pubitemid 351177420)
35. H. Kabrede and R. Hentschke, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.06.054 361, 485 (2006). (Pubitemid 43121179)
36. S. Ahmad, S. K. Das, and S. Puri, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82.040107 82, 040107 (2010).
37. S. K. Das, S. Puri, J. Horbach, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.061603 72, 061603 (2005); (Pubitemid 43273054)
38. S. K. Das, S. Puri, J. Horbach, and K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016107 96, 016107 (2006); (Pubitemid 43248375)
39. S. K. Das, S. Puri, J. Horbach, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.031604 73, 031604 (2006).
40. S. J. Mitchell and D. P. Landau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.025701 97, 025701 (2006). (Pubitemid 44036256)
41. K. Bucior, L. Yelash, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.051602 77, 051602 (2008). (Pubitemid 351706246)
42. L. Yelash, P. Virnau, W. Paul, K. Binder, and M. Müller, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.031801 78, 031801 (2008).
43. K. Bucior, L. Yelash, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.031604 79, 031604 (2009).
44. S. K. Das, J. Horbach, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.021602 79, 021602 (2009);
45. S. K. Das, J. Horbach, and K. Binder, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984909018989 23, 549 (2009).
46. M. J. A. Hore and M. Laradji, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3281689 132, 024908 (2010).
47. K. Binder, S. Puri, S. K. Das, and J. Horbach, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-010-9924-9 138, 51 (2010).
48. A. Sicilia, J. J. Arenzon, A. J. Bray, and L. F. Cugliandolo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.061116 76, 061116 (2007). (Pubitemid 350277725)
49. A. Sicilia, Y. Sarrazin, J. J. Arenzon, A. J. Bray, and L. F. Cugliandolo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.031121 80, 031121 (2009).
50. A. J. Bray and S. Puri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.2670 67, 2670 (1991).
51. Y. Oono and S. Puri, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984988000606 2, 861 (1988).
52. S. K. Das, M. E. Fisher, J. V. Sengers, J. Horbach and K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.025702 97, 025702 (2006); (Pubitemid 44050348)
53. S. Roy and S. K. Das, EPL 0295-5075 10.1209/0295-5075/94/36001 94, 36001 (2001).
54. S. Puri and Y. Oono, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38. 1542 38, 1542 (1988).
55. R. C. Tolman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1747247 17, 333 (1949).
56. D. Winter, P. Virnau, and K. Binder, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/46/464118 21, 464118 (2009).
57. B. J. Block, S. K. Das, M. Ottel, P. Virnau, and K. Binder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3493464 133, 154702 (2010).
58. M. P. A. Fisher and M. Wortis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.29.6252 29, 6252 (1984).