Polymer adsorption on a fractal substrate: Numerical study

Journal of Chemical Physics

Volumn 136, Issue 10, 2012, Pages

  Blavatska, Viktoria ^a,b   Janke, Wolfhard ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION ENERGIES; ADSORPTION TRANSITIONS; CONFORMATIONAL PROPERTIES; CRITICAL CONCENTRATION; DISORDERED LATTICES; EUCLIDEAN; FLEXIBLE POLYMERS; FRACTAL SUBSTRATES; NUMERICAL STUDIES; PERCOLATION CLUSTERS; POLYMER ADSORPTION; POLYMER CHAINS; PRUNED-ENRICHED ROSENBLUTH METHODS; SIZE AND SHAPE; SPATIAL CONFORMATION; TRANSITION POINT;

FRACTAL DIMENSION; PERCOLATION (COMPUTER STORAGE); POLYMERS;

ADSORPTION;

POLYMER;

ADSORPTION; ARTICLE; CHEMICAL MODEL; CHEMICAL STRUCTURE; CHEMISTRY; FRACTAL ANALYSIS; PARTICLE SIZE; SURFACE PROPERTY;

ADSORPTION; FRACTALS; MODELS, CHEMICAL; MOLECULAR STRUCTURE; PARTICLE SIZE; POLYMERS; SURFACE PROPERTIES;

EID: 84858966364     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3691102     Document Type: Article

References (67)

1. A. K. Dolan and S. F. Edwards, Proc. R. Soc. London 337, 509 (1974); 10.1098/rspa.1974.0063
2. G. J. Fleer, J. M. Scheutjens, and M. A. Cohen Stuart, Colloids Surf. 31, 1 (1988). 10.1016/0166-6622(88)80178-1
3. A. F. Xie and S. Granick, Nature Mater. 1, 129 (2002). 10.1038/nmat738
4. B. Maier and J. O. Rädler, Phys. Rev. Lett. 82, 1911 (1999). 10.1103/PhysRevLett.82.1911
5. E. Eisenriegler, Polymers near Surfaces (World Scientific, Singapore, 1993).
6. H. W. Diehl and S. Dietrich, Phys. Rev. B 24, 2878 (1981). 10.1103/PhysRevB.24.2878
7. E. Eisenriegler, K. Kremer, and K. Binder, J. Chem. Phys. 77, 6296 (1982). 10.1063/1.443835
8. P. G. de Gennes, Macromolecules 14, 1637 (1981); 10.1021/ma50007a007
9. P. G. de Gennes and P. Pincus, J. Phys. (Paris), Lett. 44, L241 (1983). 10.1051/jphyslet:01983004407024100
10. H. W. Diehl and M. Shpot, Phys. Rev. Lett. 73, 3431 (1994); 10.1103/PhysRevLett.73.3431
11. H. W. Diehl and M. Shpot, Nucl. Phys. B 528, 595 (1998). 10.1016/S0550-3213(98)00489-1
12. Z. Usatenko, J. Stat. Mech. 2006, P03009. 10.1088/1742-5468/2006/03/ P03009
13. H. Meirovitch and S. Livne, J. Chem. Phys. 88, 4507 (1988). 10.1063/1.453758
14. R. Hegger and P. Grassberger, J. Phys. A 27, 4069 (1994). 10.1088/0305-4470/27/12/015
15. R. Descas, J.-U. Sommer, and A. Blumen, J. Chem. Phys. 120, 8831 (2004). 10.1063/1.1691393
16. P. Grassberger, J. Phys. A 38, 323 (2005). 10.1088/0305-4470/38/2/003 (Pubitemid 40101662)
17. M. Bachmann and W. Janke, Phys. Rev. Lett. 95, 058102 (2005); 10.1103/PhysRevLett.95.058102 (Pubitemid 41506181)
18. M. Bachmann and W. Janke, Phys. Rev. E 73, 041802 (2006). 10.1103/PhysRevE.73.041802
19. M. Möddel, M. Bachmann, and W. Janke, J. Phys. Chem. B 113, 3314 (2009); 10.1021/jp808124v
20. M. Möddel, M. Bachmann, and W. Janke, Phys. Chem. Chem. Phys. 12, 11548 (2010); 10.1039/C002862B
21. M. Möddel, M. Bachmann, and W. Janke, Macromolecules 44, 9013 (2011). 10.1021/ma201307c
22. A. Baumgärtner and M. Muthukumar, J. Chem. Phys. 94, 4062 (1991). 10.1063/1.460656
23. M. Kawaguchi and T. Arai, Macromolecules 24, 889 (1991). 10.1021/ma00004a013
24. A. C. Balasz, K. Huang, and P. McElwain, Macromolecules 24, 714 (1991). 10.1021/ma00003a014
25. A. Baumgärtner and M. Muthukumar, J. Chem. Phys. 94, 4062 (1991). 10.1063/1.460656
26. G. Huber and T. A. Vilgis, Eur. Phys. J. B 3, 217 (1998). 10.1007/s100510050306
27. K. Sumithra and A. Baumgaertner, J. Chem. Phys. 109, 1540 (1998). 10.1063/1.476705 (Pubitemid 128678573)
28. M. S. Moghaddam and S. G. Whittington, J. Phys. A 35, 33 (2002); 10.1088/0305-4470/35/1/303 (Pubitemid 37023355)
29. M. S. Moghaddam, J. Phys. A 36, 939 (2003). 10.1088/0305-4470/36/4/306
30. Z. Usatenko and A. Ciach, Phys. Rev. E 70, 051801 (2004); 10.1103/PhysRevE.70.051801 (Pubitemid 40086513)
31. Z. Usatenko and J.-U. Sommer, J. Stat. Mech.: Theory Exp. 2007, P10006. 10.1088/1742-5468/2007/10/P10006
32. J. Zierbarth, Y. Wang, A. Polotsky, and M. Luo, Macromolecules 40, 3498 (2007). 10.1021/ma070235w (Pubitemid 46750656)
33. Y. Kim, J. Phys. A 20, 1293 (1987). 10.1088/0305-4470/20/5/039
34. S. B. Lee, H. Nakanishi, and Y. Kim, Phys. Rev. B 39, 9561 (1989); 10.1103/PhysRevB.39.9561
35. K. Y. Woo and S. B. Lee, Phys. Rev. A 44, 999 (1991); 10.1103/PhysRevA.44.999
36. H. Nakanishi and J. Moon, Physica A 191, 309 (1992). 10.1016/0378- 4371(92)90543-Y
37. R. M. Ziff, Phys. Rev. Lett. 72, 1942 (1994). 10.1103/PhysRevLett.72.1942
38. D. Avnir, D. Farin, and P. Pfeifer, Nature (London) 308, 261 (1984); 10.1038/308261a0
39. D. Avnir, D. Farin, and P. Pfeifer, J. Chem. Phys. 79, 3566 (1983). 10.1063/1.446211
40. E. Bouchaud and J. Vannimenus, J. Phys. (France) 50, 2931 (1989). 10.1051/jphys:0198900500190293100
41. D. MacDonald, D. L. Hunter, K. Kelly, and J. Naeem, J. Phys. A 33, 5973 (2006). 10.1088/0305-4470/33/34/303
42. S. Elesovi-Hadi, I. Živi, and S. Miloevi, J. Phys. A 36, 1213 (2003). 10.1088/0305-4470/36/5/303
43. V. Bubanja, M. Kneevic, and J. Vannimenus, J. Stat. Phys. 71, 7 (1993). 10.1007/BF01048085
44. S. Kumar, Y. Singh, and D. Dhar, J. Phys. A 26, 4835 (1993). 10.1088/0305-4470/26/19/017
45. V. Miljkovi, S. Miloevi, and I. Živi, Phys. Rev. E 52, 6314 (1995). 10.1103/PhysRevE.52.6314
46. T. Auth and G. Gompper, Phys. Rev. E 68, 051801 (2003); 10.1103/PhysRevE.68.051801
47. T. Auth and G. Gompper, Phys. Rev. E 72, 031904 (2005). 10.1103/PhysRevE.72.031904 (Pubitemid 41778110)
48. S. Karalus, W. Janke, and M. Bachmann, Phys. Rev. E 84, 031803 (2011). 10.1103/PhysRevE.84.031803
49. S. Havlin and D. Ben Abraham, Adv. Phys. 36, 155 (1987). 10.1080/00018738700101072
50. J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976). 10.1103/PhysRevB.14.3438
51. F. Family, J. Phys. A 15, L583 (1982). 10.1088/0305-4470/15/11/003
52. P. Grassberger, Phys. Rev. E 56, 3682 (1997). 10.1103/PhysRevE.56.3682
53. H.-P. Hsu, V. Mehra, W. Nadler, and P. Grassberger, J. Chem. Phys. 118, 444 (2007). 10.1063/1.1522710
54. M. Bachmann and W. Janke, Phys. Rev. Lett. 91, 208105 (2003); 10.1103/PhysRevLett.91.208105
55. M. Bachmann and W. Janke, J. Chem. Phys. 120, 6779 (2004). 10.1063/1.1651055
56. B. Nienhuis, Phys. Rev. Lett. 49, 1062 (1982). 10.1103/PhysRevLett.49. 1062
57. V. Blavatska and W. Janke, Europhys. Lett. 82, 66006 (2008); 10.1209/0295-5075/82/66006
58. V. Blavatska and W. Janke, J. Phys. A 42, 015001 (2009). 10.1088/1751-8113/42/1/015001
59. K. Solc and W. H. Stockmayer, J. Chem. Phys. 54, 2756 (1971); 10.1063/1.1675241
60. K. Solc, J. Chem. Phys. 55, 335 (1971). 10.1063/1.1675527
61. J. Rudnick and G. Gaspari, J. Phys. A 19, L191 (1986); 10.1088/0305-4470/19/4/004
62. G. Gaspari, J. Rudnick, and A. Beldjenna, J. Phys. A 20, 3393 (1987). 10.1088/0305-4470/20/11/041
63. J. A. Aronovitz and D. R. Nelson, J. Phys. (France) 47, 1445 (1986). 10.1051/jphys:019860047090144500
64. M. Bishop and C. J. Saltiel, J. Chem. Phys. 88, 6594 (1988). 10.1063/1.454446
65. O. Jagodzinski, E. Eisenriegler, and K. Kremer, J. Phys. I France 2, 2243 (1992). 10.1051/jp1:1992279
66. S. Caracciolo, A. J. Guttmann, I. Jensen, A. Pelissetto, A. N. Rogers, and A. Sokal, J. Stat. Phys. 120, 1037 (2005). 10.1007/s10955-005-7004-3 (Pubitemid 41655902)
67. V. Blavatska and W. Janke, J. Chem. Phys. 133, 184903 (2010). 10.1063/1.3501368