Influence of trap location on the efficiency of trapping in dendrimers and regular hyperbranched polymers

Journal of Chemical Physics

Volumn 138, Issue 9, 2013, Pages

  Lin, Yuan ^a   Zhang, Zhongzhi ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM SOLUTIONS; FUNDAMENTAL MECHANISMS; HYPERBRANCHED POLYMERS; MEAN FIRST-PASSAGE TIME; NUMERICAL SOLUTION; TOPOLOGICAL STRUCTURE; TRAPPING EFFICIENCIES; UNIFORM DISTRIBUTION;

EFFICIENCY; FORESTRY; FRACTALS;

DENDRIMERS;

DENDRIMER; POLYMER;

ARTICLE; CHEMICAL STRUCTURE; CHEMISTRY;

DENDRIMERS; MODELS, MOLECULAR; POLYMERS;

EID: 84874896493     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4793309     Document Type: Article

References (76)

1. S. Hwang, D.-S. Lee, and B. Kahng, Phys. Rev. Lett. 109, 088701 (2012). 10.1103/PhysRevLett.109.088701
2. S. Hwang, D.-S. Lee, and B. Kahng, Phys. Rev. E 85, 046110 (2012). 10.1103/PhysRevE.85.046110
3. O. Bénichou, M. Coppey, M. Moreau, P.-H. Suet, and R. Voituriez, Phys. Rev. Lett. 94, 198101 (2005). 10.1103/PhysRevLett.94.198101
4. O. Bénichou, C. Loverdo, M. Moreau, and R. Voituriez, Rev. Mod. Phys. 83, 81 (2011). 10.1103/RevModPhys.83.81
5. E. W. Montroll, J. Math. Phys. 10, 753 (1969). 10.1063/1.1664902
6. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, 2001).
7. J. D. Noh and H. Rieger, Phys. Rev. Lett. 92, 118701 (2004). 10.1103/PhysRevLett.92.118701
8. O. Bénichou, M. Coppey, and M. Moreau, Phys. Rev. Lett. 95, 260601 (2005). 10.1103/PhysRevLett.95.260601
9. S. Condamin, O. Bénichou, and J. Klafter, Phys. Rev. Lett. 98, 250602 (2007). 10.1103/PhysRevLett.98.250602
10. S. Condamin, O. Bénichou, V. Tejedor, R. Voituriez, and J. Klafter, Nature (London) 450, 77 (2007). 10.1038/nature06201
11. A. Bar-Haim and J. Klafter, J. Chem. Phys. 109, 5187 (1998). 10.1063/1.477135
12. R. A. Garza-López and J. J. Kozak, Chem. Phys. Lett. 406, 38 (2005). 10.1016/j.cplett.2005.02.078
13. R. A. Garza-López, A. Linares, A. Yoo, G. Evans, and J. J. Kozak, Chem. Phys. Lett. 421, 287 (2006). 10.1016/j.cplett.2006.01.086
14. A. G. Cantú and E. Abad, Phys. Rev. E 77, 031121 (2008). 10.1103/PhysRevE.77.031121
15. B. Kahng and S. Redner, J. Phys. A 22, 887 (1989). 10.1088/0305-4470/22/ 7/019
16. E. Agliari, Phys. Rev. E 77, 011128 (2008). 10.1103/PhysRevE.77.011128
17. C. P. Haynes and A. P. Roberts, Phys. Rev. E 78, 041111 (2008). 10.1103/PhysRevE.78.041111
18. Z. Z. Zhang, Y. Lin, S. G. Zhou, B. Wu, and J. H. Guan, New J. Phys. 11, 103043 (2009). 10.1088/1367-2630/11/10/103043
19. Y. Lin, B. Wu, and Z. Z. Zhang, Phys. Rev. E 82, 031140 (2010). 10.1103/PhysRevE.82.031140
20. Z. Z. Zhang, B. Wu, and G. R. Chen, EPL 96, 40009 (2011). 10.1209/0295-5075/96/40009
21. Z. Z. Zhang, Y. Qi, S. G. Zhou, S. Y. Gao, and J. H. Guan, Phys. Rev. E 81, 016114 (2010). 10.1103/PhysRevE.81.016114
22. Z. Z. Zhang, X. T. Li, Y. Lin, and G. R. Chen, J. Stat. Mech.: Theory Exp. 2011, P08013. 10.1088/1742-5468/2011/08/P08013
23. J. J. Kozak and V. Balakrishnan, Phys. Rev. E 65, 021105 (2002). 10.1103/PhysRevE.65.021105
24. J. J. Kozak and V. Balakrishnan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2379 (2002). 10.1142/S0218127402006138
25. J. L. Bentz, J. W. Turner, and J. J. Kozak, Phys. Rev. E 82, 011137 (2010). 10.1103/PhysRevE.82.011137
26. Z. Z. Zhang, W. L. Xie, S. G. Zhou, S. Y. Gao, and J. H. Guan, EPL 88, 10001 (2009). 10.1209/0295-5075/88/10001
27. Z. Z. Zhang, W. L. Xie, S. G. Zhou, M. Li, and J. H. Guan, Phys. Rev. E 80, 061111 (2009). 10.1103/PhysRevE.80.061111
28. V. Tejedor, O. Bénichou, and R. Voituriez, Phys. Rev. E 80, 065104(R) (2009). 10.1103/PhysRevE.80.065104
29. Z. Z. Zhang, Y. H. Yang, and S. Y. Gao, Eur. Phys. J. B 84, 331 (2011). 10.1140/epjb/e2011-20564-4
30. A. Kittas, S. Carmi, S. Havlin, and P. Argyrakis, EPL 84, 40008 (2008). 10.1209/0295-5075/84/40008
31. Z. Z. Zhang, Y. Qi, S. G. Zhou, W. L. Xie, and J. H. Guan, Phys. Rev. E 79, 021127 (2009). 10.1103/PhysRevE.79.021127
32. Z. Z. Zhang, S. G. Zhou, W. L. Xie, L. C. Chen, Y. Lin, and J. H. Guan, Phys. Rev. E 79, 061113 (2009). 10.1103/PhysRevE.79.061113
33. E. Agliari and R. Burioni, Phys. Rev. E 80, 031125 (2009). 10.1103/PhysRevE.80.031125
34. E. Agliari, R. Burioni, and A. Manzotti, Phys. Rev. E 82, 011118 (2010). 10.1103/PhysRevE.82.011118
35. B. Meyer, E. Agliari, O. Bénichou, and R. Voituriez, Phys. Rev. E 85, 026113 (2012). 10.1103/PhysRevE.85.026113
36. Y. H. Yang and Z. Z. Zhang, J. Chem. Phys. 138, 034101 (2013). 10.1063/1.4774269
37. Z. Z. Zhang, Y. Lin, S. Y. Gao, S. G. Zhou, J. H. Guan, and M. Li, Phys. Rev. E 80, 051120 (2009). 10.1103/PhysRevE.80.051120
38. Z. Z. Zhang, Y. H. Yang, and Y. Lin, Phys. Rev. E 85, 011106 (2012). 10.1103/PhysRevE.85.011106
39. A. A. Gurtovenko and A. Blumen, Adv. Polym. Sci. 182, 171 (2005). 10.1007/b135561
40. A. Bar-Haim, J. Klafter, and R. Kopelman, J. Am. Chem. Soc. 119, 6197 (1997). 10.1021/ja970972f
41. A. Bar-Haim and J. Klafter, J. Phys. Chem. B 102, 1662 (1998). 10.1021/jp980174r
42. J. L. Bentz, F. N. Hosseini, and J. J. Kozak, Chem. Phys. Lett. 370, 319 (2003). 10.1016/S0009-2614(03)00108-8
43. J. L. Bentz and J. J. Kozak, J. Lumin. 121, 62 (2006). 10.1016/j.jlumin.2005.10.004
44. E. Agliari, Physica A 390, 1853 (2011). 10.1016/j.physa.2011.01.021
45. I. M. Sokolov, J. Mai, and A. Blumen, Phys. Rev. Lett. 79, 857 (1997). 10.1103/PhysRevLett.79.857
46. A. Blumen and G. Zumofen, J. Chem. Phys. 75, 892 (1981). 10.1063/1.442086
47. C. Cai and Z. Y. Chen, Macromolecules 30, 5104 (1997). 10.1021/ma970059z
48. Z. Y. Chen and C. Cai, Macromolecules 32, 5423 (1999). 10.1021/ma990018y
49. T. Vicsek, J. Phys. A 16, L647 (1983). 10.1088/0305-4470/16/17/003
50. A. Blumen, A. Jurjiu, Th. Koslowski, and Ch. von Ferber, Phys. Rev. E 67, 061103 (2003). 10.1103/PhysRevE.67.061103
51. A. Blumen, Ch. von Ferber, A. Jurjiu, and Th. Koslowski, Macromolecules 37, 638 (2004). 10.1021/ma034553g
52. A. Sunder, R. Hanselmann, H. Frey, and R. Mülhaupt, Macromolecules 32, 4240 (1999). 10.1021/ma990090w
53. A. Sunder, J. Heinemann, and H. Frey, Chem.-Eur. J. 6, 2499 (2000). 10.1002/1521-3765(20000717)6:14<2499::AID-CHEM2499>3.0.CO;2-M
54. F. Ganazzoli, R. La Ferla, and G. Raffaini, Macromolecules 34, 4222 (2001). 10.1021/ma001613z
55. P. Biswas, R. Kant, and A. Blumen, J. Chem. Phys. 114, 2430 (2001). 10.1063/1.1334660
56. D. J. Heijs, V. A. Malyshev, and J. Knoester, J. Chem. Phys. 121, 4884 (2004). 10.1063/1.1778136
57. O. Mülken, V. Bierbaum, and A. Blumen, J. Chem. Phys. 124, 124905 (2006). 10.1063/1.2179427
58. O. Mülken and A. Blumen, Phys. Rep. 502, 37 (2011). 10.1016/j.physrep.2011.01.002
59. R. A. Guyer, Phys. Rev. A 30, 1112 (1984). 10.1103/PhysRevA.30.1112
60. C. S. Jayanthi, S. Y. Wu, and J. Cocks, Phys. Rev. Lett. 69, 1955 (1992). 10.1103/PhysRevLett.69.1955
61. C. S. Jayanthi and S. Y. Wu, Phys. Rev. B 50, 897 (1994). 10.1103/PhysRevB.50.897
62. C. Stamarel, Ch. von Ferber, and A. Blumen, J. Chem. Phys. 123, 034907 (2005). 10.1063/1.1942490
63. Z. Z. Zhang, S. G. Zhou, L. C. Chen, M. Yin, and J. H. Guan, J. Phys. A 41, 485102 (2008). 10.1088/1751-8113/41/48/485102
64. A. Volta, J. Phys. A 42, 225003 (2009). 10.1088/1751-8113/42/22/225003
65. Z. Z. Zhang, B. Wu, H. J. Zhang, S. G. Zhou, J. H. Guan, and Z. G. Wang, Phys. Rev. E 81, 031118 (2010). 10.1103/PhysRevE.81.031118
66. A. Jurjiu, A. Volta, and T. Beu, Phys. Rev. E 84, 011801 (2011). 10.1103/PhysRevE.84.011801
67. B. Wu, Y. Lin, Z. Z. Zhang, and G. R. Chen, J. Chem. Phys. 137, 044903 (2012). 10.1063/1.4737635
68. S. Condamin, O. Bénichou, and M. Moreau, Phys. Rev. E 75, 021111 (2007). 10.1103/PhysRevE.75.021111
69. V. Tejedor, O. Bénichou, and R. Voituriez, Phys. Rev. E 83, 066102 (2011). 10.1103/PhysRevE.83.066102
70. Y. Lin, A. Julaiti, and Z. Z. Zhang, J. Chem. Phys. 137, 124104 (2012). 10.1063/1.4754735
71. A. K. Chandra, P. Raghavan, W. L. Ruzzo, and R. Smolensky, in Proceedings of the 21st Annual ACM Symposium on the Theory of Computing (ACM, New York, 1989), pp. 574-586.
72. P. Tetali, J. Theor. Probab. 4, 101 (1991). 10.1007/BF01046996
73. P. G. Doyle and J. L. Snell, Random Walks and Electric Networks (The Mathematical Association of America, Oberlin, OH, 1984); e-print arXiv:math.PR/0001057.
74. D. J. Klein and M. Randić, J. Math. Chem. 12, 81 (1993). 10.1007/BF01164627
75. H. Wiener, J. Am. Chem. Soc. 69, 17 (1947). 10.1021/ja01193a005
76. A. A. Dobrynin, R. Entringer, and I. Gutman, Acta Appl. Math. 66, 211 (2001). 10.1023/A:1010767517079