Emergence of heterogeneous structures in chemical reaction-diffusion networks

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

Volumn 82, Issue 4, 2010, Pages

  Xuan, Qi ^a   Du, Fang ^b   Wu, Tie Jun ^b   Chen, Guanrong ^c  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^b ZHEJIANG UNIVERSITY   (China)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL SUBSTANCE; COMPLEX CHEMICAL REACTIONS; CONTROL MECHANISM; ENVIRONMENTAL CONDITIONS; HETEROGENEOUS STRUCTURES; MACROSCOPIC MEASUREMENTS; REACTION DIFFUSION; REACTION-DIFFUSION PROCESS; REWIRING PROCESS; SMALL WORLDS; TOPOLOGICAL RULES; UNDERLYING NETWORKS;

CHEMICAL REACTIONS; DIFFUSION IN LIQUIDS; HETEROGENEOUS NETWORKS; TOPOLOGY;

ASTATINE;

EID: 78651323151     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.046116     Document Type: Article

References (40)

1. J. C. Meyer, C. O. Girit, M. F. Crommie, and A. Zettl, Nature (London) 454, 319 (2008). 10.1038/nature07094
2. J. Y. Wakano, M. A. Nowak, and C. Hauert, Proc. Natl. Acad. Sci. U.S.A. 106, 7910 (2009). 10.1073/pnas.0812644106
3. C. Cattuto, A. Barrat, A. Baldassarri, G. Schehr, and V. Loreto, Proc. Natl. Acad. Sci. U.S.A. 106, 10511 (2009).
4. P. Wang, M. C. González, C. A. Hidalgo, and A.-L. Barabási, Science 324, 1071 (2009). 10.1126/science.1167053
5. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952). 10.1098/rstb.1952.0012
6. B. A. Grzybowski, Chemistry in Motion: Reaction-Diffusion Systems for Micro- and Nanotechnology (Wiley, Chichester, West Sussex, 2009).
7. R. S. Cantrell and C. Cosner, Spatial Ecology via Reaction-Diffusion Equations (Wiley, Chichester, West Sussex, 2003).
8. V. Colizza, A. Barrat, M. Barthélemy, and A. Vespignani, Proc. Natl. Acad. Sci. U.S.A. 103, 2015 (2006). 10.1073/pnas.0510525103
9. D. Dab, J.-P. Boon, and Y.-X. Li, Phys. Rev. Lett. 66, 2535 (1991). 10.1103/PhysRevLett.66.2535
10. J. P. Boon, D. Dab, R. Kapral, and A. Lawniczak, Phys. Rep. 273, 55 (1996). 10.1016/0370-1573(95)00080-1
11. L. K. Gallos and P. Argyrakis, Phys. Rev. Lett. 92, 138301 (2004). 10.1103/PhysRevLett.92.138301
12. S. Weber and M. Porto, Phys. Rev. E 74, 046108 (2006). 10.1103/PhysRevE.74.046108
13. V. Colizza R. Pastor-Satorras, and A. Vespignani, Nat. Phys. 3, 276 (2007). 10.1038/nphys560
14. A. Baronchelli, M. Catanzaro, and R. Pastor-Satorras, Phys. Rev. E 78, 016111 (2008). 10.1103/PhysRevE.78.016111
15. A.-L. Barabási and Z. N. Oltvai, Nat. Rev. Genet. 5, 101 (2004). 10.1038/nrg1272
16. Q. Xuan, F. Du, and T.-J. Wu, Chaos 19, 023101 (2009). 10.1063/1.3116163
17. Z.-Q. Jiang, W.-X. Zhou, B. Xu, and W.-K. Yuan, AIChE J. 53, 423 (2007). 10.1002/aic.11071
18. A.-L. Barabási and R. Albert, Science 286, 509 (1999). 10.1126/science.286.5439.509
19. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47
20. Q. Xuan, Y. Li, and T.-J. Wu, Phys. Rev. E 73, 036105 (2006). 10.1103/PhysRevE.73.036105
21. S. Fortunato, A. Flammini, and F. Menczer, Phys. Rev. Lett. 96, 218701 (2006). 10.1103/PhysRevLett.96.218701
22. X. Li and G. Chen, Physica A 328, 274 (2003). 10.1016/S0378-4371(03) 00604-6
23. Q. Xuan, Y. Li, and T.-J. Wu, Physica A 378, 561 (2007). 10.1016/j.physa.2006.11.070
24. G. E. Dullerud and R. D'Andrea, IEEE Trans. Autom. Control 49, 2113 (2004). 10.1109/TAC.2004.838499
25. W. Ehrfeld, V. Hessel, and H. Löwe, Microreactors: New Technology for Modern Chemistry (Wiley, Chichester, West Sussex, 2000).
26. K. F. Jensen, Chem. Eng. Sci. 56, 293 (2001). 10.1016/S0009-2509(00) 00230-X
27. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. 80, 1275 (2008). 10.1103/RevModPhys.80.1275
28. R. Olfati-Saber, IEEE Trans. Autom. Control 51, 401 (2006). 10.1109/TAC.2005.864190
29. Q. Xuan, Y.-J. Li, and T.-J. Wu, Chin. Phys. Lett. 25, 363 (2008). 10.1088/0256-307X/25/2/004
30. L. D. A. F. Costa, F. A. Rodrigues, G. Travieso, and P. R. V. Boas, Adv. Phys. 56, 167 (2007). 10.1080/00018730601170527
31. M. E. J. Newman, Phys. Rev. Lett. 89, 208701 (2002). 10.1103/PhysRevLett. 89.208701
32. Y. Xiao, M. Xiong, W. Wang, and H. Wang, Phys. Rev. E 77, 066108 (2008). 10.1103/PhysRevE.77.066108
33. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) 406, 378 (2000). 10.1038/35019019
34. K.-I. Goh, B. Kahng, and D. Kim, Phys. Rev. Lett. 87, 278701 (2001). 10.1103/PhysRevLett.87.278701
35. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003). 10.1103/PhysRevLett.91.014101
36. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). 10.1038/30918
37. H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai, and A.-L. Barabási, Nature (London) 407, 651 (2000). 10.1038/35036627
38. E. Ravasz, A. L. Somera, D. A. Mongru, Z. N. Oltvai, and A.-L. Barabási, Science 297, 1551 (2002). 10.1126/science.1073374
39. A. Vázquez, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. E 65, 066130 (2002). 10.1103/PhysRevE.65.066130
40. Q. Xuan, Y. Li, and T.-J. Wu, Physica A 388, 1257 (2009). 10.1016/j.physa.2008.12.020