Effect of Mixing Assortativity on Extreme Events in Complex Networks
LING Xiang**
School of Transportation Engineering, Hefei University of Technology, Hefei 230009
Abstract :We investigate the effect of mixing assortativity on the occurrence of extreme events in complex networks. The bias random walk model is adopted with a preferential transition probability tuned by a parameter α . We derive exact expressions for the stationary distribution probability and for the occurrence probability of extreme events. They reveal that the occurrence of extreme events strongly depends on the mixing assortativity of the network. It is shown that, for non-assortative (rk =0), assortative (rk =0.15) and disassortative (rk =?0.15) scale-free networks, the minimal occurrence of extreme events will happen at α =?1.0, α =?0.6 andα =0.2, respectively.
出版日期: 2014-05-26
[1] Watts D J and Strogaz S H 1998 Nature 393 440 [2] Barabási A L and Albert R 1999 Science 286 509 [3] Barabási A L and Albert R 2002 Rev. Mod. Phys. 74 47 [4] Newman M E J 2003 SIAM Rev. 45 167 [5] Hu M B, Lau H Y K and Ling X 2012 Chin. Phys. Lett. 29 128902 [6] Arenas A, Díaz-Guilera A and Guimerá R 2001 Phys. Rev. Lett. 86 3196 [7] Ohira T and Sawatari R 1998 Phys. Rev. E 58 193 [8] De Martino D, DallAsta L, Bianconi G and Marsili M 2009 Phys. Rev. E 79 015101(R) [9] Zhu Z Q, Jin X L and Huang Z L 2012 Chin. Phys. Lett. 29 038901 [10] De Menezes M A and Barabási A L 2004 Phys. Rev. Lett. 92 028701 [11] Meloni S, Gómez-Garde?es J, Latora V and Moreno Y 2008 Phys. Rev. Lett. 100 208701 [12] Duch J and Arenas A 2006 Phys. Rev. Lett. 96 218702 [13] Shen Y 2013 Chin. Phys. B 22 058902 [14] Cai J and Yu S Z 2013 Acta Phys. Sin. 62 058901 (in Chinese) [15] Yan G, Zhou T, Hu B, Fu Z Q and Wang B H 2006 Phys. Rev. E 73 046108 [16] Ling X, Hu M B and Long J C 2013 Chin. Phys. B 22 018904 [17] Wang W X, Wang B H, Yin C Y, Xie Y B and Zhou T 2006 Phys. Rev. E 73 026111 [18] Du W B, Wu Z X and Cai K Q 2013 Physica A 392 3505 [19] Du W B, Cao X B and Chen C L 2011 Physica A 390 3982 [20] Cao X B, Du W B and Chen C L 2011 Chin. Phys. Lett. 28 058902 [21] Hu M B, Jiang R, Wu Y H, Wang W X and Wu Q S 2008 Eur. Phys. J. B 63 127 [22] Hu M B, Jiang R, Wang R L and Wu Q S 2009 Phys. Lett. A 373 2007 [23] Kishore V, Santhanam M S and Amritkar R E 2011 Phys. Rev. Lett. 106 188701 [24] Ling X, Hu M B, Ding J X, Shi Q and Jiang R 2013 Eur. Phys. J. B 86 146 [25] Sood V and Grassberger P 2007 Phys. Rev. Lett. 99 098701 [26] Lee S, Yook S H and Kim Y 2009 Phys. Rev. E 80 017102 [27] Fronczak A and Fronczak P 2009 Phys. Rev. E 80 016107 [28] Anteneodo C and Morgado W A M 2007 Phys. Rev. Lett. 99 180602 [29] Xulvi-Brunet R and Sokolov I M 2004 Phys. Rev. E 70 066102 [30] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[1]
. [J]. 中国物理快报, 2017, 34(6): 68902-.
[2]
. [J]. 中国物理快报, 2017, 34(5): 58901-.
[3]
. [J]. 中国物理快报, 2016, 33(06): 68901-068901.
[4]
. [J]. 中国物理快报, 2016, 33(05): 50501-050501.
[5]
. [J]. 中国物理快报, 2016, 33(04): 48901-048901.
[6]
. [J]. 中国物理快报, 2016, 33(03): 38901-038901.
[7]
. [J]. 中国物理快报, 2016, 33(02): 28901-028901.
[8]
. [J]. 中国物理快报, 2015, 32(12): 128901-128901.
[9]
. [J]. 中国物理快报, 2015, 32(11): 118902-118902.
[10]
. [J]. 中国物理快报, 2015, 32(07): 78901-078901.
[11]
. [J]. 中国物理快报, 2015, 32(03): 30501-030501.
[12]
. [J]. 中国物理快报, 2014, 31(08): 80504-080504.
[13]
. [J]. 中国物理快报, 2014, 31(07): 78901-078901.
[14]
. [J]. 中国物理快报, 2013, 30(10): 108901-108901.
[15]
. [J]. 中国物理快报, 2013, 30(5): 58901-058901.