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Based on the research of the human mobilety patterns, a random-walker network model is used to explain the empirical results on the networks of mobile agents, and shows a possible evolution mechanism of these networks. The simulation results show that the degree distribution of this network takes Poisson distribution, and it exhibits the small-world behavior. Moreover, we present a numerical investigation on the displacements of the mobile agents, and find that the distribution of displacements takes power-law. Our numerical results are in good agreement with the empirical results on the human travel from the trajectories of human bank notes.
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Keywords:
- complex networks /
- random-walkers /
- mobile network /
- small-world
[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Barabási A L, Albert R 1999 Science 286 509
[3] Barabási A L, Albert R, Joeng H 1999 Physica A 272 173
[4] Strogatz S H 2001 Nature 410 268
[5] Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[6] Newman M E J 2003 SIAM Rev. 45 167
[7] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Physics Reports 424 175
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[10] Song C, Havlim S, Makse H A 2005 Nature 433 392
[11] György S, Gábor F 2007 Physics Reports 446 97
[12] Szolnoki1A, Perc M, Danku Z 2008 EPL 84 50007
[13] Szolnoki A, Perc M 2009 EPL 86 30007
[14] Fortunato S 2010 Physics Reports 486 75
[15] Brockmann D, Hufnagel L, Geisel T 2006 Nature 439 462
[16] Gonzalez M C, Hidalgo C A, Barabási A L 2008 Nature 453 779
[17] Klafter J, Shlesinger M F, Zumofen G 1996 Phys. Today 49 33
[18] Viswanathan G M, Afanasyev V, Buldyrev S V, Murphy E J, Prince P A, Stanley H E 1996 Nature 381 413
[19] Buscarino A, Fortuna L, Frasca M, Latora V 2008 EPL 82 38002
[20] Tang J, Scellato S, Musolesi M, Mascolo C, Latora V 2010 Phys. Rev. E 81 055101
[21] Yang H X, Wang W X, Xie Y B, Lai Y C, Wang B H 2011 Phys. Rev. E 83 016102
[22] Valencia M, Martinerie J, Dupont S, Chavez M 2008 Phys. Rev. E 77 050905
[23] Fallani F, de Vico Latora V, Astolfi L, Cincotti F, Mattia D, Marciani M G, Salinari S, Colosimo A, Babiloni F 2008 J. Phys. A: Math. Theor. 41 224014
[24] Stehlé J, Barrat A, Bianconi G 2010 Phys. Rev. E 81 035101
[25] Reichenbach T, Mobilia M, Frey E 2007 Nature 448 1046
[26] Edwards A M, Phillips R A, Watkins N W, Freeman M P, Murphy E J, Afanasyev V, Buldyrev S V, Luz M G E, Raposo E P, Stanley H E, Viswanathan G M 2007 Nature 449 1044
[27] Sims D W, Southall E J, Humphries N E, Hays G C, Bradshaw C J A, Pitchford J W, James A, Ahmed M Z, Brierley A S, Hindell M A, Morritt D, Musyl M K, Righton D, Shepard E L C, Wearmouth V J,Wilson R P, Witt M J, Metcalfe J D 2008 Nature 451 1098
[28] Manna S S, Sen P 2002 Phys. Rev. E 66 066114
[29] Jiang Z H, Wang H, Gao C 2011 Acta Phys. Sin. 60 058903 (in Chinese) [姜志宏, 王 晖, 高 超 2011 物理学报 60 058903]
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[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Barabási A L, Albert R 1999 Science 286 509
[3] Barabási A L, Albert R, Joeng H 1999 Physica A 272 173
[4] Strogatz S H 2001 Nature 410 268
[5] Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[6] Newman M E J 2003 SIAM Rev. 45 167
[7] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Physics Reports 424 175
[8] Milo R, Shen-Orr S, Itzkovitz S, Kashan N, Chklovskii D, Alon U 2002 Science 298 824
[9] Milo R, Itzkovitz S, Kashtan N, Levitt R, Shen-Orr S, Ayzenshtat I, Sheffer M, Alon U 2004 Science 303 1538
[10] Song C, Havlim S, Makse H A 2005 Nature 433 392
[11] György S, Gábor F 2007 Physics Reports 446 97
[12] Szolnoki1A, Perc M, Danku Z 2008 EPL 84 50007
[13] Szolnoki A, Perc M 2009 EPL 86 30007
[14] Fortunato S 2010 Physics Reports 486 75
[15] Brockmann D, Hufnagel L, Geisel T 2006 Nature 439 462
[16] Gonzalez M C, Hidalgo C A, Barabási A L 2008 Nature 453 779
[17] Klafter J, Shlesinger M F, Zumofen G 1996 Phys. Today 49 33
[18] Viswanathan G M, Afanasyev V, Buldyrev S V, Murphy E J, Prince P A, Stanley H E 1996 Nature 381 413
[19] Buscarino A, Fortuna L, Frasca M, Latora V 2008 EPL 82 38002
[20] Tang J, Scellato S, Musolesi M, Mascolo C, Latora V 2010 Phys. Rev. E 81 055101
[21] Yang H X, Wang W X, Xie Y B, Lai Y C, Wang B H 2011 Phys. Rev. E 83 016102
[22] Valencia M, Martinerie J, Dupont S, Chavez M 2008 Phys. Rev. E 77 050905
[23] Fallani F, de Vico Latora V, Astolfi L, Cincotti F, Mattia D, Marciani M G, Salinari S, Colosimo A, Babiloni F 2008 J. Phys. A: Math. Theor. 41 224014
[24] Stehlé J, Barrat A, Bianconi G 2010 Phys. Rev. E 81 035101
[25] Reichenbach T, Mobilia M, Frey E 2007 Nature 448 1046
[26] Edwards A M, Phillips R A, Watkins N W, Freeman M P, Murphy E J, Afanasyev V, Buldyrev S V, Luz M G E, Raposo E P, Stanley H E, Viswanathan G M 2007 Nature 449 1044
[27] Sims D W, Southall E J, Humphries N E, Hays G C, Bradshaw C J A, Pitchford J W, James A, Ahmed M Z, Brierley A S, Hindell M A, Morritt D, Musyl M K, Righton D, Shepard E L C, Wearmouth V J,Wilson R P, Witt M J, Metcalfe J D 2008 Nature 451 1098
[28] Manna S S, Sen P 2002 Phys. Rev. E 66 066114
[29] Jiang Z H, Wang H, Gao C 2011 Acta Phys. Sin. 60 058903 (in Chinese) [姜志宏, 王 晖, 高 超 2011 物理学报 60 058903]
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