Scaling exponents and phase separation in a nonlinear network model inspired by the gravitational accretion

Physica D: Nonlinear Phenomena

Volumn 255, Issue , 2013, Pages 52-57

  Bogojević, Aleksandar ^a   Balaž, Antun ^a   Belić, Aleksandar ^a  

^a UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

Complex networks; Gravitational accretion; Planetary system formation; Scaling exponents

Indexed keywords

COMPLEX NETWORKS; NONLINEAR NETWORK ANALYSIS; NONLINEAR NETWORKS; SCALING LAWS;

FORMATION OF PLANETARY SYSTEMS; GRAVITATIONAL ACCRETION; INITIAL CONDITIONS; LIGHT CONDENSATES; MASS DISTRIBUTION; NONLINEAR NETWORK MODEL; PLANETARY SYSTEM; SCALING EXPONENT;

PHASE SEPARATION;

EID: 84878326258     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2013.04.004     Document Type: Article

References (44)

1. S.N. Dorogovtsev, and A.V. Goltsev Rev. Modern Phys. 80 2008 1275
2. R. Albert, and A.-L. Barabási Rev. Modern Phys. 74 2002 47
3. G.U. Yule Philos. Trans. R. Soc. Lond., Ser. B 213 1925 21
4. H.A. Simon Biometrika 42 1955 425
5. R. Albert, H. Jeong, and A.-L. Barabási Nature 401 1999 130
6. A.-L. Barabási, and R. Albert Science 286 1999 509
7. A.-L. Barabási, R. Albert, and H. Jeong Physica A 272 1999 173
8. R. Albert, and A.-L. Barabási Phys. Rev. Lett. 84 2000 5660
9. R. Albert, and A.-L. Barabási Phys. Rev. Lett. 85 2000 5234
10. H. Jeong, B. Tombor, R. Albert, Z.N. Oltvai, and A.-L. Barabási Nature 407 2000 651
11. H. Jeong, S. Mason, A.-L. Barabási, and Z.N. Oltvai Nature 411 2001 41
12. T. Ochiai, J.C. Nacher, and T. Akutsu Phys. Lett. A 330 2004 313
13. T. Ochiai, J.C. Nacher, and T. Akutsu Phys. Lett. A 339 2005 1
14. J. Lu, D.W.C. Ho, and M. Liu Phys. Lett. A 369 2007 444
15. M. Mitrović, G. Paltoglou, and B. Tadić Eur. Phys. J. B 77 2010 597
16. M. Mitrović, G. Paltoglou, and B. Tadić J. Stat. Mech. Theory Exp. 2011 P02005
17. M. Mitrović, and B. Tadić Physica A 391 2012 21
18. M.Á. Serrano, M. Boguñá, and A. Daz-Guilera Phys. Rev. Lett. 94 2005 038701
19. S.-M. Cai, G. Yan, T. Zhou, P.-L. Zhou, Z.-Q. Fu, and B.-H. Wang Phys. Lett. A 366 2007 14
20. M. Barthélemy, and A. Flammini Phys. Rev. Lett. 100 2008 138702
21. L. Lacasa, M. Cea, and M. Zanin Physica A 388 2009 3948
22. A.K. Nandi, K. Bhattacharya, and S.S. Manna Physica A 388 2009 3651
23. G.W. Marcy, and R.P. Butler Annu. Rev. Astron. Astrophys. 36 1998 57
24. J.J. Lissauer Nature 419 2002 355
25. N.C. Santos, W. Benz, and M. Mayor Science 310 2005 251
26. G.W. Wetherill Astrophys. Space Sci. 241 1996 25
27. E. Kokubo, and S. Ida Icarus 131 1998 171
28. M.A.C. Perryman Rep. Progr. Phys. 63 2000 1209
29. J.J. Lissauer Space Sci. Rev. 116 2005 11
30. S.H. Dole Icarus 13 1970 494
31. R. Isaacman, and C. Sagan Icarus 31 1977 510
32. J. Laskar Phys. Rev. Lett. 84 2000 3240
33. S.J. Weidenschilling Space Sci. Rev. 116 2005 53
34. Ž. Ivezić, S. Tabachnik, and R. Rafikov Astron. J. 122 2001 2749
35. S.H. Dole ARS J. 31 1961 214
36. J.J. Lissauer Annu. Rev. Astron. Astrophys. 31 1993 129
37. A. Balaž, A. Belić, and A. Bogojević Publ. Astron. Obs. Belgrade 65 1999 17
38. A. Balaž, A. Belić, and A. Bogojević Publ. Astron. Obs. Belgrade 65 1999 23
39. A. Balaž, A. Belić, and A. Bogojević Publ. Astron. Obs. Belgrade 65 1999 27
40. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical Recipes: The Art of Scientific Computing 2nd edn 2007 Cambridge University Press New York
41. SOLAR code, http://www.scl.rs/solar/.
42. E. Kokubo, and S. Ida Icarus 123 1996 180
43. P. Brosche Z. Astrophys. 57 1963 143
44. J.R. Dormand, and J. McCue J. Brit. Astr. Assoc. 98 1987 23