Model of Communities Isolation at Hierarchical Modular Networks

• Authors: P. Kondratiuk , J. Hołyst
• Languages of publication: EN

Abstracts

EN

The model of community isolation was extended to the case when individuals are randomly placed at the nodes of hierarchical modular networks. It was shown that the average number of blocked nodes (individuals) increases in time as a power function, with the exponent depending on the network parameters. The distribution of the time when the first isolated cluster appears is unimodal, non-gaussian. The developed analytical approach is in a good agreement with the simulation data.

Keywords

EN

89.75.Hc; 02.50.-r; 89.75.-k; 89.75.Da; 89.75.Fb

Discipline

• 89.75.-k: Complex systems(for complex chemical systems, see 82.40.Qt; for biological complexity, see 87.18.-h)
• 89.75.Hc: Networks and genealogical trees
• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)
• 89.75.Da: Systems obeying scaling laws
• 89.75.Fb: Structures and organization in complex systems

• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 2B
• Pages: B-67-B-71

Dates

published

2012-02

Contributors

author

P. Kondratiuk

• Faculty of Physics, Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland

author

J. Hołyst

• Faculty of Physics, Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland

References

• [1] E. Ravasz, A.-L. Barabási, Phys. Rev. E 67, 026112 (2003)
• [2] S. Komosa, J.A. Hołyst, Ising model at hierarchical network, to be published
• [3] M.F. Laguna, S. Risau Gusman, G. Abramson, S. Gonçalves, J.R. Iglesias, Physica A 351, 580 (2005)
• [4] S. Galam, A. Vignes, Physica A 351, 605 (2005)
• [5] K. Suchecki, J.A. Hołyst, Acta Phys. Pol. B 36, 2499 (2005)
• [6] I. Dornic, H. Chat, J. Chave, H. Hinrichsen, Phys. Rev. Lett. 87, 045701 (2001)
• [7] G. Deffuant, F. Amblard, G. Weisbuch, T. Faure JASSS 5 (2002)
• [8] S. Galam, Eur. Phys. J. B 25, 403 (2002)
• [9] S. Lee, P. Holme, Z.-X. Wu, Phys. Rev. Lett. 106, 028702 (2011)
• [10] C. Castellano, S. Fortunato, V. Loreto, Rev. Mod. Phys. 81, 591 (2009)
• [11] J. Sienkiewicz, J.A. Hołyst, Phys. Rev. E 80, 036103 (2009)
• [12] P. Sjögren, Biological Journal of the Linnean society 42, 135 (1991)
• [13] T.C. Schelling, J. of Math. Soc. 1, 143 (1971)
• [14] D. Stauffer, S. Solomon, Eur. Phys. J. B 57, 473 (2007)
• [15] J. Sienkiewicz, G. Siudem, J.A. Hołyst, Phys. Rev. E 82, 057101 (2010)

Identifiers

DOI

10.12693/APhysPolA.121.B-67