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Bose-Einstein condensation in random directed networks.

O Sotolongo-Costa1, G J Rodgers

  • 1Department of Theoretical Physics, Havana University, 10400 Havana, Cuba.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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Bose-Einstein condensation emerges in random growing networks. Network growth and vertex fitness distribution influence condensation, revealing its dependence on fitness distribution.

Area of Science:

  • Statistical Physics
  • Network Science
  • Complex Systems

Background:

  • Bose-Einstein condensation (BEC) is a quantum mechanical phenomenon.
  • Understanding BEC in complex network structures is an emerging research area.
  • Random growing networks offer a model for dynamic systems.

Purpose of the Study:

  • To investigate the occurrence of Bose-Einstein condensation in a random growing directed network.
  • To analyze the influence of network growth dynamics on condensation.
  • To determine the role of vertex fitness distribution in BEC.

Main Methods:

  • Modeling a random growing directed network with vertex and edge additions.
  • Introducing vertex fitness (a,b) drawn from a probability distribution f(a,b).

Related Experiment Videos

  • Defining edge attachment rates based on vertex fitness and current degrees.

    • Main Results:

    • Bose-Einstein condensation is observed in the modeled network.
    • The phenomenon's occurrence is directly linked to the fitness distribution f(a,b).
    • Network growth parameters (p for vertex/edge addition) affect condensation dynamics.

    Conclusions:

    • Bose-Einstein condensation can manifest in evolving random networks.
    • The fitness distribution is a critical factor governing BEC in these systems.
    • This study provides insights into emergent phenomena in dynamic complex networks.