| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Condensation of Self-Driven Particles in Scale-Free Networks |
| SHEN Jing |
| Department of Mechanical and Electrical Engineering, Yancheng Mechanical and Electrical of Higher Vocational-Technical School, Yancheng 224000 |
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| Cite this article: |
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SHEN Jing 2010 Chin. Phys. Lett. 27 028901 |
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Abstract A new simple model of self-driven particles in scale-free networks is introduced to understand the emergence of condensation in the natural world. In the model, at each time step, particles are driven to choose their next habitats according to the particle numbers at both the present habitats and neighbors. It is found that the hub effect results in the condensation. The present numerical results as well as the theoretical analysis of condensation transition show the criterion of condensation. Both simulations and theoretical analysis display that there are three phases for different hopping probabilities δ: non-condensation (δ<δc), partial condensation (δc≤ δ<1), and complete condensation (δ≥δc'= 1), and the mean occupation particle number at the stationary state is also obtained. Moreover, the noise effect on self-driven particles is studied, and it makes particle numbers at nodes tend towards being identical.
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| Keywords:
89.75.Hc
05.20.-y
05.70.Fh
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Received: 16 June 2009
Published: 08 February 2010
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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05.20.-y
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(Classical statistical mechanics)
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05.70.Fh
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(Phase transitions: general studies)
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