Complete Condensation in a Zero Range Process on Scale-Free Networks
| Autor: | Hoyun Lee, G. M. Shim, Jae Dong Noh |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) Condensed matter physics Scale-free network FOS: Physical sciences General Physics and Astronomy Network structure Network size Degree distribution Triple bond Molecular physics Particle dynamics Exponent Scaling Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review Letters. 94 |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.94.198701 |
| Popis: | We study a zero range process on scale-free networks in order to investigate how network structure influences particle dynamics. The zero range process is defined with the particle jumping rate function $p(n)=n^\delta$. We show analytically that a complete condensation occurs when $\delta \leq \delta_c \equiv 1/(\gamma-1)$ where $\gamma$ is the degree distribution exponent of the underlying networks. In the complete condensation, those nodes whose degree is higher than a threshold are occupied by macroscopic numbers of particles, while the other nodes are occupied by negligible numbers of particles. We also show numerically that the relaxation time follows a power-law scaling $\tau \sim L^z$ with the network size $L$ and a dynamic exponent $z$ in the condensed phase. Comment: 4 pages, 2 EPS figures, and 1 table (some revision for relational dynamics parts) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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