| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Synchronization of Local Oscillations in a Spatial Rock-Scissors-Paper Game Model |
| SUN Rong-Sheng, HUA Da-Yin |
| Department of Physics, Laboratory of Nano-materials and Technology, Ningbo University, Ningbo 315211 |
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| Cite this article: |
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SUN Rong-Sheng, HUA Da-Yin 2009 Chin. Phys. Lett. 26 086403 |
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Abstract We study a spatial rock-scissors-paper model in a square lattice and a quenched small-world network. The system exhibits a global oscillation in the quenched small-world network, but the oscillation disappears in the square lattice. We find that there is a local oscillation in the square lattice the same as in the quenched small-world network. We define σ=1/NΣi(di-<di>)2 (where di is the density of a kind of species and <di> is the average value) as the variance of the oscillation amplitude in a certain local patch. It is found that σ decays in a power law with an increase of the local patch size R in the square lattice σ∝ R-δ, but it remains constant with an increase of the patch size in the quenched small-world network. We can speculate that in the square lattice, superposition between the local oscillations in different patches leads to global stabilization, while in the quenched small-world network, long-range interactions can synchronize the local oscillations, and their coherence results in the global oscillation.
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| Keywords:
64.60.Cn
02.70.Uu
05.50.+q
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Received: 16 April 2009
Published: 30 July 2009
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| PACS: |
64.60.Cn
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(Order-disorder transformations)
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02.70.Uu
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(Applications of Monte Carlo methods)
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05.50.+q
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(Lattice theory and statistics)
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