摘要翻译:
我们引入了两类粒子($a$和$B$)的优先扩散模型:当两种粒子都存在于同一位置时,$a$的运动优先于$B$的运动。这描述了无线和通信网络中的现实情况。在规则晶格中,这两种物质的扩散是正常的,但由于$A$粒子的存在,$B$粒子的扩散明显较慢。从我们解析计算的$B$粒子可以自由运动的位置的分数,我们导出了这两个物种的扩散系数。在异构网络中,$B$是自由的站点的比例随着站点的程度呈指数下降。再加上高阶节点中粒子的积累,导致无标度网络中低优先级粒子被困住。
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英文标题:
《Priority diffusion model in lattices and complex networks》
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作者:
Michalis Maragakis, Shai Carmi, Daniel ben-Avraham, Shlomo Havlin,
Panos Argyrakis
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Disordered Systems and Neural Networks 无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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英文摘要:
We introduce a model for diffusion of two classes of particles ($A$ and $B$) with priority: where both species are present in the same site the motion of $A$'s takes precedence over that of $B$'s. This describes realistic situations in wireless and communication networks. In regular lattices the diffusion of the two species is normal but the $B$ particles are significantly slower, due to the presence of the $A$ particles. From the fraction of sites where the $B$ particles can move freely, which we compute analytically, we derive the diffusion coefficients of the two species. In heterogeneous networks the fraction of sites where $B$ is free decreases exponentially with the degree of the sites. This, coupled with accumulation of particles in high-degree nodes leads to trapping of the low priority particles in scale-free networks.
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PDF链接:
https://arxiv.org/pdf/710.3386