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arXiv 0912.0639cond-mat.stat-mechcond-mat.dis-nnphysics.soc-ph
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空间复杂网络中的临界涨落

Critical fluctuations in spatial complex networks

Serena Bradde, Fabio Caccioli, Luca Dall'Asta, Ginestra Bianconi

摘要:

在退火复杂网络中,反常平均场解被认为可以捕捉到伊辛模型的非平凡相图。然而,随机复杂网络中的临界涨落仍然是平均场。在这里,我们表明,当复杂网络嵌入几何空间时,可以获得这种情况的分解。通过对退火空间网络上的伊辛模型的分析,我们揭示了网络中引起临界涨落的谱特性,并将Ginsburg判据推广到复杂拓扑结构中.

英文摘要:

An anomalous mean-field solution is known to capture the non trivial phase diagram of the Ising model in annealed complex networks. Nevertheless the critical fluctuations in random complex networks remain mean-field. Here we show that a break-down of this scenario can be obtained when complex networks are embedded in geometrical spaces. Through the analysis of the Ising model on annealed spatial networks, we reveal in particular the spectral properties of networks responsible for critical fluctuations and we generalize the Ginsburg criterion to complex topologies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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