K -core percolation in four dimensions

Giorgio Parisi; Tommaso Rizzo

doi:10.1103/PhysRevE.78.022101

K -core percolation in four dimensions

Giorgio Parisi^*
, Tommaso Rizzo

^*此作品的通讯作者

University of Rome La Sapienza
Enrico Fermi Center

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

The k -core percolation on the Bethe lattice has been proposed as a simple model of the jamming transition because of its hybrid first-order-second-order nature. We investigate numerically k -core percolation on the four-dimensional regular lattice. For k=4, the presence of a discontinuous transition is clearly established but its nature is strictly first-order. In particular, the k -core density displays no singular behavior before the jump and its correlation length remains finite. For k=3, the transition is continuous.

源语言	英语
期刊论文编号	022101
期刊	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
卷	78
期	2
DOI	https://doi.org/10.1103/PhysRevE.78.022101
出版状态	已出版 - 27 8月 2008
已对外发布	是

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K -core percolation in four dimensions

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