Correlation Inequalities and Lower Bounds for the Critical Value λc of Contact Processes
Correlation Inequalities and Lower Bounds for the Critical Value λc of Contact Processes
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相关不等式和接触过程临界值 λc 的下界
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
N. Konno
中科院分区：
文献类型：
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作者：
M. Katori;N. Konno
本文提出了一种新的公式，以获得接触过程临界值λ c的下界。导出了一系列相关不等式，并结合一组相关恒等式估计了序参数ρ λ .一个简化的推导的Dobrushin和Harris界提出以下我们的配方。将Griffeath界推广到一般维数d ≥1.对于一维系统，计算了改进的边界。这些界限进行了系统的分类，根据一个基本集群的选择。
A new formulation is presented to obtain lower bounds for the critical value λ c of the contact processes. A series of correlation inequalities are derived and combined with a set of correlation identities to estimate an order parameter ρ λ . A simplified derivation of the Dobrushin and the Harris bound is presented following our formulation. The Griffeath bound is extended to the general dimensions d ≥1. For the one-dimensional system, improved bounds are calculated. These bounds are classified systematically according to the choice of a basic cluster.