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摘要翻译：
利用非均匀无序晶格中一维接触过程生存概率的超临界级数展开，计算了临界点轨迹和临界指数β。通过考虑具有不同恢复速率和相同传输速率的节点的二元规则和不规则格来模拟异质性和无序性。在对两个变量（两个回收率）展开的情况下，采用了两种基于嵌套Pad近似和偏微分近似的分析方法来计算临界值和临界指数。非均相系统的临界指数与均匀接触过程的临界指数非常接近，从而证实周期非均相环境中的接触过程属于有向渗流普适类。相反，无序系统似乎有连续变化的临界指数。
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英文标题：
《Supercritical series expansion for the contact process in heterogeneous
and disordered environments》
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作者：
C. J. Neugebauer and S. N. Taraskin
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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：
The supercritical series expansion of the survival probability for the one-dimensional contact process in heterogeneous and disordered lattices is used for the evaluation of the loci of critical points and critical exponents $\beta$. The heterogeneity and disorder are modeled by considering binary regular and irregular lattices of nodes characterized by different recovery rates and identical transmission rates. Two analytical approaches based on Nested Pad\'e approximants and Partial Differential approximants were used in the case of expansions with respect to two variables (two recovery rates) for the evaluation of the critical values and critical exponents. The critical exponents in heterogeneous systems are very close to those for the homogeneous contact process thus confirming that the contact process in periodic heterogeneous environment belongs to the directed percolation universality class. The disordered systems, in contrast, seem to have continuously varying critical exponents.
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PDF链接：
https://arxiv.org/pdf/705.1967
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