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摘要翻译：
对产生对的接触过程的两种不同的摄动级数展开式进行了比较研究。与普通接触过程相比，超临界级数展开可以准确地估计接触过程的临界行为，而超临界方法不适用于成对过程。为了避免这个问题，引入了一个过程，其中一个站点创建被添加到对创建中。另一种方法是生成次临界级数展开式，它甚至适用于纯成对过程的情况。与超临界情形不同的是，亚临界级数得到了与数值模拟相兼容的估计。
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英文标题：
《A comparative study for the pair-creation contact process using series
expansions》
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作者：
C.E. Fiore, W.G. Dantas and M.J. de Oliveira
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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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英文摘要：
A comparative study between two distinct perturbative series expansions for the pair-creation contact process is presented. In contrast to the ordinary contact process, whose supercritical series expansions provide accurate estimates for its critical behavior, the supercritical approach does not work properly when applied to the pair-creation process. To circumvent this problem a procedure is introduced in which one-site creation is added to the pair-creation. An alternative method is the generation of subcritical series expansions which works even for the case of the pure pair-creation process. Differently from the supercritical case, the subcritical series yields estimates that are compatible with numerical simulations.
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PDF链接：
https://arxiv.org/pdf/705.0485
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