用级数展开法对接触对生成过程的比较研究
A comparative study for the pair-creation contact process using series expansions
摘要：
比较研究了两种不同的微扰级数展开对创建接触过程。与普通接触过程相比，其超临界级数展开提供了对其临界行为的准确估计，超临界方法在应用于对产生过程时不能正常工作。为了避免这个问题，引入了一个程序，其中一个网站的创建被添加到对创建。另一种方法是生成亚临界级数展开，它甚至适用于纯对创建过程的情况。从超临界的情况下，次临界系列产生的估计是兼容的数值模拟。
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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