一维外流动力学的一些新结果
Some new results on one-dimensional outflow dynamics
摘要：
在本文中，我们介绍了修改后的版本的一维外流动力学（称为Sznajd模型），简化了分析处理。我们表明，模拟结果的原始和修改后的规则是完全相同的各种初始条件。利用Kirkwood近似，我们得到了退出概率的解析公式，并表明在随机初始条件下，它与计算机模拟完全一致。此外，我们还将所得结果与早期的重整化群和Galam提出的一般序贯概率框架的解析计算结果进行了比较。利用计算机模拟，我们调查的几个关联函数的时间演化，以显示如果柯克伍德近似可以证明。令人惊讶的是，它发生柯克伍德近似给出正确的结果，即使对于这些初始条件，它不能很容易地证明。
英文摘要：
In this paper we introduce modified version of one-dimensional outflow dynamics (known as a Sznajd model) which simplifies the analytical treatment. We show that simulations results of the original and modified rules are exactly the same for various initial conditions. We obtain the analytical formula for exit probability using Kirkwood approximation and we show that it agrees perfectly with computer simulations in case of random initial conditions. Moreover, we compare our results with earlier analytical calculations obtained from renormalization group and from general sequential probabilistic frame introduced by Galam. Using computer simulations we investigate the time evolution of several correlation functions to show if Kirkwood approximation can be justified. Surprisingly, it occurs that Kirkwood approximation gives correct results even for these initial conditions for which it cannot be easily justified.
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