分子和粘附分子的统计动力学
Statistical Dynamics of Religions and Adherents
摘要：
忠诚度是人口最重要的社会学方面之一。任何宗教都可能在信仰上发生变化，并适应社会的发展。宗教是一种社会变量，就像语言或财富一样，可以像其他组织参数一样进行研究。在本研究中，可以提出几个问题：例如：（i）从“宏观”的角度来看：在特定时间存在多少宗教？(ii)从“微观”的角度来看：有多少信徒属于一个宗教？追随者的数量是否增加，以及如何增加？不用说，如果找到了定量的答案和数学定律，可以想象基于代理的模型来描述这种非平衡过程。研究发现，经验法则可以推导出来，并与优先连接过程有关，就像在进化网络上一样;我们提出了两种不同的算法模型，并再现了数据。此外，人口增长-死亡方程是一个合理的模型的进化动力学在一个连续的时间框架。强调语言动态竞争的差异性。
英文摘要：
Religiosity is one of the most important sociological aspects of populations. All religions may evolve in their beliefs and adapt to the society developments. A religion is a social variable, like a language or wealth, to be studied like any other organizational parameter. Several questions can be raised, as considered in this study: e.g. (i) from a ``macroscopic'' point of view : How many religions exist at a given time? (ii) from a ``microscopic'' view point: How many adherents belong to one religion? Does the number of adherents increase or not, and how? No need to say that if quantitative answers and mathematical laws are found, agent based models can be imagined to describe such non-equilibrium processes. It is found that empirical laws can be deduced and related to preferential attachment processes, like on evolving network; we propose two different algorithmic models reproducing as well the data. Moreover, a population growth-death equation is shown to be a plausible modeling of evolution dynamics in a continuous time framework. Differences with language dynamic competition is emphasized.
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