摘要翻译：
动力学反应扩散过程和元布居模型是许多现象的标准建模方法，在这些现象中，局部量--如密度、势和粒子--根据物理规律扩散和相互作用。本文研究了两个基本的反应扩散过程($B\to A$和$A+B\to 2B$)在具有异构拓扑且不受节点占用数限制的网络上的行为。我们研究了网络拓扑结构对体系相图基本性质的影响，发现即使在粒子密度消失的极限下，网络的不均匀性也维持了反应活性，最终抑制了密度驱动相变的临界点，而与粒子密度无关的相变和临界点不受拓扑涨落的影响。该工作为研究广泛的现实元种群模型和基于Agent的模型提供了一个理论和计算的微观框架，这些模型包括现实世界网络的复杂特征。
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英文标题：
《Reaction-diffusion processes and metapopulation models in heterogeneous
  networks》
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作者：
V. Colizza, R. Pastor-Satorras, A. Vespignani
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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：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  Dynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities - such as density, potential and particles - diffuse and interact according to the physical laws. Here, we study the behavior of two basic reaction-diffusion processes ($B \to A$ and $A+B \to 2B$) defined on networks with heterogeneous topology and no limit on the nodes' occupation number. We investigate the effect of network topology on the basic properties of the system's phase diagram and find that the network heterogeneity sustains the reaction activity even in the limit of a vanishing density of particles, eventually suppressing the critical point in density driven phase transitions, whereas phase transition and critical points, independent of the particle density, are not altered by topological fluctuations. This work lays out a theoretical and computational microscopic framework for the study of a wide range of realistic meta-populations models and agent-based models that include the complex features of real world networks.
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PDF链接：
https://arxiv.org/pdf/cond-mat/0703129