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摘要翻译：
复杂网络科学是近年来在物理学、生物学、社会科学、计算机科学等学科的基础上兴起的一门新兴的交叉学科。它的主要目标是发现支配网络（如互联网、交通运输或神经网络）上的创造和增长以及过程的一般规律。事实证明，大多数现实世界的网络不能简单地简化为一些单个组件的复合体。幸运的是，作为现代物理学支柱之一的统计力学为我们描述和理解这些系统提供了一套非常强大的工具和方法。在这篇论文中，我们将提出一种基于统计力学的复杂网络的一致性方法，其中网络的统计集成概念起着核心作用。我们展示了如何构造这样一个理论，并给出了一些可以应用的实际问题。其中，我们关注有限尺寸修正问题和一个简单的网络上质量传输模型的动力学问题。
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英文标题：
《Statistical mechanics of complex networks》
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作者：
B. Waclaw
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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：
The science of complex networks is a new interdisciplinary branch of science which has arisen recently on the interface of physics, biology, social and computer sciences, and others. Its main goal is to discover general laws governing the creation and growth as well as processes taking place on networks, like e.g. the Internet, transportation or neural networks. It turned out that most real-world networks cannot be simply reduced to a compound of some individual components. Fortunately, the statistical mechanics, being one of pillars of modern physics, provides us with a very powerful set of tools and methods for describing and understanding these systems. In this thesis, we would like to present a consistent approach to complex networks based on statistical mechanics, with the central role played by the concept of statistical ensemble of networks. We show how to construct such a theory and present some practical problems where it can be applied. Among them, we pay attention to the problem of finite-size corrections and the dynamics of a simple model of mass transport on networks.
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PDF链接：
https://arxiv.org/pdf/704.3702
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