| 书目名称 | Deterministic Abelian Sandpile Models and Patterns | | 编辑 | Guglielmo Paoletti | | 视频video | | | 概述 | Nominated as an outstanding PhD thesis by the University of Pisa.Includes many beautiful and highly detailed color images explaining the topic.Presents numerical protocols in detail, allowing readers | | 丛书名称 | Springer Theses | | 图书封面 |  | | 描述 | The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters. The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an ol | | 出版日期 | Book 2014 | | 关键词 | Abelian Sandpile Model; Algebraic Structure; Cellular Automata; Computer Art; Pattern Formation; Plane Te | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-01204-9 | | isbn_softcover | 978-3-319-34745-5 | | isbn_ebook | 978-3-319-01204-9Series ISSN 2190-5053 Series E-ISSN 2190-5061 | | issn_series | 2190-5053 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 16:06:34
