| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1088/1367-2630/aadcbe |
| Classification of complex systems by their sample-space scaling exponents. | |
| Korbel J; Hanel R; Thurner S | |
| 发表日期 | 2018 |
| 出处 | New Journal of Physics 20 (9): e093007 |
| 出版年 | 2018 |
| 语种 | 英语 |
| 摘要 | The nature of statistics, statistical mechanics and consequently the thermodynamics of stochastic systems is largely determined by how the number of states W(N) depends on the size N of the system. Here we propose a scaling expansion of the phasespace volume W(N) of a stochastic system. The corresponding expansion coefficients (exponents) define the universality class the system belongs to. Systems within the same universality class share the same statistics and thermodynamics. For sub-exponentially growing systems such expansions have been shown to exist. By using the scaling expansion this classification can be extended to all stochastic systems, including correlated, constraint and super-exponential systems. The extensive entropy of these systems can be easily expressed in terms of these scaling exponents. Systems with super-exponential phasespace growth contain important systems, such as magnetic coins that combine combinatorial and structural statistics. We discuss other applications in the statistics of networks, aging, and cascading random walks. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | :scaling expansion, extensive entropy, super-exponential systems, complex systems, sample space |
| URL | http://pure.iiasa.ac.at/id/eprint/15529/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/131321 |
| 推荐引用方式 GB/T 7714 | Korbel J,Hanel R,Thurner S. Classification of complex systems by their sample-space scaling exponents.. 2018. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| Korbel_2018_New_J._P（645KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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