| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1038/s41598-018-28962-1 |
| How driving rates determine the statistics of driven non-equilibrium systems with stationary distributions. | |
| Corominas-Murtra B; Hanel R; Zavojanni L; Thurner S | |
| 发表日期 | 2018 |
| 出处 | Scientific Reports 8 (1): e10837 |
| 出版年 | 2018 |
| 语种 | 英语 |
| 摘要 | Sample space reducing (SSR) processes offer a simple analytical way to understand the origin and ubiquity of power-laws in many path-dependent complex systems. SRR processes show a wide range of applications that range from fragmentation processes, language formation to search and cascading processes. Here we argue that they also offer a natural framework to understand stationary distributions of generic driven non-equilibrium systems that are composed of a driving- and a relaxing process. We show that the statistics of driven non-equilibrium systems can be derived from the understanding of the nature of the underlying driving process. For constant driving rates exact power-laws emerge with exponents that are related to the driving rate. If driving rates become state-dependent, or if they vary across the life-span of the process, the functional form of the state-dependence determines the statistics. Constant driving rates lead to exact power-laws, a linear state-dependence function yields exponential or Gamma distributions, a quadratic function produces the normal distribution. Logarithmic and power-law state dependence leads to log-normal and stretched exponential distribution functions, respectively. Also Weibull, Gompertz and Tsallis-Pareto distributions arise naturally from simple state-dependent driving rates. We discuss a simple physical example of consecutive elastic collisions that exactly represents a SSR process. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | Statistical physics Statistics |
| URL | http://pure.iiasa.ac.at/id/eprint/15377/ |
| 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/131381 |
| 推荐引用方式 GB/T 7714 | Corominas-Murtra B,Hanel R,Zavojanni L,et al. How driving rates determine the statistics of driven non-equilibrium systems with stationary distributions.. 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 | ||
| s41598-018-28962-1.p（1948KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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