| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1016/j.physleta.2013.05.028 |
| The transformation groupoid structure of the q-Gaussian family. | |
| Tateishi AA; Hanel R; Thurner S | |
| 发表日期 | 2013 |
| 出处 | Physics Letters A 377 (31-33): 1804-1809 |
| 出版年 | 2013 |
| 语种 | 英语 |
| 摘要 | Groupoid theory plays an important role in physics since the beginnings of quantum mechanics. Recent developments in understanding symmetries in complex dynamical systems underpin the growing importance of groupoid theory also for statistical mechanics. The q-Gaussian function is observed as the distribution function of many physical and biological systems and emerges naturally in the statistical mechanics of non-ergodic and complex systems. A number of dynamical systems are characterized by pairs and triples of q-Gaussians. The aim of this work is to relate these triples of q-Gaussians with different q-values, representing intrinsic symmetries of the dynamical system at hand, such that any value of q can be mapped uniquely to any other value q'. We present a complete set of transformations of q-Gaussians by deriving a general map gamma_qq' that transforms normalizable q-Gaussian distributions into one another. We show that the action of gamma_qq' is a transformation groupoid. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | Transformation groupoid Correlated binary systems Generalized statistical mechanics |
| URL | http://pure.iiasa.ac.at/id/eprint/10402/ |
| 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/129733 |
| 推荐引用方式 GB/T 7714 | Tateishi AA,Hanel R,Thurner S. The transformation groupoid structure of the q-Gaussian family.. 2013. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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