| Автор | Jan Naudts |
| Дата выпуска | 2010-12-01 |
| dc.description | The Boltzmann-Gibbs probability distribution, seen as a statistical model, belongs to the exponential family. Recently, the latter concept has been generalized. The q-exponential family has been shown to be relevant for the statistical description of small isolated systems. Two main applications are reviewed: 1. The distribution of the momentum of a single particle is a q-Gaussian, the distribution of its velocity is a deformed Maxwellian; 2. The configurational density distribution belongs to the q-exponential family.The definition of the temperature of small isolated systems is discussed. It depends on defining the thermodynamic entropy of a microcanonical ensemble in a suitable manner. The simple example of non-interacting harmonic oscillators shows that Rényi's entropy functional leads to acceptable results. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | © 2010 IOP Publishing Ltd |
| Название | The q-exponential family in statistical physics |
| Тип | paper |
| DOI | 10.1088/1742-6596/201/1/012003 |
| Electronic ISSN | 1742-6596 |
| Print ISSN | 1742-6588 |
| Журнал | Journal of Physics: Conference Series |
| Том | 201 |
| Первая страница | 12003 |
| Последняя страница | 12013 |
| Аффилиация | Jan Naudts; Universiteit Antwerpen, Groenenborgerlaan 1717, 2020 Antwerpen, Belgium |
| Выпуск | 1 |
