| Автор | Chandrashekar, R |
| Автор | Naina Mohammed, S S |
| Дата выпуска | 2011-05-01 |
| dc.description | A comprehensive investigation is carried out on the class of energy-based ensembles. The eight ensembles are divided into two main classes. In the isothermal class of ensembles the individual members are at the same temperature. A unified framework is evolved to describe the four isothermal ensembles using the currently accepted third constraint formalism. The isothermal–isobaric, grand canonical and generalized ensembles are illustrated through a study of the classical nonrelativistic and extreme relativistic ideal gas models. An exact calculation is possible only in the case of the isothermal–isobaric ensemble. The study of the ideal gas models in the grand canonical and the generalized ensembles has been carried out using a perturbative procedure with the nonextensivity parameter (1 − q) as the expansion parameter. Though all the thermodynamic quantities have been computed up to a particular order in (1 − q) the procedure can be extended up to any arbitrary order in the expansion parameter. In the adiabatic class of ensembles the individual members of the ensemble have the same value of the heat function and a unified formulation to described all four ensembles is given. The nonrelativistic and the extreme relativistic ideal gases are studied in the isoenthalpic–isobaric ensemble, the adiabatic ensemble with number fluctuations and the adiabatic ensemble with number and particle fluctuations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | IOP Publishing Ltd |
| Название | A class of energy-based ensembles in Tsallis statistics |
| Тип | paper |
| DOI | 10.1088/1742-5468/2011/05/P05018 |
| Electronic ISSN | 1742-5468 |
| Журнал | Journal of Statistical Mechanics: Theory and Experiment |
| Том | 2011 |
| Первая страница | P05018 |
| Последняя страница | 33 |
| Аффилиация | Chandrashekar, R; Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025, India |
| Аффилиация | Naina Mohammed, S S; Department of Education in Science and Mathematics, Regional Institute of Education, Mysore 570 006, India ; |
| Выпуск | 05 |
