Some Inequalities of Interest in Statistical Mechanics
β Scribed by Luttinger, J. M.
- Book ID
- 118150221
- Publisher
- Oxford University Press
- Year
- 1966
- Tongue
- English
- Weight
- 513 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0375-9687
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some matrix inequalities used in statistical mechanics are presented. A straightforward proof of the Thermodynamic Inequality is given and its equivalence to the Peierls-Bogoliubov inequality is shown.
In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized Golden-Thompson inequality.
Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for instance Refs. [18,21]). During recent years, there have been a number of papers where statistical results are used to prove some matrix theorems, especially matrix inequalities (Refs. [5,7,8,10,14,15