Some inequalities for mean values in statistical mechanics
β Scribed by V. N. Plechko
- Book ID
- 112461947
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1976
- Tongue
- English
- Weight
- 606 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0040-5779
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A formula is derived from which one can obtain a family of two-sided inequali-Ε½ n r . 1r r ties involving the elementary mean values Γ w x . In particular, one member of this family provides a new refinement of the arithmetic mean-geometric mean inequality.
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.