𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some inequalities for mean values in statistical mechanics

✍ 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.


πŸ“œ SIMILAR VOLUMES


Some New Inequalities Involving Elementa
✍ A.McD. Mercer πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 49 KB

A formula is derived from which one can obtain a family of two-sided inequali-Ž n r . 1r r ties involving the elementary mean values Ý w x . In particular, one member of this family provides a new refinement of the arithmetic mean-geometric mean inequality.

Inequalities for integral mean values
✍ LΓ‘szlΓ³ Losonczi πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 906 KB
Matrix inequalities in statistical mecha
✍ N. Bebiano; J. da ProvidΓͺncia Jr.; R. Lemos πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 185 KB

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.

Trace inequalities in nonextensive stati
✍ Shigeru Furuichi πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 118 KB

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.