English

Trace inequalities in nonextensive statistical mechanics

Statistical Mechanics 2010-01-10 v2

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0508334,
  title  = {Trace inequalities in nonextensive statistical mechanics},
  author = {Shigeru Furuichi},
  journal= {arXiv preprint arXiv:cond-mat/0508334},
  year   = {2010}
}