Perturbation and variational methods in nonextensive Tsallis statistics

被引:59
作者
Lenzi, EK
Malacarne, LC
Mendes, RS
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Sao Paulo, Inst Fis, Dept Fis Matemat, BR-01498 Sao Paulo, Brazil
[3] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil
关键词
D O I
10.1103/PhysRevLett.80.218
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational method, the Bogoliubov inequality is generalized in a very natural way following the Feynman proof for the usual statistical mechanics. The inequality turns out to be form invariant with respect to the entropic index q. The method is illustrated with a simple example in classical mechanics. The formalisms developed here are expected to be useful in the discussion of nonextensive systems.
引用
收藏
页码:218 / 221
页数:4
相关论文
共 42 条