Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation  

作　　者：Yahui Zheng Jiulin Du 

机构地区：[1]School of Science,Henan Institute of Technology,Xinxiang 453003,China [2]Institute of Physics,Henan Institute of Technology,Xinxiang 453003,China [3]Department of Physics,School of Science,Tianjin University,Tianjin 300072,China

出　　处：《Communications in Theoretical Physics》2021年第12期137-148,共12页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.11405092。

摘　　要：Self-consistency in nonextensive statistical mechanics is studied as a recourse to parameter transformation,where different nonextensive parameters are presented for various theoretical branches.The unification between the first and third choices of the average definition and that between the normal and escort distributions are both examined.The problem of parameter inversion in the generalized H theorem is also investigated.The inconsistency between the statistical ensemble pressure and molecular dynamics pressure can be eliminated.This work also verifies the equivalence of physical temperature and gravitational temperature in nonextensive statistical mechanics.In these parameter transformations,the Tsallis entropy form is observed to remain invariant.

关 键 词：SELF-CONSISTENCY escort distribution parameter transformation nonextensive statistics 

分 类 号：O414.2[理学—理论物理]