Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation

• 作者: Yahui Zheng Jiulin Du
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（12）
• 所属期刊栏目: STATISTICAL PHYSICS,SOFT MATTER AND BIOPHYSICS
• 页码范围: 137-148
• 页数: 12页
• 语种: 英文

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.