Finsler structure in thermodynamics and statistical mechanics

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Takayoshi Ootsuka¹ 

[1] Ochanomizu University

关键词: Berwald manifolds;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

We consider the Finsler structure and contact structure in variational principle of equilibrium thermodynamic theory. Einstein's statistical thermodynamic theory was proposed as a statistical mechanics using macroscopic thermodynamic variables as stochastic variables. We generalise Einstein's statistical theory from Finsler geometrical viewpoint, and operating inverse process of variation, path integration, we propose a new statistical theory. Einstein's theory becomes the WKB approximation of our new theory.

【 授权许可】

Unknown