Lagrangian formalism and classical statistical ensemble

Autor:	Yoo-Kong, Sikarin
Rok vydání:	2023
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	The Lagrangian formulation in the classical statistical mechanics is introduced. A key important point is that one requires to replace the standard real time with the imaginary time through the Wick's rotation. The area of a constant energy-shell in the tangent bundle is preserved under the time evolution. Consequently, a definition of the statistical ensemble can be defined. Comment: 3 figures, 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.16288 Zobrazit plný text záznamu View this record from Arxiv