Mathematical Physics


The Formulation Of Thermodynamical Path Integral

Authors: Takahiro Kajisa

In a non-equilibrium thermodynamical physics, there has been al- most no universal theory for representing the far from equilibrium sys- tems. In this work, I formulated the thermodynamical path integral from macroscopic view, using the analogy of optimal transport and large deviations to calculate the non-equilibrium indicators quantita- tively. As a result, I derived Jarzynski equality, fluctuation theorem, and second law of thermodynamics as its corollaries of this formula. In addition, the latter result implies the connection between non- equilibrium thermodynamics and Riemannian geometry via entropic flow.

Comments: 8 Pages.

Download: PDF

Submission history

[v1] 2018-10-25 02:40:01

Unique-IP document downloads: 28 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus