Home /
Abstract

"Formulating Classical Non-Equilibrium Thermodynamics through Coherent Application of Contact Structures"

Author: MOHD FIRASATH ALI, NIHAL AHMED, Dr. SYED MUJAHED HUSSAINI

Doi: https://jmeb.2024.v9.i02.pp79-91

Abstract:

This article gives an outline of a new way to write Classical Non-Equilibrium Thermodynamics (CNET) mathematically, which is based on a contact structure in differential geometry. First, a non-equilibrium state space is introduced as the third important part of thermodynamics, along with the first and second laws. This state space gives us the math we need to apply the Gibbs fundamental relation to thermodynamics that is not in equilibrium. A new way of writing the second law of thermodynamics is suggested, and it is shown how to get back to the idea of non- equilibrium entropy. The idea behind this version is based on a physical number that is never equal to zero in non- equilibrium thermodynamics. The inequality is used in most other versions in the books. This is a different point of view. This statistical theory shows that the Gibbs free energy defines the thermodynamic potential. For closed systems with only one part, the set of coupled coordinates in the math structure fo

Download PDF