Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.

Entropy

关键词: Entropy production;    Irreversible processes;    Pfaff topological dimension;    Cartan's Magic formula;    Decay to stationary states far from equilibrium;   

DOI  :  10.3390/e6030262

来源: mdpi

【 摘 要 】

A concept of entropy production associated with continuous topological evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium symplectic system of Pfaff Topological dimension 2n+2. The differential entropy, dS, is composed of the interior product of the non-canonical components of momentum with the components of the differential velocities. An irreversible process can describe entropy production in terms of continuous topological evolution to non-equilibrium but stationary states. An equilibrium system can be defined topologically as a Lagrange submanifold of the 2n+2 topological space, upon which the change in entropy by continuous topological evolution is zero, dS_equil=0.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.