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Entropy 2004, 6(3), 262-292; doi:10.3390/e6030262
Article

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

Received: 19 November 2003; Accepted: 4 May 2004 / Published: 17 May 2004
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Abstract: 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, dSequil=0.
Keywords: Entropy production; Irreversible processes; Pfaff topological dimension; Cartan's Magic formula; Decay to stationary states far from equilibrium Entropy production; Irreversible processes; Pfaff topological dimension; Cartan's Magic formula; Decay to stationary states far from equilibrium
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Kiehn, R.M. Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.. Entropy 2004, 6, 262-292.

AMA Style

Kiehn RM. Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.. Entropy. 2004; 6(3):262-292.

Chicago/Turabian Style

Kiehn, Robert M. 2004. "Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.." Entropy 6, no. 3: 262-292.


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