Title
Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.
Abstract
A concept of entropy production associated with continuous topolog- ical 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 prod- uct 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 sub- manifold of the 2n+2 topological space, upon which the change in entropy by continuous topological evolution is zero, dS{equil}=0.
Year
DOI
Venue
2004
10.3390/e6030262
Entropy
Keywords
Field
DocType
decay to stationary states far from equilibirum.,pfaff topological dimen- sion,cartan's magic formula,irreversible processes,entropy production,topological space,stationary state
Topology,Topological quantum number,Topological entropy in physics,Topological order,Symmetry protected topological order,Topological vector space,Entropy production,Topological degeneracy,Mathematics,Zero-dimensional space
Journal
Volume
Issue
Citations 
6
3
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Robert M. Kiehn100.34