Title | ||
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Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution. |
Abstract | ||
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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. Kiehn | 1 | 0 | 0.34 |