R. M. Kiehn "When does a dynamical system represent an Irreversible Process"
SIAM Snowbird May 1997 poster
Cartan's construction of (what Slebodzinsky coined as) the "Lie derivative" with
respect to a vector field, V, acting on a 1-form, A, is described by Marsden as
Cartan's Magic Formula. (J.E.Marsden & T.S. Ratiu "Introduction to Mechanics
and Symmetry" Springer Verlag 1994 p. 122-127)
In the current context, Cartan's magic formula is recognized both as an equation
of topological evolution and as a cohomological equivalent to the First Law of
Thermodynamics.
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