Maes C., Redig F., Van Moffaert A.
On the definition of entropy production via examples
(90K, LATeX 2e)
ABSTRACT. We present a definition of entropy production rate
for classes of deterministic and stochastic dynamics. The point of
departure is a Gibbsian representation of the steady state
pathspace measure for which `the density' is determined with
respect to the time-reversed process. The Gibbs formalism is used
as a unifying algorithm capable of incorporating basic properties
of entropy production in nonequilibrium systems. Our definition is
motivated by recent work on the Gallavotti-Cohen (local)
fluctuation theorem and it is illustrated via a number of examples.