Journal of mathematical physics vol:41 issue:3 pages:1528-1554
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 path space 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. (C) 2000 American Institute of Physics. [S0022-2488(00)00403-5].