title: Fluctuation theorems for entropy production in open systems
abstract: We derive a fluctuation theorem to describe entropy fluctuations in steady states of systems with density gradients due to open boundaries. The fluctuations are related to the growth rate of the phase-space density, instead of the phase-space contraction rate. Explicit derivations are presented for a multibaker map, but the arguments are rather general, and should hold for a much wider class of dynamical systems. A comparison with recent results for stochastic systems is also given.
authors.affiliation: Dipartimento di Matematica, Politecnico di Torino, Italy.
authors.initials: L
authors.lastname: Rondoni
authors.initials: T
authors.lastname: Tel
authors.initials: J
authors.lastname: Vollmer