title: Thermodynamic aspects of information transfer in complex dynamical systems.
abstract: From the Horowitz-Esposito stochastic thermodynamical description of information flows in dynamical systems [J. M. Horowitz and M. Esposito, Phys. Rev. X 4, 031015 (2014)], it is known that while the second law of thermodynamics is satisfied by a joint system, the entropic balance for the subsystems is adjusted by a term related to the mutual information exchange rate between the two subsystems. In this article, we present a quantitative discussion of the conceptual link between the Horowitz-Esposito analysis and the Liang-Kleeman work on information transfer between dynamical system components [X. S. Liang and R. Kleeman, Phys. Rev. Lett. 95, 244101 (2005)]. In particular, the entropic balance arguments employed in the two approaches are compared. Notwithstanding all differences between the two formalisms, our work strengthens the Liang-Kleeman heuristic balance reasoning by showing its formal analogy with the recent Horowitz-Esposito thermodynamic balance arguments.
authors.affiliation: SUNY Polytechnic Institute, 12203 Albany, New York, USA.
authors.forename: Carlo
authors.initials: C
authors.lastname: Cafaro
authors.affiliation: Albany College of Pharmacy and Health Sciences, 12208 Albany, New York, USA.
authors.forename: Sean Alan
authors.initials: SA
authors.lastname: Ali
authors.affiliation: Clarkson University, 13699 Potsdam, New York, USA.
authors.forename: Adom
authors.initials: A
authors.lastname: Giffin
mesh_terms: D019277:Entropy; D008962:Models, Theoretical; D011336:Probability