Fluctuation relation for weakly ergodic aging systems.

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

Nonadiabatic entropy production for non-Markov dynamics.

We extend the definition of nonadiabatic entropy production given for Markovian systems by Esposito and Van den Broeck [Phys. Rev. Lett. 104, 090601 (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a notion of stability characterizing non-Markovianity. For stable non-Markovian systems, the nonadiabatic entropy production satisfies an integral fluctuation theorem, leading to ...

Effects of an external drive on the fluctuation - dissipation relation of phase - ordering systems

– The relation between the autocorrelation C(t, tw) and the integrated linear response function χ(t, tw) is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high temperature phase T > Tc a non-equilibrium stationary state is entered which is characterized by a non-trivial fluctuation-dissipation relation χ(t − tw) = ˜ χ(C(t − tw)). For que...

Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation

Steady state fluctuation relations for nonequilibrium systems are under intense investigation because of their important practical implications in nanotechnology and biology. However the precise conditions under which they hold need clarification. Using the dissipation function, which is related to the entropy production of linear irreversible thermodynamics, we show time reversibility, ergodic...

Response behavior of aging systems with temporal disorder

Temporally disordered systems frequently exhibit complex intermittent dynamics accompanied by aging and weak ergodicity breaking. Here, we analyze the response behavior of temporally disordered dynamical processes by employing a functional representation. We find that the linear response to an external perturbation is history-dependent and explicitly calculate the response function for a sub-di...