Regensburg 2016 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 11: Focus Session: Stochastic thermodynamics and information processing (joint session DY/BP)

DY 11.5: Hauptvortrag

Montag, 7. März 2016, 17:15–17:45, H44

Feedback control of transport in nanostructures. — •Tobias Brandes — TU Berlin, Institut für Theoretische Physik

I will discuss some models for transport through nanostructures from the point of view of thermodynamics and information. I start with a feedback-controlled stochastic process that works by mapping onto time-dependent (open-loop) control in an enlarged space of counting events [1], which has been experimentally realized very recently. Conceptually, with its infinite-bias limit this is somewhat outside the usual modified fluctuation-theorem paradigm, but a model of particle transport through a large number of channels can be partly used for the thermodynamic analysis [2]. In the Gaussian limit of this Kardar-Parisi-Zhang-like model, the dynamics can be interpreted as a simple diffusive spreading of a feedback signal across the channels that displays scaling. This can be quantified via the flow of information, and becomes visible, e.g., in the spectral function of the particle noise.

I will also present recent work on feedback control of a correlation function, i.e., the waiting time statistics of transport [3], including optimization ( with C. Emary) and an equivalent substitute (`hardwired') model for an analysis in terms of entropies.

[1] T. Brandes, Phys. Rev. Lett. 105, 060602 (2010). [2] T. Brandes, Phys. Rev. E 91, 052149 (2015). [3] T. Brandes, Ann. Phys. (Berlin) 17, No 7, 477-496 (2008).