Unified thermodynamic uncertainty relations in linear response

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• Katarzyna Macieszczak, Cavendish Lab
• Tuesday 23 October 2018, 13:00-14:00
• MR11, CMS.

If you have a question about this talk, please contact Professor Mike Cates.

Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in non-equilibrium systems. For small perturbations away from equilibrium, linear response (LR) theory provides the natural framework to study generic non-equilibrium processes. Here we use LR to derive TURs in a straightforward and unified way. Our approach allows us to generalize TURs to systems without local time-reversal symmetry, including for example ballistic transport, and periodically driven classical and quantum systems. We find that for broken time-reversal, the bounds on the relative uncertainty are controlled both by dissipation and by a parameter encoding the asymmetry of the Onsager matrix. We illustrate our results with an example from mesoscopic physics. We also extend our approach beyond linear response: for Markovian dynamics it reveals a connection between the TUR and current fluctuation theorems.

arxiv:1803.01904 (accepted by Phys. Rev. Lett.)

This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.

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• All CMS events
• DAMTP Statistical Physics and Soft Matter Seminar
• MR11, CMS
• Soft Matter
• bld31

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