Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 2: Stochastic thermodynamics and information processing
DY 2.6: Talk
Monday, March 20, 2017, 11:00–11:15, HÜL 186
Extreme values of mesoscopic currents in physics and biology — •Edgar Roldan1, Izaak Neri1,2, Simone Pigolotti1, and Frank Jülicher1 — 1Max Planck Institut fur Physik Komplexer Systeme — 2Max Planck Institute for Molecular Cell Biology and Genetics
The dynamics of mesoscopic systems driven out of equilibrium often exhibits currents against the external driving, as shown in a plethora of experiments inter alia, colloidal systems trapped with optical tweezers and single molecule experiments with molecular motors. What is the maximal mesoscopic current against the external driving that can be observed in a given time? We show that the extreme-value statistics of active molecular processes are governed by the statistics of entropy production. For example, the infimum the entropy production during the stepping a molecular motor can be related to the maximal excursion of the motor against the direction of an external force. We recently derived the infimum law for entropy production: The negative record of entropy production in a given time cannot be below minus the Boltzmann constant. Using the Infimum Law, we make predictions for the distribution of the maximum backtrack depth of RNA polymerases and for the maximum distance traveled by a colloidal particle in a periodic potential against an external force. Our results are extensively validated with numerical simulations and are in agreement with experimental data.
References [1] I Neri, É Roldán, F Jülicher, arXiv:1604.04159 (2016).