Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Statistical Physics far from Thermal Equilibrium - Part I

DY 3.6: Talk

Monday, March 31, 2014, 11:00–11:15, ZEU 160

Non-monotonic Density in the Compressible Car Parking Problem — •Johannes Nuebler, Brendan Osberg, and Ulrich Gerland — Arnold-Sommerfeld Center for Theoretical Physics and Center for NanoScience, Theresienstraße 37, 80333 München

The non-equilibrium dynamics of the one-dimensional adsorption-desorption process, the so-called "car parking problem", have been extensively studied. For fast adsorption, starting from an empty line, the covered fraction quickly reaches a plateau at which point all "parking spots" are too short for further adsorption. Thereafter, equilibrium is approached through much slower collective rearrangements.

Motivated by histone proteins on DNA, we generalize the adsorption-desorption process to soft particles. In this "compressible car parking problem", the particle density increases much faster and can be non-monotonic. We attribute this to the history of the parking spot size distribution and study its non-equilibrium thermodynamics.