Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Glasses (joint session DY/DF/CPP)

DY 10.9: Talk

Tuesday, March 12, 2013, 11:45–12:00, H46

Exact Nonlinear Response in the driven lattice Lorentz gas — •Sebastian Leitmann and Thomas Franosch — Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, 91058, Erlangen, Germany

We determine the nonlinear time-dependent response of a tracer on a lattice with randomly distributed hard obstacles as a force is switched on. The calculation is exact to first order in the obstacle density and holds for arbitrarily large forces. In particular, we show that the nonlinear mobility in the stationary state becomes non-analytic in the driving force. Furthermore we demonstrate that the stationary velocity is approached exponentially fast for any finite values of the force, in striking contrast to the power-law relaxation predicted within linear response. We discuss the range of validity of our analytic results by comparison to Monte Carlo simulations.