Nonlinear response in the driven lattice Lorentz gas.

@article{Leitmann2013NonlinearRI,
  title={Nonlinear response in the driven lattice Lorentz gas.},
  author={Sebastian Leitmann and Thomas Franosch},
  journal={Physical review letters},
  year={2013},
  volume={111 19},
  pages={190603}
}
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. Whereas, on the impurity-free lattice, the nonlinear drift velocity in the stationary state is analytic in the driving force, interactions with impurities introduce logarithmic contributions beyond the linear regime. The long-time decay of the… CONTINUE READING

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