Dimensional study of the dynamical arrest in a random Lorentz gas.

  title={Dimensional study of the dynamical arrest in a random Lorentz gas.},
  author={Yuliang Jin and Patrick Charbonneau},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={91 4},
  • Yuliang JinP. Charbonneau
  • Published 2 September 2014
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The random Lorentz gas (RLG) is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d=2-6. Comparison of the results with standard mode-coupling theory reveals… 

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