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Slowly divergent drift in the field-driven Lorentz gas

Slowly divergent drift in the field-driven Lorentz gas

The dynamics of a point charged particle that moves in a medium of elastic scatterers and is driven by a uniform external electric field is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that the typical speed grows with time as ${t}^{1/3}$ and that the leading …