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math-ph2013★ 15 cited
Power-law distributions for the free path length in Lorentz gases
Jens Marklof, Andreas Strömbergsson
It is well known that, in the Boltzmann-Grad limit, the distribution of the free path length in the Lorentz gas with disordered scatterer configuration has an exponential density.…
math-ph2010
The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates
Jens Marklof, Andreas Strömbergsson
The dynamics of a point particle in a periodic array of spherical scatterers converges, in the limit of small scatterer size, to a random flight process, whose paths are piecewise…