Abstract
We prove a diffusion law for a disordered Lorentz gas obtained by modification of a model of Gates, Gerst, Kac in Ref. 1, even though the motion is not a Markovian one in the technical sense of the word.
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References
Gates, Gerst, and M. Kac, Non-Markovian Diffusion on Idealized Lorentz Gas,Ark. Rat. Mech. Anal. 1973:106-135.
B. Gaveau and A. Méritet, Un Exemple de Diffusion dans un Gaz de Lorentz Désordonné,C. R. Acad. Sci. Paris 294:459 (1982).
J. M. Ziman,Models of Disorder (Cambridge University Press, Cambridge, 1979).
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Gaveau, B., Meritet, A. Example of diffusion in a disordered Lorentz gas. J Stat Phys 32, 539–544 (1983). https://doi.org/10.1007/BF01008954
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DOI: https://doi.org/10.1007/BF01008954