On the scale-invariant distribution of the diffusion coefficient for classical particles diffusing in disordered media

  title={On the scale-invariant distribution of the diffusion coefficient for classical particles diffusing in disordered media},
  author={Yan-Chr Tsai and Yonathan Shapir},
  journal={Journal of Physics A},
The scaling form of the whole distribution P(D) of the random diffusion coefficient D(x) in a model of classically diffusing particles is investigated. The renormalization group approach above the lower critical dimension d=0 is applied to the distribution P(D) using the n-replica approach. In the annealed approximation (n=1), the inverse Gaussian distribution is found to be the stable one under rescaling. This identification is based on symmetry arguments and subtle relations between this… 
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