Drift of particles in self-similar systems and its Liouvillian interpretation.

  title={Drift of particles in self-similar systems and its Liouvillian interpretation.},
  author={Felipe Barra and Thomas I Gilbert and Mauricio Romo},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={73 2 Pt 2},
We study the dynamics of classical particles in different classes of spatially extended self-similar systems, consisting of (i) a self-similar Lorentz billiard channel, (ii) a self-similar graph, and (iii) a master equation. In all three systems, the particles typically drift at constant velocity and spread ballistically. These transport properties are analyzed in terms of the spectral properties of the operator evolving the probability densities. For systems (i) and (ii), we explain the drift… CONTINUE READING

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