Breadcrumb

Anomalous diffusion

Supervisor: Carl Dettmann

Theme: Dynamical Systems & Statistical Mechanics

Normal diffusion is described at large scales by Brownian motion (of individual particles) or by the diffusion equation (of their density). The mean square displacement is proportional to the time, and the distribution of displacements is Gaussian. But there are many systems
where this behaviour is modified, for example where the dynamics is intermittent or nonautonomous, as in transport through nanopores and on vibrating surfaces.


Publications

  • New horizons in multidimensional diffusion: The Lorentz gas and the Riemann Hypothesis (2012)
    Carl P. Dettmann
    Journal of Statistical Physics, vol: 146, Pages: 181 - 204
  • Escape and transport for an open bouncer: Stretched exponential decays (2012)
    Carl P. Dettmann and Edson D. Leonel
    Physica D, vol: 241, Pages: 403 - 408