• E-pile model of self-organized criticality 

      Rasmussen, Jens Juul; Milovanov, Alexander V.; Rypdal, Kristoffer (Working paper; Arbeidsnotat, 2007-11-28)
      The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without fine tuning, thus offering a route to self-organized criticality (SOC) which in many cases is more natural than the weak random drive combined with ...
    • Stretched exponential relaxation and ac universality in disordered dielectrics 

      Rasmussen, Jens Juul; Milovanov, Alexander V.; Rypdal, Kristoffer (Working paper; Arbeidsnotat, 2007-05-30)
      This paper is concerned with the connection between the properties of dielectric relaxation and ac (alternating-current) conduction in disordered dielectrics. The discussion is divided between the classical linear-response theory and a self-consistent dynamical modeling. The key issues are, stretched exponential character of dielectric relaxation, power-law power spectral density, and anomalous ...
    • Stretched-exponential decay functions from a self-consistent model of dielectric relaxation 

      Milovanov, Alexander V.; Rasmussen, Jens Juul; Rypdal, Kristoffer (Working paper; Arbeidsnotat, 2007-07-22)
      There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function. Its physical origin and statistical-mechanical foundation have been a matter of debate in the literature. In this paper we suggest a model of dielectric relaxation, which naturally leads to a stretched exponential decay function. Some ...