On the generation of anomalous and ultraslow diffusion

Iddo Eliazar, Joseph Klafter

Research output: Contribution to journalArticlepeer-review

Abstract

We consider an ensemble of particles propagating randomly in a general space. The particles trajectories are independent and identically distributed copies of a general random spatial curve. The motions of the particles along their trajectories are subordinated to nonlinear clocks with random exponents. We characterize the class of Poissonian randomizations of the clocks exponents that render the statistical behavior of the ensemble invariant with respect to the particles trajectories. In particular, we show how anomalous diffusion and ultraslow diffusion statistical behaviors can be universally generatedregardless of the specific details of the particles trajectories.

Original languageEnglish
Article number405006
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number40
DOIs
StatePublished - 7 Oct 2011

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