22 citations · 30 across the 4 of their papers we have counts for
4 papers
Strong overlap of deterministic and stochastic dynamics in a super-diffusive regime
Muhammad Tayyab, Jahanzeb Tariq
We consider deterministic dynamics, known as the slicer map (SM), which exhibits normal and anomalous diffusion by varying a single parameter. The statistics of the position moment…
Generalized autocorrelation function in the family of deterministic and stochastic anomalous diffusion processes
Muhammad Tayyab
We investigate the observables of the one-dimensional model for anomalous transport in semiconductor devices where diffusion arises from scattering at dislocations at fixed random…
Displacement Autocorrelation Functions for Strong Anomalous Diffusion: A Scaling Form, Universal Behavior, and Corrections to Scaling
Jürgen Vollmer, Lamberto Rondoni, Muhammad Tayyab +2
Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments of displacement, with exponents that do not depend linearly on the order of the moment. Th…
Equivalence of position-position auto-correlations in the Slicer Map and the Lévy-Lorentz gas
Claudio Giberti, Lamberto Rondoni, Muhammad Tayyab +1
The Slicer Map is a one-dimensional non-chaotic dynamical system that shows sub-, super-, and normal diffusion as a function of its control parameter. In a recent paper [Salari et…