334 citations · 1.8k across the 27 of their papers we have counts for
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Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes
A. G. Cherstvy, R. Metzler
We investigate the ensemble and time averaged mean squared displacements for particle diffusion in a simple model for disordered media by assuming that the local diffusivity is bot…
Critical adsorption of polyelectrolytes onto planar and convex highly charged surfaces: the nonlinear Poisson-Boltzmann approach
Sidney J. de Carvalho, Ralf Metzler, Andrey G. Cherstvy
We study the adsorption-desorption transition of polyelectrolyte chains onto planar, cylindrical and spherical surfaces with arbitrarily high surface charge densities by massive Mo…
Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion
A. S. Bodrova, A. V. Chechkin, A. G. Cherstvy +3
It is quite generally assumed that the overdamped Langevin equation provides a quantitative description of the dynamics of a classical Brownian particle in the long time limit. We…
Ageing underdamped scaled Brownian motion: ensemble and time averaged particle displacements, non-ergodicity, and the failure of the overdamping approximation
H. Safdari, A. G. Cherstvy, A. V. Chechkin +2
We investigate both analytically and by computer simulations the ensemble averaged, time averaged, non-ergodic, and ageing properties of massive particles diffusing in a medium wit…