The modeling of anomalous transport in the diffusion-ballistic regime

  title={The modeling of anomalous transport in the diffusion-ballistic regime},
  author={P. A. Likhomanova and Ivan Tronin and A. M. Grekhov and Vladimir Tronin and Vladimir Borman},
  journal={Journal of Physics: Conference Series},
1 Citations
Analytic description of anomalous diffusion in heterogeneous environments: Fokker-Planck equation without fractional derivatives.
A one-dimensional model of diffusion in a heterogeneous environment, which qualitatively reflects the transport properties of a polymeric membrane with carbon nanotube areas, is presented, which explains the mechanism of anomalies in a ballistic-diffusion regime.


Rounding of the localization transition in model porous media.
Two models of increasing complexity are considered: a cherry-pit model with hard-core correlations as well as a soft-potential model, where the transition is rounded, since each tracer encounters its own critical density according to its energy.
Adsorption and diffusion of the antiparkinsonian drug amantadine in carbon nanotubes
Using molecular simulations, we study the adsorption and diffusion of an antiparkinsonian drug known as amantadine (or 1-aminoadamantane) in different single-walled carbon nanotubes (SWCNs) with
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking.
This Perspective is intended as a guidebook for both experimentalists and theorists working on systems, which exhibit anomalous diffusion, and pays special attention to the ergodicity breaking parameters for the different anomalous stochastic processes.
Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity.
It is demonstrated that the time averaged MSD stays linear as a function of the lag time and the system thus reveals a weak ergodicity breaking, which will enable one to rationalise the diffusive motion of larger tracer particles such as viruses or submicron beads in biological cells.
Strain response of thermal barrier coatings captured under extreme engine environments through synchrotron X-ray diffraction.
Results of this study demonstrate that variations in these conditions create corresponding trends in depth-resolved strains with the largest effects displayed at or near the interface with the bond coat.
Thermal transport through a one-dimensional quantum spin-1/2 chain heterostructure: The role of three-site spin interaction
We study the thermal transport through a quantum spin-1/2 chain heterostructure, which consists of a finite-size chain with two-site isotropic XY interaction and three-site XZX+YZY interaction
Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking.
This work discusses the behaviour of the time averaged mean squared displacement for two prominent stochastic processes, namely, continuous time random walks and fractional Brownian motion, and presents analytical expressions for the velocity correlation functions.
Critical dynamics of ballistic and Brownian particles in a heterogeneous environment.
The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition and suggest that apparent power laws with varying exponents generically occur and dominate experimentally accessible time windows as soon as the heterogeneities cover a decade in length scale.