• Corpus ID: 219176790

Anomalous diffusion in semi-crystalline polymer structures

@inproceedings{Kostadinova2020AnomalousDI,
  title={Anomalous diffusion in semi-crystalline polymer structures},
  author={E. G. Kostadinova and Joshua Lee Padgett and Constanze Liaw and Lorin Swint Matthews and Truell W. Hyde},
  year={2020}
}
From the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability to understand and control the mechanisms guiding such processes across various scales has important application to research in materials science, finance, medicine, and energetics. Here we present an analytical method for studying anomalous diffusion which combines concepts from fractional calculus and spectral… 
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References

SHOWING 1-10 OF 84 REFERENCES
Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method
This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one-dimensional
Transport properties of disordered two‐dimensional complex plasma crystal
In this work, we investigate numerically the transport properties of a 2D complex plasma crystal using diffusion of coplanar dust lattice waves. In the limit where the Hamiltonian interactions can be
Direct measurement of superdiffusive energy transport in disordered granular chains
TLDR
It is shown in the experiments that disorder and nonlinearity—which individually favor energy localization—can effectively cancel each other out, resulting in the destruction of wave localization, and that subdiffusive transport should be attainable by controlling the strength of the system’s external precompression force.
Superdiffusive transport and energy localization in disordered granular crystals.
We study the spreading of initially localized excitations in one-dimensional disordered granular crystals. We thereby investigate localization phenomena in strongly nonlinear systems, which we
Anomalous transit-time dispersion in amorphous solids
Measurements of the transient photocurrent I(t) in an increasing number of inorganic and organic amorphous materials display anomalous transport properties, The long tail of I(t) indicates a
Detection of non-Brownian diffusion in the cell membrane in single molecule tracking.
TLDR
Using Monte Carlo simulations of particles undergoing short-term confined diffusion within a compartment and long-term hop diffusion between these compartments, the intricate relationships of these time-related experimental parameters with the intrinsic diffusion parameters have been clarified and indicated that by systematically varying the frame time and rate, the anomalous diffusion can be clearly detected and characterized.
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Abstract Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type are presented as a useful approach for the description of transport dynamics in complex systems
Spectral approach to transport in a two-dimensional honeycomb lattice with substitutional disorder
The transport properties of a disordered two-dimensional (2D) honeycomb lattice are examined numerically using the spectral approach to the 2D percolation problem, characterized by an Anderson-type
Electrorheological Complex Plasmas
Conventional electrorheological (ER) fluids consist of suspensions of microparticles in usually nonconducting fluids with a different dielectric constant. The interparticle interaction, and hence,
Nondiffusive transport in plasma turbulence: a fractional diffusion approach.
TLDR
A macroscopic transport model for the pdf is proposed based on the use of fractional derivatives in space and time that incorporate in a unified way space-time nonlocality (non-Fickian transport), non-Gaussianity, and nondiffusive scaling.
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