46 citations
6 papers
The localization regime in a nutshell
N. Moutal, D. S. Grebenkov
High diffusion-sensitizing magnetic field gradients have been more and more often applied nowadays to achieve a better characterization of the microstructure. As the resulting spin…
Diffusion toward non-overlapping partially reactive spherical traps: fresh insights onto classic problems
Denis S. Grebenkov
Several classic problems for particles diffusing outside an arbitrary configuration of non-overlapping partially reactive spherical traps in three dimensions are revisited. For thi…
Diffusion NMR in periodic media: efficient computation and spectral properties
Nicolas Moutal, Antoine Moutal, Denis S. Grebenkov
The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Lapla…
A first-passage approach to diffusion-influenced reversible binding: insights into nanoscale signaling at the presynapse
Maria Reva, David A. DiGregorio, Denis S. Grebenkov
Synaptic transmission between neurons is governed by a cascade of stochastic reaction-diffusion events that lead to calcium-induced vesicle release of neurotransmitter. Since exper…
Resonance scattering in a waveguide with identical thick barriers
A. Delitsyn, D. S. Grebenkov
We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the hole…
Universal spectral features of different classes of random diffusivity processes
V. Sposini, D. S. Grebenkov, R. Metzler +2
.Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous me…